diff --git "a/data/dm_maths/full_data_2/10735_11255.jsonl" "b/data/dm_maths/full_data_2/10735_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10735_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is -0.1 times -0.029?\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -7*d - 3. Let t(x) = -4 - 8475*x - 9 + 4 - 6 + 8439*x. Give -11*c(g) + 2*t(g).\nAnswer: 5*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 14 = 2*z + 14, 0 = 5*l - 3*z + 140. Let y be ((-4)\/(-14))\/((-12)\/l). Let x = -435 + 445. Put 0.5, y, x in descending order.\nAnswer: x, y, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*v**3 - 3*v**3 + 0*v**3)*(-3 - 2 + 3)*(0*v - 6*v + 5*v - 3) as d + c*v**4 + o*v + n*v**3 + i*v**2 and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 17 = 6*d. Suppose -d*f = -2*n - 8, -6 = n + 3*n - 3*f. Let u(i) = 2*i + 4. Let v be u(n). Solve -a + v*a + 4 = -4*w, 5*a = 2*w + 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/2 + (10 - 4). Suppose -z + 2*h - 2 = h, -2*h + 12 = y*z. Solve 0 = -0*n + z*n - 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62, -60, -58, -56, -54, -52?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4034 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -24101, 3, -0.024, 4\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/(-42) + 324\/378 + (-5889)\/16965.\nAnswer: -2\/145","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m + 5. Let j be i(-7). Let r = 14 - j. Suppose -3*n = n - r. What is the smallest common multiple of n and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 4*d - 8 = 0. What is the remainder when 4 is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15 + 1d?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-14) + 12\/56. Let q be 4\/(-10) - (-22)\/5. Let m = 111\/2 + -54. Sort j, m, q in ascending order.\nAnswer: j, m, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**2 + 2 - 2 + 5*v**2 - 4*v**2 + 0*v**2 + (2*v + 4*v - v)*(7*v - 4*v - 4*v) + 0*v + v**2 + 0*v + (2*v + 0*v + 0*v)*(-13*v + 14*v - 9*v).\nAnswer: -18*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 3. Let z be (2 + 2 - 3) + l. Let g(d) = d**2 - 2*d. What is the units digit of g(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 126, 1, 6.4, -4, -12.\nAnswer: -12, -4, 1, 5, 6.4, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 62, 98, 160, 254, 386, 562, 788, 1070?\n\"Answer: k**3 + 7*k**2 + 8*k + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-7 + 8 - 6) + 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 7*o - 96 = 2*o, -o - 105 = -4*s. Suppose -3*z - s = -174. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 854 and 46160286.\nAnswer: 323122002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1240 = 25*h - 20*h. Does 13 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 5*n + 25. Let h be i(-6). Let z = 11 + h. Let y(w) = -3*w**2 + 4*w + 3*w**2 - w**2 + 6. What is y(z)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-77)\/3 + (-12)\/36. Let z = 23 + x. Let u = 26 + -28. Put z, u, -0.04 in decreasing order.\nAnswer: -0.04, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p - 9 = -12*p. Sort p, -5, 0, 5 in increasing order.\nAnswer: -5, 0, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54281 = -2083*y - 1110*y for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4931170?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -3) + (2 - (-8 - -4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 5*s**2 + 2*s + 4. Let d be (-550)\/(-75)*(-3)\/(-2). Let u(a) = a - 8. Let x be u(d). Give j(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -3 + -1 + 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 6) to base 2\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 201*i**2. Let l(m) = -m + 1. Let b(f) = -3*f + 4. Let r(d) = -b(d) + 4*l(d). What is p(r(g))?\nAnswer: 201*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2204 - -3805. Let x = r - 5672.9. Let n = x - 353. What is n rounded to the nearest integer?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 55*y**3 - 2*y - 1. Let r be i(-1). Let b = 9 - 3. Let q = b - r. Calculate the highest common factor of q and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -466172.\nAnswer: -1\/233086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/6 (b) 0.1 (c) 0.05 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -24. Let u be ((-250)\/8)\/(4\/d). Suppose -h - u = -6*h. Is h a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1526 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 172 and 3096?\nAnswer: 3096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 92 and 128654318.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 44 + -47. Let l = 0.17 - -0.03. What is the closest to 1 in l, h, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45781 is divided by 21407.\nAnswer: 2967","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-4\/9)\/g*g)\/g*g)\/(g\/(g*g**6)))**(1\/3) assuming g is positive.\nAnswer: g**(50\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t**2 + 960*t + 33845. Give f(513).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -41*f - 15. Let z(v) = 18*v + 7. Let a(y) = 2*d(y) + 5*z(y). Let w(s) = 7*s + 6. What is 4*a(u) - 3*w(u)?\nAnswer: 11*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 33864 - 7a?\nAnswer: 337d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 + 46713*d + 93422.\nAnswer: (d + 2)*(d + 46711)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l\/(l*l**(1\/4)))\/l*l))**(-1\/31)*(l\/(l**4*l*l)*l)\/l**(1\/4))**3 assuming l is positive.\nAnswer: l**(-399\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9054 by -3.\nAnswer: -3018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -416 + 416 - 2*z**2. Let c(n) = 17*n. What is i(c(p))?\nAnswer: -578*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 24, 49, 74, 99, 124, 149?\n\"Answer: 25*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 14*b - 5. What is the remainder when 35 is divided by s(-12)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ifefivaaaf. What is prob of picking 1 v, 1 e, and 1 i?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1291*x**2 - 5092*x.\nAnswer: 2582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 437934 and 2338?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3*c - 2 = 0, -3*w - 5*c + 167 = 0. What is the highest common factor of 27 and w?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.144 + 1.14412765. What is n rounded to 6 decimal places?\nAnswer: 0.000128","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/612 (b) 1\/2 (c) 2\/183\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -588 = 5*k - 618 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189 = -5*f + 484. Suppose 3*t + 72 = -t. Calculate the remainder when f is divided by 6\/3 - t\/1.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.07319 + 66594027.2\nAnswer: 66594027.27319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 6*v - v + 31 = 0, 14 = -2*b - 2*v. Let t be 90\/36*(-2)\/b. Factor -15\/4*y**4 + 5\/2*y**2 + 15\/4*y - 5\/2*y**3 - 5\/4*y**5 + t.\nAnswer: -5*(y - 1)*(y + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1418952989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -491 - -497. Solve 3*d = -2*x + z, -x - 7*d + 3 = -2*d for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5417 + 5554. Is 4 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 1140?\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 27 = -4*c - 15, -m + 28 = -4*c. What is the highest common factor of m and 700?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -44 + 12 + 5 - -14.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ere when three letters picked without replacement from {e: 2, r: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 68 - 126. Let n = -20 - b. Let h = -140 + 178. What is the highest common divisor of n and h?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 times 5.8?\nAnswer: 678.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 45883356?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5927.4 * 17.\nAnswer: 100765.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**3 - 5*j**2 - 23*j - 6. Let a be z(5). Solve 0 = -f - 4*r + 2, -2*f - 4*r = -a for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/6 and 2331\/(-42)*(-2)\/15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 1 - 2)*(5*z - 2*z - z) + 4*z - 2*z - 3*z - 2*z + 2*z - z)*(13 - 8 + 5) to o + s*z and give s.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/(-2*(sqrt(36)\/sqrt(4) + sqrt(9)) + sqrt(9)).\nAnswer: -sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -2*h**3\/3 - 148*h**2\/3 + 1050*h - 4968 = 0.\nAnswer: -92, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -120556197*r**3*t**3 - 115449*r**3 + 163*r*t wrt t?\nAnswer: -723337182*r**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.408549025 rounded to 1 dp?\nAnswer: 16.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2)\/f)**(13\/2)*f**(3\/5)\/(f**(-8)\/f) assuming f is positive.\nAnswer: f**(-99\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 270 - 270. Solve d = -5*t + 1 - 6 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (((-8834)\/4)\/(-7))\/(2\/4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, -1, -2, 1 in increasing order.\nAnswer: -2, -1, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 37 + 13. Let f = -22 + d. Solve 0 = f*w + 3*w - 24 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -7. Suppose 0 = j*h - 5*b - 37, 0 = -3*h - 3*b + 3 - 6. What is the first derivative of 7 - 5*k**4 + k**h - 8 + 20 wrt k?\nAnswer: -16*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**2 - 4*z**4 - 14 + z**3 + 2*z**2 + 17 to the form n*z**4 + u + p*z**3 + l*z + m*z**2 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3 (b) 2\/81 (c) 0.1 (d) 0.4 (e) -10 (f) 13 (g) 42\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1916631458?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27\/4 + 7. Suppose -o + 39 - 33 = 0. Suppose o*r = 3*r - 9. Which is the third smallest value? (a) -2 (b) r (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 122.\nAnswer: 12.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 20\/163, -3, 2\/7, 2\/9, -0.009, 0.2?\nAnswer: 20\/163","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3764 and 102569.\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -8*s**2 + 804*s + 406. Give w(101).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*y - y + y)*(-92 - y - y + 196) in the form a + j*y**2 + z*y and give z.\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1940 to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3703 = -4*i + 3679 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1172 - 51565\/44. Which is smaller: p or 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -35. What is the tens digit of -2 - (h + (2 - 3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55 and 9845.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -5*c**2 + 72*c + 72. What is f(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -8 + 4 + 3 + -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/11 or 2029?\nAnswer: 2029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 7*v**2 - 6*v + 3. What is the tens digit of a(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 54*l**2 + 2*l - 1. Let s be v(1). Let t = 222 + -136. Let k = t - s. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -59792060\/21 - -2847925. Let z = 103020\/7 + -107837\/7. Let c = z + q. Find the common denominator of -173\/30 and c.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5*x + 18 = 0, -13*x - 21 = -5*g - 11*x. Let w(q) = -3 + g + 24*q - 13*q. Let o(l) = -11*l. What is o(w(u))?\nAnswer: -121*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -14*r - 10. Let b be u(-4). Suppose s - 10 = 6*s, 2*l - 2*s = b. Let j be 9 - 1*(5 + -3). Calculate the highest common divisor of j and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.8 - -1.5. Let d = 1.3 + s. Let f = -3.5 + 0.5. What is the second smallest value in 3\/5, d, f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of 14*x**5\/15 - 92*x**4\/3 - 2458*x**3\/9 - 550*x**2 + 384*x + 228. Determine m so that q(m) = 0.\nAnswer: -3, 2\/7, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 359440256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 7*g**2 - 2919*g - 455662. Calculate k(-121).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of 11*z**7\/840 - 107*z**6\/480 + 49*z**5\/48 + 25*z**4\/32 - 535*z**2. Find s, given that f(s) = 0.\nAnswer: -3\/11, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 r when two letters picked without replacement from {a: 1, y: 1, r: 1, j: 2, l: 2, w: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*y - 2*k = 3933 - 3965, 0 = 5*k + 10 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4558523290*q - 4*q**2 - 4558523290*q.\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -100 (b) 5 (c) 17\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -85*t - 3. Is w(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g + 4. Let w be x(3). Let m(s) = -s**3 - 4*s**2 - 3*s - 2. What is the units digit of m(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 87\/18 + -13 + 7\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*y + 33*y - 72 = 0. Calculate the greatest common factor of y and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/19 - 5552108*t**2\/19 - 11104210*t\/19 - 292216.\nAnswer: -2*(t + 1)**2*(t + 2776052)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n**2 + 2*n - 7. Let j(r) = r**3 - 7*r**2 + 8*r - 7. Let k be j(6). Let p(t) = t**2 - t + 3. Calculate k*p(y) + 2*o(y).\nAnswer: y**2 - y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 4*n**2 - 8*n - 7. What is the tens digit of z(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -117900 divided by 10?\nAnswer: -11790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1128*3\nAnswer: 3384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1132996287 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28740 and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13175817 to the power of 1\/2, to the nearest integer?\nAnswer: 3630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 5*c**2 - 17. Let h = 7 + 1. Let f(y) = 3*y**2 - 11. Let m(b) = h*f(b) - 5*n(b). What is the first derivative of m(g) wrt g?\nAnswer: -2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of u**6\/120 + u**5\/20 - 3*u**4\/4 + 7*u**3\/6 + 672*u**2. Determine o(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -2*o - 3*o - 35, 5*u + o = -76. Let x be -5*(3 + u\/3). What is the units digit of ((-15)\/x)\/(6\/(-76))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -94401974 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (166 - 12) + -367 + 276.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*j - 135 - 177. Let t = -45 - j. Calculate the highest common divisor of 14 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 4*a - 42, -5*a - 5*r + 60 = -0*r. Suppose a = 2*n + 2. Determine c, given that 1\/5 - 1\/5*c**n + 0*c**2 - 2\/5*c + 2\/5*c**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 23\/130?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 s when three letters picked without replacement from sohvxvvsvvhohvtshv.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-2\/9))**46)**(-2\/9))**(-5\/6) assuming j is positive.\nAnswer: j**(-460\/243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.04996 - 25.95004. Let k be (-13)\/91 - 270\/(-1694). Let w = -355\/484 - k. Which is greater: t or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 - 7*g + 5. Let h be z(-6). Let l(a) = -4*a - 3 + h*a - 2. Does 11 divide l(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + m + 19 = 0, -m + 9 = 2*v + 2*m. Let s(g) = -g**3 + 7*g**2 - 7*g + 9. Let d be s(v). Suppose d*a + a - 56 = 0. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or -9.11?\nAnswer: -9.11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3027 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) - (sqrt(156) + -2*sqrt(156) - sqrt(156))*-1)\/(sqrt(12) + (sqrt(144)\/sqrt(3))\/sqrt(4) + sqrt(12)) - (3 + -3 + sqrt(637))**2*-5.\nAnswer: -sqrt(13)\/3 + 3185","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 5947602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 19604 and -7?\nAnswer: 19611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) + 5*-1*sqrt(121) - sqrt(121))\/sqrt(11))**2.\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -208141 divided by -1?\nAnswer: 208141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gaq when three letters picked without replacement from {q: 1, a: 5, g: 5, x: 1}?\nAnswer: 5\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -14498\nAnswer: -1\/7249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26522 - -26522.16. What is the fourth smallest value in -1, -5, 2\/9, 0.3, y?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 216398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*(184 - 7) + -4. Suppose -13*n + c + 360 = 0. Is n a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8, -65, -260, -637, -1256, -2177, -3460, -5165?\n\"Answer: -10*j**3 - j**2 + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 652*k**2 + 10686*k - 28. Determine h(-16).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43974 = -3*m + 3*x, 4*m - 5*x = 7*m - 43942. Suppose 23*b = 40*b - m. What are the prime factors of b?\nAnswer: 2, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 200\/7 = 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3a - 3a7533?\nAnswer: -3a74b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of p**2\/2 + 7*p - 2. Calculate s(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2880942 litres to millilitres.\nAnswer: 288.0942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 8*a**2 + 8*a - 12. What is the units digit of i(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 205947396 or 205947395?\nAnswer: 205947395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kktkttktckkc. What is prob of sequence ck?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4*v + 44. Let g be b(10). Suppose 0 = -9*w + 4*w - 3*h + 267, -g*w + 192 = -3*h. Let y = 148 - w. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 27 = 24*b + 7*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i*k**2 + 11*i - 102*k**3 - 2*k + 2 wrt k?\nAnswer: 4*i - 612*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (3 + (-4 - -21) - 6).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of 0*l + 4\/3*l**3 - 12*l**2 + 9. Factor j(s).\nAnswer: 4*s*(s - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-15) + 62\/10. Let c(d) = 3*d - 8. Let f be c(i). Let m(o) = o**3 - 9*o**2 + 10. Let q be m(f). What is the highest common divisor of 22 and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*k**3\/17 + 2452*k**2\/17 - 1200010*k\/17 - 240100\/17 = 0. What is k?\nAnswer: -490, -1\/5, 245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 5*c**2 + c - 1. Let m be k(-2). Let i(v) = v**2 - v**2 + m*v**2. Let z(d) = -d. Give z(i(f)).\nAnswer: -17*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25*a**5 - 127*a**4 - 130*a**3 + 1103*a**2 - 287*a + 7 wrt a?\nAnswer: 1500*a**2 - 3048*a - 780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gbgiccr. What is prob of picking 1 b, 2 c, and 1 i?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 157549656 a multiple of 373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - -5)\/(6\/8). Suppose -3*q = -4*m + 14, 0 = -4*q + o*m - 12. Let w = -446.87 + 446.37. Which is the third smallest value? (a) q (b) w (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10172, 2, -3 in increasing order.\nAnswer: -10172, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus 407069272212.24?\nAnswer: -407069272211.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-14) - (-1)\/(-3))*56\/(10640\/171)?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of l**3\/3 - l**2 - 2*l - 1. Let g(n) = -n**3 + n + 3. Let s be g(0). Give i(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*m*q**3 + 36*m*q**2 + 1968*q**3 + 65*q**2 - 1 wrt q.\nAnswer: -42*m + 11808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 556*g = 548*g + 56. What is the remainder when 109 is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 9) to base 15\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/15498 and -79\/2054700.\nAnswer: 589698900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45 + -40. Let o = -13 + a. Find the common denominator of 57\/34 and (-9)\/(-18) + 10\/o.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (19025*(-12)\/21)\/(48\/(-168) - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44 + 76 + 77 + r)*(-28*r + 5*r + 2 - 20*r + 0*r).\nAnswer: -43*r**2 - 4685*r + 218","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 156d - -105a?\nAnswer: 25c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 66\/(-18)*22\/48 and -47\/40?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 173200878 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1776002413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d**4 - 288 - 74*d**2 + 288 + d to u*d**2 + s*d + q*d**3 + h + p*d**4 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*g - 10*g + 26*g - 22.\nAnswer: g - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 4*f + 25 = 0, 3*q - 12 + 9 = 3*f for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 785?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -4*j**2 - 62*j + 43. Let o be (-11 - -2)*(-30)\/(-18). What is the remainder when 218 is divided by v(o)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/3, 2\/661, -0.07, -1, 0, 0.15?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 22*v - 43 - 221 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0*(-1)\/4*-2. Suppose 2*k - 56 = 4*g, 2*k - 5*g = -i*g + 60. Calculate the lowest common multiple of k and 22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.03, -1, -3, -19, -4\/59 in descending order.\nAnswer: -0.03, -4\/59, -1, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -939b?\nAnswer: -93a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k*k*k**(1\/4)))\/k)**19)**(-20\/3) assuming k is positive.\nAnswer: k**285","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -72*g + 43 + 9*g - 2 - 49 + 2*g as s*g + j and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -50*h + 2 - 5 - 8 + 51*h as v*h + p and give p.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z + 12*z = 2*z - 12, -p = 5*z + 11 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/(-16))\/((-3)\/(-24)). Differentiate m*s**3 - 8 - 6 + 7*s**3 + 3 wrt s.\nAnswer: 33*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**2\/3 + 18*x + 55\/3 = 0. Calculate x.\nAnswer: -1, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -12680b8?\nAnswer: 12680b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 15*d**2 - d + 6. Calculate l(15).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -4*i**3 - 8*i**2 + 6*i + 99. What is the remainder when 417 is divided by d(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 15057, 15056, 15055, 15054?\n\"Answer: -d + 15058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiad when four letters picked without replacement from {i: 11, a: 1, d: 6}?\nAnswer: 11\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k + 9*k = k + 217875. List the prime factors of k.\nAnswer: 5, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18544 is divided by 6250.\nAnswer: 6044","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 3*z**4 + z**4 + z - 3*z**2 + 0*z**2 + z**2 to w*z**3 + y*z**2 + x*z + l*z**4 + r and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 8:19 PM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -11054905 not equal to -11054883?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64153000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3*d = 4044, 84*f - 10100 = 79*f - 5*d. What is the lowest common multiple of f and 168?\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*n**4 - 7285*n**3 - 108120*n**2 - 292545*n + 1076490 = 0. Calculate n.\nAnswer: -1329\/8, -9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of 0 - 28*m**2 - 1\/12*m**4 + 0*m + 0*m**3. Let t(a) = 2*a - 1. Calculate t(b(i)).\nAnswer: -4*i - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 962\/7 or 138?\nAnswer: 138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182*n = 2461 + 3149 - 14710 for n.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(10\/9)*t**(9\/5))**20)**(-1\/10) assuming t is positive.\nAnswer: t**(-262\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 81 = -3*r, 57 = -5*r + 67. Suppose -2*u = 3*u - 330. Let i = y + u. What are the prime factors of i?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 + -45. Let p be (r\/(-4))\/(4\/6746678). Suppose -5*h = 1826661 + p. What is h rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - x + 2. Let u be h(2). Suppose i - 7 = -w, 0*i - 18 = -4*w + i. Suppose w*j + 2*c - 12 = c, 0 = j - 2*c + 2. Solve -u = -3*l + j*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*o - 94 - 88 = 598 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -730\/7 + 105. Do 2 and c have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/((-135)\/(-40))*6\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**3 + a**3 + a**3 + (-2*a**2 + 0*a**2 + 0*a**2)*(-a - a - a))*(-3*a**2 - 4*a**2 + 3*a**2).\nAnswer: -40*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/239780 and -1\/494.\nAnswer: 3117140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a*a*(((a*a**(-16\/3))\/a)\/a)\/a)\/a)\/(a*a**14))**46 assuming a is positive.\nAnswer: a**(-2806\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 6 - 7) + (9 - -2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.4 + 2. Let t be (-4)\/18 - (-57)\/135. What is the closest to -1\/3 in g, t, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15428 + 17047943\/1105. Let z = 37\/13137487 - 943521260623\/29033846270. Let j = z - h. Calculate the common denominator of -79\/18 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 494 and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -396 - -397. Is 74 a factor of (p - 6)\/(-2*7\/1932)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -808 + 863. Calculate the remainder when 160 is divided by q.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 4*d**2 + 2*d - 4. Let t(i) = i**2 + 5*i - 3. Let q be t(-6). Is r(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (27\/(-6))\/3*-2. Let f(y) = y**3 - y**2 - y - 3. Let l be f(c). Is l not equal to 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 13764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 + 57*c - 41. Let l = 721 - 691. What are the prime factors of b(l)?\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*r + 425220 = 178*r. What are the prime factors of r?\nAnswer: 3, 5, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v\/(v\/((v\/v**(-7))\/v))))**(4\/3))**(-45))**8 assuming v is positive.\nAnswer: v**2880","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1790?\nAnswer: 2, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*r = -45*r - 50 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 73 - 7 = 0. Let x = q - 21. Is x equal to -2\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/1*(-595)\/15 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 202\/130 - (84\/35 + -3).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c - 1. Let h be j(-4). Let q(v) = -2 - v**2 - v**2 - h*v + v**2. Calculate the remainder when 19 is divided by q(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1508 a factor of 14896024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**4\/3 + 4429*q**3\/6 - 9947*q**2\/6 + 1105*q\/3 = 0.\nAnswer: 0, 1\/4, 2, 1105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x + 108. Let f(n) = -83*n + 37*n + 45*n. Calculate f(s(y)).\nAnswer: -2*y - 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + -1)*2 + 2. Let s = 1 + -3. Let p be ((-3 - -3)\/(-2))\/1. Sort p, s, r in ascending order.\nAnswer: s, p, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -5*t + 6 - 1, 4*t - 5*k = 17 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 65753 to the power of 1\/2, to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/1137 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (43\/3)\/(0 + 5\/15). What is the highest common factor of k and 172?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2910 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = t - 2*n, -3*n - 8 = -3*t + 22. Let p(s) = -s**3 + 7*s**2 - 6*s. What is p(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 18*q**2 + 8*q + 149. What is h(-18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 21368*q**2 + 2371866*q + 1998 = 0.\nAnswer: -111, -9\/10684","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 369, -882, -2959, -5862, -9591, -14146, -19527?\n\"Answer: -413*y**2 - 12*y + 794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -3*a**3 + 5*a**2 - a + 5. Let o(x) = -4*x**3 + 6*x**2 - 2*x + 6. Let y(q) = -3*j(q) + 2*o(q). Suppose u - 99 = 4*u. Let i = u + 37. What is y(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 8854 in descending order.\nAnswer: 8854, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211 is divided by 139.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s + 3*s - s)*((2*s**2 + s**2 + 0*s**2)*(1 + 4 - 1) - 7*s - 66*s**2 + 7*s).\nAnswer: 108*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 23, 81, 205, 419, 747?\nAnswer: 1213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106*3*(-4)\/(-8)*(-785)\/(-2355).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a tonne in kilograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 414 - 418. Is ((-4)\/6 + 1)\/(d\/(-4164)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 688 (base 13) to base 16\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j**3 + 8*j**2 + j + 18. Let s(r) = 6*r**3 + 6*r**2 + 2*r + 15. What is -6*s(o) + 5*v(o)?\nAnswer: -21*o**3 + 4*o**2 - 7*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10029990 and 15?\nAnswer: 10029990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 876.8518mm?\nAnswer: 876851.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 18 = -68. Suppose 38 = -4*c + 118. Calculate the least common multiple of f and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12535343 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7 - 2\/7*i**4 + 4\/7*i**2 + 0*i + 0*i**3.\nAnswer: -2*(i - 1)**2*(i + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -415 divided by -192005\nAnswer: 83\/38401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, m: 2, y: 8, e: 6}. What is prob of picking 2 y?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -13\/2099 (b) 1\/5 (c) 1\/50 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, y: 8}. Give prob of sequence syyy.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9399 and 0.5.\nAnswer: 4699.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 150 divided by -2\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1031450 and 82600.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25175015 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 18388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 8*b + 40 - 7 - 18*b. Let a be w(3). What is the third derivative of -16*x**5 - 223*x**3 - 29*x**2 + 223*x**a wrt x?\nAnswer: -960*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2552 and 1377822856.\nAnswer: 1377825408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16008 and 35517083.\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -91? (a) 1 (b) 1770763 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (665\/(-120))\/19*10\/(-105). Let t(j) be the first derivative of 9 - m*j**6 + 0*j**3 + 1\/12*j**4 + 0*j**5 - 1\/12*j**2 + 0*j. Factor t(x).\nAnswer: -x*(x - 1)**2*(x + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4975232 is divided by 7232?\nAnswer: 6848","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14942 + 26743. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1061 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 7. Let l = 1 - h. Let f = -2 - l. Which is the second smallest value? (a) 0.5 (b) 2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 53412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8853 - -8922.2. What is the nearest to p in -0.3, 0.2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + c**2 - c + 18. Let q = -20 + 20. Calculate the remainder when w(q) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 6*v**2 - 4*v. Let f(g) = -g**2 + g. Let l(o) = -d(o) - 4*f(o). Suppose -x + 4*x = 0. Let m(t) = 2*t**2 + 0 + x. Calculate m(l(z)).\nAnswer: 8*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 19248.5094 to the nearest 1000.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = o + 84. Let k(h) = -h**2 + 6*h + 3. Calculate the remainder when o is divided by k(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103.252034 times -2?\nAnswer: 206.504068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 16 = 0, 3*q + 8*n - 5 = 13*n for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 54\/15 + (-72)\/120. Solve -150*k + m*d = -145*k - 10, -4*k + 4*d = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.5335 rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w**3 - 19*w**2 - 10*w - 10. Let k be q(-8). Suppose k = -d + 7*d. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 2. Let u(p) = 3*p**2 - 7. Suppose -78 = 34*h - 40*h. Suppose 273 = -0*q - h*q. Calculate q*r(k) + 6*u(k).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 12:34 PM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 105808 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + c = 440. Let q = c - -54. Let o be ((-4)\/(-8)*q)\/((-3)\/468). Calculate the highest common factor of o and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 15 = 5*p, -3*v + 37 = 2*v - 3*p. Let c be 43*(-10 - -5)\/v. Which is smaller: c or -45?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 1:55 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 - 0.2. Let g = -2 - -5. Let l be (g\/(-1))\/((-15)\/(-2)). What is the nearest to 1 in 4, y, l?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -3. Let m be 17\/3 + 8\/(-12). Solve 4*v = -m*g - 26 + 5, w*g + 12 = -3*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*t - 6 = 17*t, -4*t + 97312 = -o. Round o to the nearest 1000.\nAnswer: -97000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17\/18 - 79\/126. Let a = -40805552\/743 + 54920. Let s = a - -9363\/27491. Calculate the common denominator of s and u.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 2\/16843?\nAnswer: 2\/16843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-52)\/(-3)*28980\/4830\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-7))\/(665\/32585).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -52106136 + -5?\nAnswer: -52106144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 6*w**2 + 3*w - 3. Let y be f(7). Let b = y - -192. Let q = b + 146. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and -43929?\nAnswer: 43929.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 8 + 20 = 0. What are the prime factors of (o\/35)\/((-2)\/(-60))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10202 - 10202.001713. What is h rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 628446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 16*v**3 - v**2 - 6*v + 377. Let d(m) = -33*m**3 + 3*m**2 + 10*m - 755. Let j(t) = -3*d(t) - 5*f(t). Differentiate j(i) with respect to i.\nAnswer: 57*i**2 - 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/8 (b) -0.1 (c) -1.1 (d) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 25*y + 12442. What is w(-494)?\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.5 + 7. Let a be -11*38\/(-12) - 1. Let k = -34 + a. Sort -1\/10, k, y in decreasing order.\nAnswer: -1\/10, k, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1371, -5476, -12315, -21888, -34195?\nAnswer: -49236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -4 + (6 - 12) + (15 - (5 + 0)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 46.3 and -0.4?\nAnswer: 46.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 501389.\nAnswer: 7, 41, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 948\/247 less than or equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = -2*g - 3 - 1, 0 = -4*p + 16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-644)\/70 - -8) + 6\/5. Let p = -287 - -3425\/12. Let z = p + 4\/3. What is the third smallest value in 0.3, z, h?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2)*(v\/(v**0\/v)*v)\/v)**(3\/7)*((v*v**0)**38)**33 assuming v is positive.\nAnswer: v**1254","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -271701 divided by -1041.\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -57019 - 1?\nAnswer: -57020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*m**2 - 2 + 6*m**3 + 3*m**2)*(12 + 95 + 58) as b + r*m**3 + w*m + o*m**2 and give b.\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 884320 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42499525 to the nearest integer?\nAnswer: 6519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -62, -1\/10 in descending order.\nAnswer: 0.4, -1\/10, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2781\/5*p**2 - 859329\/5*p - 3\/5*p**3 + 88510887\/5 = 0.\nAnswer: 309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of 7*f**5\/5 - 23*f**4\/3 - 80*f**3 + 72*f**2 + 356*f. Solve r(a) = 0.\nAnswer: -3, 2\/7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -9\/5, 4, -11\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.467*354.84.\nAnswer: -165.71028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l - 1. Let w be h(2). Let r be (20\/100)\/((-2)\/4). Which is the closest to r? (a) w (b) -1 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 76.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 98*d**5 - d + 931 wrt d.\nAnswer: 1960*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7816\/17 - 460. Which is bigger: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 2) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/3? (a) 4\/9 (b) -7.4 (c) 2\/7 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b - 106?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*r + 15 = -c - 169*r, -5*c - 3*r = 19 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 855227? (a) -0.033 (b) 5 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -414?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1578 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 8*u**2 + 13*u + 3. Let k = 15 - 1. Calculate the remainder when v(9) is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((2*(sqrt(20) + sqrt(40)\/(sqrt(2) + sqrt(50))))\/(sqrt(100)\/(sqrt(10)*-1*3 + sqrt(10) - sqrt(10))) + 5)**2.\nAnswer: -70*sqrt(2) + 123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*c - 8 = 0, v - 35 + 5 = 5*c. Let s = v + -7. Solve 0 = 4*d + 3*m + 16, 5*d + 8 = 3*d - s*m for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -821078 times -0.1\nAnswer: 82107.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - -3) + (-2)\/1 + 2. What are the prime factors of ((-200)\/24)\/((-1)\/y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y + 8*y - 16. Let f(v) = -6*v - 7. Let g be f(-2). What is the smallest common multiple of y and 44\/g + 3\/15?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 954 = 44*m - 74*m + 39*m. Solve 0 = -3*u - m + 127 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(99) + sqrt(99)*2) - (sqrt(99) - (sqrt(99) - -5*(sqrt(99)*1 + sqrt(99) - sqrt(99)))))\/((sqrt(9) + (sqrt(9) - -3*sqrt(36)))*3))**2 + 3.\nAnswer: 707\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 198 and 162?\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 3 = 5*p. Let c = -23 + 12. What are the prime factors of c\/(-1) - (p + -5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 455944, 455943, 455942?\nAnswer: 455941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**4 - 22676*l**3 + 45368*l**2.\nAnswer: -4*l**2*(l - 2)*(l + 5671)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12795?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 8011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 22*v**2 + 125*v + 144. Give o(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1879628 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20340, -22430, -24534, -26658, -28808, -30990, -33210?\nAnswer: -35474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 102353.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9773, -9772, -9771, -9770, -9769?\nAnswer: -9768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - 2*n + (-19 - 31 - 32)*(-4*n + 3*n - 3*n).\nAnswer: 326*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 9 - 99. Let z = f + -50. Is (6\/(-4) + 1)*z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.41405 less than 0.14?\nAnswer: -9.27405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128440558?\nAnswer: 2, 64220279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 v, and 2 f when four letters picked without replacement from yqqvqqvffyqqyqyvj.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n + 14. Let s = 37 + -26. Let u be g(s). Let t(k) = 14*k + 6. Is t(u) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5192, 10387, 15582, 20777, 25972?\n\"Answer: 5195*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 f when four letters picked without replacement from {f: 7, m: 6}?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 55 + -24. Suppose 0 = 19*u - 4 + 4. Suppose -5*c - j + 6 = u. Is -6 not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -57 + 13*v**2 + v**3 + 9*v**2 - 24*v - 16*v**2. Calculate the lowest common multiple of 9 and p(-8).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1152411.332 rounded to the nearest one thousand?\nAnswer: -1152000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-21))**(7\/6)*v**(-33)*(v*v**4)\/v)**(-30) assuming v is positive.\nAnswer: v**1605","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 2*t + 362 = 0. Let w = 256 - t. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - 2*m + 5. Calculate c(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 2*v + v)*(-2*v**2 - 3 + 3)*(-v**2 + 0*v**2 - v**2).\nAnswer: 12*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*b - 6*b - 2 - 4*b + 9992*b**2 + 9992*b**2 - 19966*b**2.\nAnswer: 18*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58, 109, 160?\nAnswer: 211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 7*z**2 - 4*z - 1. Let m be h(6). What is the remainder when 34 is divided by m + 0 + (-10)\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4814 + 4814. Suppose 4 = -2*g + 24. Solve 0 = g*r + 10 - x for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-2))\/1 - 33\/3. Let z be -2 - (d\/(-25) + (-27)\/5). Solve 3*f - 2 = z*r + 4, 2*f - 7 = -r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.73 - 1.02. Let q = -1.93 + c. Let n = 1.7 + q. What is n rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54266 to the power of 1\/2, to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -49*c**3 - c**2 - 3*c - 1. Let b be n(-1). Suppose -2*l = -104 - b. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + o + 1. Let n be u(-2). Let y(k) = -k**2 + 2*k. Let d be y(4). Which is smaller: d or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 40*m - 41. Let l(b) be the first derivative of -20*b**2 + 41*b - 31. Let q(i) = -5*g(i) - 4*l(i). Differentiate q(c) wrt c.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-3\/2)*v*v**(-5\/3)*((v*v*(v\/(v\/(v**(1\/11)*v)))\/v*v*v)\/v*v*v)\/(v\/v**(2\/13)) assuming v is positive.\nAnswer: v**(1783\/858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 37511136 and 160?\nAnswer: 187555680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/4, 2\/3, 81, 17.9, 5\/4, -1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*t**3 + 15*t**2 - 15*t**2.\nAnswer: -31*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-seven halves of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s + 35 - 4*s + s + 3*s. Let z be c(-8). Let r = -9 + z. Calculate the greatest common divisor of 10 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4 + 0. Let x = -206 + 310. Let j = -104.2 + x. Put 0, w, -2\/9, j in decreasing order.\nAnswer: 0, j, -2\/9, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84\/8316*-33*(-21)\/(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1103588664\/11 greater than 100326243?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**3\/5 + 48*i**2 - 1440*i = 0. What is i?\nAnswer: 0, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -55*i**3 + 24*i**2 + 4*i - 26. Is s(-13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10\/2227 + -160731\/409768. Calculate the common denominator of f and (-4)\/18*(-1302)\/16 - 630\/90.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 8, f: 2}. Give prob of sequence feee.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -754160, 5, 3, 4 in decreasing order.\nAnswer: 5, 4, 3, -754160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 12) to base 14\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 7. Let z = 915 + -909. Calculate the remainder when k*(14\/4 + 0) is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - ((-1 - -1) + -4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 891042.5 milliseconds?\nAnswer: 891042500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000046084 to 7 decimal places.\nAnswer: 0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -715*f**3 - 4*f + 4*f.\nAnswer: -715*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -295 + 1135. Let l = i + -341. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -2*d**3\/3 - d**2 + 5*d + 14. Let w be f(-4). Which is smaller: -20 or w?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*(-6)\/(-4) - 3. Let m(u) = -2*u**2 + 0*u**2 + 5 - u + p. Let o(c) be the third derivative of -c**5\/60 + c**3\/2 + 18*c**2. Give 3*m(w) - 5*o(w).\nAnswer: -w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8)\/20 - 3\/(-30)*339494?\nAnswer: 17, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of v**6\/120 + 3*v**5\/10 - v**4\/2 - 31*v**3\/2 + 146*v**2 - 1. Calculate the remainder when i(-18) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {i: 1, a: 3, p: 2, v: 3, r: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 22012101120200 (base 3) in base 16?\nAnswer: 427e18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 797 less than -44.8016744?\nAnswer: -841.8016744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/((-84)\/39 + 2). Suppose 4*g + 4*p - p = 0, g + z = -4*p. Solve 6*k = 3*k + g for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 95134696 to the nearest integer?\nAnswer: 9754","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*i - 11*i + 238*i**3 + 4*i.\nAnswer: 238*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2542 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-154)\/(-119))\/(8\/68)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36\/(-3) + 3279 - (3 - 0).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ntnb when four letters picked without replacement from {b: 7, t: 2, o: 3, n: 5}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*p - 217 = -3*l - l + 2*l, 0 = -p + 2*l - 7 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9038 is divided by 9032.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 2002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -122 greater than -2392?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 91098834?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45 + -34. Let m = s - 10.8. Let q = 0.6 - m. What is the third biggest value in 1, -4, q, 15?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/u**0*u))\/u)**(-42) assuming u is positive.\nAnswer: u**84","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 2*r + 17. Does 10 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1309 and 7497.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26114 - -15536. Does 14 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-4)*(-12)\/(-45). Let x = -0.9 + 1.8. Let n = x + -1.9. What is the nearest to 0.1 in 0.5, y, n?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 2*c. Let d = 4 + -9. Let p be 3*-1 - 30\/d. Solve c = -p*y + 5*t + 18, -y - t = -3*t - 7 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 2\/5, -3, -24, -5, -0.45 in descending order.\nAnswer: 13, 2\/5, -0.45, -3, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1974 - -1381. Is u\/(-5) + (-9)\/15 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**3*t**3 - 13*g**3*t + 127*g*t**3 wrt t.\nAnswer: 6*g**3*t + 762*g*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3854.999990992 - -3855. What is h rounded to 6 dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 92*d + 754.\nAnswer: 92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3 = -123. Calculate the greatest common factor of b and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3158016 and 576.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6459?\nAnswer: 3, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -880 by -176.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 999130.\nAnswer: 2, 5, 11, 31, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1917946432.\nAnswer: 2, 151, 198463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wlnbcnck. Give prob of picking 2 c and 1 n.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*n - 2 + 1 + 0)*(3 - 1 + 2).\nAnswer: -28*n - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/25)\/(p**(2\/9)*p)*p\/p**22*p*p*p*p**(7\/6)*p)**(1\/43) assuming p is positive.\nAnswer: p**(-7711\/19350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4727 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 13\/4 of a gram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000 + 1?\nAnswer: 11001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*c**2 + 3*c**2 - 5 + c**2)*(6 - 3 - 2)*(-2 + 3 + 1) to p*c**2 + t*c + y and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2 - 12*v + 32.\nAnswer: -2*(v - 2)*(v + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*l + 29*l + 23*l - 2*l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -7 - (-583)\/(-3)*3. Let f = 790 - a. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 12*w**3 + 10*w**2 + 2*w - 10. Let k(i) = i**2 - i + 1. Let a be k(1). Let t(x) = -x**3 - x**2 + 1. Give a*o(y) + 10*t(y).\nAnswer: 2*y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 AM and 10:00 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -8*z**2 + 2*z + 2. Let p(h) = -6*h**2 + h + 1. Let r(f) = 3*p(f) - 2*t(f). Determine r(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - 0 - (-1 + 4). Let i be (-21)\/d - 2\/8. Suppose 2*x = -v + 4, 0 = 2*v + v + i*x - 12. Solve -z - 5*m = 3, -4*z - v*m + 4 = -0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 3101188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(-8)*d))\/(d*d**(3\/10)))\/((d\/d**(-6\/13))\/d*d*d*d*d**(-7\/4)) assuming d is positive.\nAnswer: d**(1297\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2196690 = -27*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*a + 29 = 0, 2 = w - a - 10. Calculate the lowest common multiple of w and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -1 - 35*w**3 + 2*w**2 + 19*w**3 + 14*w**3. Suppose -4*x + 42 = 2*s, 3*x + 3*s = 2*x + 13. Let d = x - 11. What is z(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7729*x**3 - 2*x - 28658 wrt x?\nAnswer: -23187*x**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72171*w**3 + 5 + 24060*w**3 + 24059*w**3 - 5 + 24071*w**3.\nAnswer: 19*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 11:07 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2 + sqrt(72)*2 + 2 + -1 + 4)**2.\nAnswer: 168*sqrt(2) + 337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/4 - 7*o\/4 + 247\/2.\nAnswer: -(o - 19)*(o + 26)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -218, -417, -626, -851, -1098, -1373, -1682, -2031?\n\"Answer: -t**3 + t**2 - 195*t - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115151?\nAnswer: 115151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1319*a + 1815 - 33471 = 0 for a.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**4\/f**(-1\/3))\/(f**(-16)\/f**(-9)) assuming f is positive.\nAnswer: f**(34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -8, -1\/7, -6, -6\/5, 4 in decreasing order.\nAnswer: 4, 0.3, -1\/7, -6\/5, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p. Let x(u) = -u**2 + 5*u. Let v(n) = 5*m(n) - 3*x(n). Let s(j) = 4*j**2. What is s(v(w))?\nAnswer: 36*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2406932831 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - 24*u - 83. Let w be j(-10). Suppose -3*c + 6*c = w. What is the remainder when 72 is divided by c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12ee (base 15) to base 6.\nAnswer: -30425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -7*b**3 - 3*b**2 + 1092 - 2185 + 1097 + 6*b. Let r(z) = 6*z**3 + 3*z**2 - 5*z - 3. Give 6*r(s) + 5*w(s).\nAnswer: s**3 + 3*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -18\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 9*p**2 + 18*p. Let g be r(7). Suppose g = 55*o - 48*o. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 341 (base 5) to base 3\nAnswer: 10120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 270 and 24?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + b + 3)*(-2*b**4 - b**4 + 2*b**4) - 211*b + 81*b**5 + 211*b)*(11 - 11 - 9).\nAnswer: -720*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 17*m + 14. Let p be a(13). Which is greater: -37 or p?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 176 and 17699.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.1924 times 0.2155\nAnswer: -0.0414622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16845631081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(156)*-2)\/(sqrt(48)*-1 - 1*sqrt(363)))**2.\nAnswer: 208\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 + 5*c + 7. Let f be b(-7). Let r = f - 11. Solve -4*k + r = 3*i - 13, 0 = 5*i - 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12083*b**3 + 141209*b**2?\nAnswer: 72498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2740.232t to milligrams.\nAnswer: 2740232000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1010001 (base 2) to base 11\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 11*z - 6. Let y(a) = 3*a - 36 + 20*a + 23. What is -13*n(g) + 6*y(g)?\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56294 is divided by 1936?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dii. What is prob of sequence iid?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (195\/(-26))\/(2\/(-4)). Suppose -129 - 186 = -h*l. Calculate the remainder when 58 is divided by l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -3315*q - 22*q**3 + 186*q**2 + 20114 - 21*q**3 - 1862 - 20*q**3 + 60*q**3 = 0.\nAnswer: 13, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34005, -68007, -102011, -136017, -170025?\nAnswer: -204035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b**3 + 100*b**2 - 131*b. Give q(32).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1337 and 16426?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3942.71 and 1142.\nAnswer: -4502574.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.8? (a) 18 (b) 0 (c) -1.3 (d) -5 (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 + 0)*(-3*i - 4*i + i).\nAnswer: -18*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 69?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/90, 3, 3\/162055, 0.1 in decreasing order.\nAnswer: 3, 0.1, 1\/90, 3\/162055","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -64013 divided by -1\nAnswer: 64013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/6 - (653535\/206)\/(-135).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85054 + 325378 = 28*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r**2 + 9*r - 6. Let z be b(11). Let x = z + 1201. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 s when three letters picked without replacement from {s: 7, h: 3}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181 = 3*w + 196 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/3)\/y*y*y**(-4\/7))**(-1\/37) assuming y is positive.\nAnswer: y**(26\/777)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 17 = y, -39 = -4*f - y - 0*y. Let h = -224305 - -672952\/3. Does f = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 14) to base 4\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c + 3. Let l(v) = v + 1. Let h be 12*((-15)\/9 - -3). Let b = -23 + h. Let d(w) = -w**2 - 5*w + 8. Let y be d(-6). Determine b*l(x) + y*k(x).\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/((-40)\/(-724)) - (-2)\/(-10). Find the third derivative of 32*s**3 + t*s**2 - 36*s**2 - 38*s**2 wrt s.\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qyqqqqqqqqwqxxqqyqqj. Give prob of sequence jq.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, j: 5, i: 7, a: 4}. Give prob of picking 1 j, 1 e, 1 i, and 1 a.\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -159\/109 or 111?\nAnswer: -159\/109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -7*m**5\/30 - 7*m**3\/3 + 13*m**2. Differentiate w(u) wrt u.\nAnswer: -28*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c2d (base 14) in base 11?\nAnswer: -3950","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 y when two letters picked without replacement from {w: 3, y: 1, v: 5, j: 1, l: 10}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122460 divided by -5.\nAnswer: -24492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -44 - -39. Let m = 793 - 797. Is u less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 49390.03ng?\nAnswer: 49.39003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9\/(-4398))\/((-12)\/32). Is i at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/10*60\/(-45)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 15*t**2 + 4*t + 13. Suppose 3*v + 16 - 61 = 0. Let i be h(v). Let c = i + -48. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 46520 - 3?\nAnswer: 46514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 199998?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -361 divided by -175726.\nAnswer: 361\/175726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 1219375*t - 250. Let d be c(6). Round d to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*h + 76*h - 11*h + 6*h.\nAnswer: 96*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/2, 0.4, 637, 5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26\/9 in -4, 0.1, 2, 109?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24045803.\nAnswer: 17, 41, 34499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233415 is divided by 358?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35931216 to the nearest integer?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 7*b + 46. Let r be h(29). Suppose 289 = -10*w + r. Let p(g) = 5*g**2 + 5*g - 3. Let c(m) = 9*m**2 + 9*m - 6. Give w*c(n) + 7*p(n).\nAnswer: -n**2 - n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a53ba25a + -4?\nAnswer: a53ba256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22300 - -22320. Solve 4*n = -p - 13, -3*n + 24*p = g*p - 14 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168*j**4 + 156*j**3 + 889*j**3 + 107*j**3 - 1936*j**2 + 4*j**5 + 15760*j**2 = 0. Calculate j.\nAnswer: -6, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1086 and 6.\nAnswer: 1086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 123192227 to the nearest integer?\nAnswer: 11099","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r + 7*r - 8*r - 5*r.\nAnswer: -9*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 529 divide 752767?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -414*w**3 + 797 - 35 + 462 + 816*w**3 - 404*w**3.\nAnswer: -2*w**3 + 1224","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13158701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 869 = 5*b + 1238, 0 = l + 5*b - 558. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 2*i**3 - i)*(-i**2 + 10*i**2 - 25*i**2) + 2*i**2 + 2*i**5 - 2*i**2.\nAnswer: -30*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39 - 37. Let -28 - 8*j - 127*j**z - 2*j**4 + 2*j**3 - 20 + 147*j**2 = 0. Calculate j.\nAnswer: -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3 - -2 - 475\/(-495) and -46\/45.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 28 - 3*b**3 - 77*b + b**3 - 2*b**2 + 37*b + 42*b in the form t*b + n*b**2 + o + u*b**3 and give o.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 11:19 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 9:18 AM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 6 = -4*m. Suppose -2*u = 2*u - 5*j + 2, -6 = -u - m*j. Factor -u*t + t - 196 + 195 + t**2 + t**3.\nAnswer: (t - 1)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3657 is divided by 3385?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*c - 3*c + 2*c - 3*c.\nAnswer: 23*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 17531.28 kilograms?\nAnswer: 17531280000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + -16. Find the third derivative of 14*k**2 - k**4 + 5*k**n - 21*k**2 wrt k.\nAnswer: -24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 24*-1 + 4\/(-4). Let k = -25 - w. What is the remainder when 31 is divided by ((-11)\/2 + k)*(51 - 53)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -60 - -64. Suppose -3*r = -k*c - 48212, -2*c - c - r - 36146 = 0. Round c to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 1465 = 5*j, 747 = 3*j + 3*t - 108. What is the greatest common divisor of 34 and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 7*u = 175. Let r be 1*u*9\/9. Suppose -5*q + 50 = -3*q. Calculate the greatest common divisor of r and q.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -1 (c) 189.104 (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*o**2 - 1622367*o - 405591.\nAnswer: -3*(o + 135197)*(4*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33 + -28. Factor 2*v**3 - a*v**4 + 4*v**3 + 14*v**4 + 3*v**5 + 3*v**2 + 3*v**3.\nAnswer: 3*v**2*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8067711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1763538 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88 - (-63 + 98 + -63).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 710 + -640. What is the second derivative of 5*k - 39*k**5 - 3*k - 87*k**5 - o*k**5 - 135*k**5 + 107 wrt k?\nAnswer: -6620*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.55 and 1895.2277.\nAnswer: 1894.6777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1439 - -1441. Solve -2 = -z*h - 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9436 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: Sort -9, 2, 0 in descending order.\nAnswer: 2, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/9)\/((-3)\/27). Let r be 10\/h*-40*405. What is r rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -35?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2874720 divided by -24?\nAnswer: 119780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 - -49.5?\nAnswer: 49.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1005016\/28 + 10\/70*4 a multiple of 274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 22*z**2 - z + 1. Suppose 5*d + 2*f - 22 = 0, -4*d = -5*d - 3*f + 7. Suppose -2 = d*g - 6. Does 16 divide m(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -7*l**3 + l**2 - 10*l - 3. Let c(p) = -3*p**3 - 5*p - 2. Let j be ((-10)\/(-25))\/((-1)\/10). Let h(i) = j*y(i) + 9*c(i). Determine h(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 193.6044 + 0.3256. Let s = w - 184.7. What is s rounded to one dp?\nAnswer: 9.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.424 + 0.724. Which is the closest to 0? (a) -1 (b) 4 (c) -0.1 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65a (base 15) in base 9?\nAnswer: 1864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-15) + 16\/5. Suppose -p*o = -o. Suppose -2*u + x + 5 = o, 3*u - 6*x + 2*x = -5. Let w(c) = -c + 5. What is w(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 31*f**2 - 150*f - 9. Is 11 a factor of a(-35)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -1. Let t = 40 + -15. Let y be 2 - 16\/10 - (-15)\/t. Let f(d) = 4*d - 4. Determine y*f(u) - 4*i(u).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**3 + 5*v**3 - v**3 - 1)*(-10*v - 18 + 9 + 11) - 13*v**4 + 3*v**4 + 4*v**4.\nAnswer: -16*v**4 + 2*v**3 + 10*v - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -7*y - 58. Suppose -4*j + 7 = g, -2*g = 3*g - j - 35. Let r be x(g). Let s = -78 - r. Calculate the remainder when s is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3583 - 1169. What is the thousands digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 75 and 35?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p**3 - 1176*p**2 - 4752*p - 4768 = 0. Calculate p.\nAnswer: -2, 298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*c**3 + 3*c**3 + 16*c**3 + 2*c**2 - 13*c**3.\nAnswer: -12*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/5*((-84)\/(-18) - 3). Let s(t) be the first derivative of -13\/3*t**3 + 0*t**v + 17\/4*t**4 + 3 + 0*t. Find the third derivative of s(q) wrt q.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.9 - -0.1. Let d = -1.9 + 2. Which is the closest to d? (a) i (b) -4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3711, 10952, 21717, 36006?\n\"Answer: 1762*j**2 + 1955*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*y = -10*y + 315 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -165562, -165283, -165004?\n\"Answer: 279*h - 165841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/13 smaller than 19282?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -2 - 4. Put 4, 5, r in increasing order.\nAnswer: r, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 10:07 PM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8229402581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -1. Let i(s) = s**3 - s**2 - s - 10. Let d(j) = i(j) - 5*x(j). Give d(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 13*r**3 - 5. Let q(y) = 12*y**3 - 4. What is 6*q(v) - 5*s(v)?\nAnswer: 7*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -14*f + 1. Let x(p) = -15803*p. What is q(x(s))?\nAnswer: 221242*s + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 401339 = -19*m + 401757 for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l - 16. Calculate b(0).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 835.8035kg?\nAnswer: 835803500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-28)*r*r**(-46))**(3\/7) assuming r is positive.\nAnswer: r**(-48\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -16*w**2. Let u(f) be the third derivative of -f**4\/24 - 165*f**2. Determine q(u(t)).\nAnswer: -16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.244 and -0.03.\nAnswer: -0.09732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 p when two letters picked without replacement from {q: 2, c: 1, a: 1, t: 2, p: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4 + 3\/((-6)\/(-68)) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l**3 + 6*l**2 + 5*l - 2. Let n(m) = -2*m**3 + 3*m**2 + 3*m - 1. Let a(b) = 5*n(b) - 3*y(b). Determine a(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**3 + 4*j**2 - 4. Let v(n) = 26 + 29 - 54 - n**2. Determine -3*q(c) - 12*v(c).\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37 + -207. Let j = -45124\/5 - -9194. Let u = z + j. What is the second smallest value in 1, u, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 21440, 42538, 63636, 84734, 105832?\n\"Answer: 21098*x + 342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than -36736587868378?\nAnswer: -36736587868377.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 6932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*q + 0*q - 7*q**3 + (195*q**2 + 0 + 5 - 178*q**2)*(1 + 3 + 6*q - 5*q) - 4*q**3 + 2*q**3 + 0*q**3 to l*q**2 + x + g*q**3 + o*q and give x.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/5*55\/2. Suppose i - 3 = 3*y, 0 = 5*i + 2*y + 12 - x. What is the units digit of 2\/2 - i\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.41 less than 15551044234?\nAnswer: 15551044228.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9209579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 + -5623124?\nAnswer: -5623136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let a be (37 - 1)*1\/(-2). Let r = a - -21. Solve -7*l + r*l = -4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-35)*(-546)\/(-312)*10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aouuuoo. Give prob of picking 2 u and 1 a.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 5)*(20*r**2 - 14*r**2 + 50*r**2) + 6*r**2 - 7 + 7 to q + h*r**2 + b*r and give h.\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of y**5\/20 + 11*y**4\/12 + 5*y**3\/3 - y**2 - 156*y. Give f(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -10*v - 101. Let z be i(-15). Which is smaller: z or 50?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 0 - 1) + 6 + -10\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*39\/(-520)*94\/(-235).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -421 and -34?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13929?\nAnswer: 3, 4643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**3 - p + p + (-p**2 - 2*p**2 + p**2)*(-p + 0*p - p) - p**3 - p**3 + 4*p**3 + 3 - 3 + 2*p**3 - 18 + 18 + 27*p**3.\nAnswer: 33*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/5 + 76386*v + 381928\/5.\nAnswer: 2*(v + 1)*(v + 190964)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.36576 to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y**3 + 299 + 463430*y**2 - 299 - 463430*y**2.\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 2*x - 2. Is r(17) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 140 = o + 2*k, -3*o + 4*k = -407. Let b = o - -89. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -0.01 (c) 16 (d) -4\/3 (e) 24.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78260.\nAnswer: 2, 5, 7, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4649, 2\/7, 1\/666 in decreasing order.\nAnswer: 4649, 2\/7, 1\/666","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164 + 155*g - 163 + 15*g.\nAnswer: 170*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1592628 and 9768?\nAnswer: 35037816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-1188)\/990 - (-2)\/10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -5 + 0*l**2 + 0*l - 20\/3*l**3 - 17\/4*l**4. Find the third derivative of r(k) wrt k.\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1334 divided by -29.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 15 = -3*z, 4*z + 6 = 3*v + 28 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j - 3. Calculate o(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 - 6c85b?\nAnswer: -6c855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**2 + 3*f**2 + 2*f**2)*(f - f - 2*f**3) + 3*f**5 - 3*f**5 + 2*f**5 + 3*f**5 - 3*f**4 + 3*f**4 + (f**3 - 3*f + 3*f)*(-4 + 4 - 9*f**2).\nAnswer: -8*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 5 + -1 + -4 - 13 - 32?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 51984 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2081 - -2062) + 2 + -2 + 30?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 1, 0, 0.2951?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 63224\/17 (b) -3 (c) 0.3 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 50035 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 4 = -2. Which is smaller: -5\/6 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 3*x - 8 = 0. Let o = 7 + x. Suppose -v = o*v + 3*l - 23212, 0 = v - 4*l - 5784. Round v to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3*f - 6. Let v(y) = -4*y + 7. Let t(d) = 3*s(d) + 2*v(d). What is t(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2524, 2480, 2436, 2392, 2348?\nAnswer: 2304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 117 + 89. Let h(r) = -r**2 + 13*r - 6. Let k be h(o). Calculate the greatest common factor of k and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, k: 2, p: 2}. Give prob of picking 1 k and 2 p.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 275, 949, 2269, 4451, 7711, 12265, 18329?\nAnswer: 26119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2542)\/(-18) + 5 + 141\/(-27). Are 141 and t unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*-661.8\nAnswer: -661.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -6)\/35 - (-1)\/(-56).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6978 divided by 6?\nAnswer: 1163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of -p**4\/2 - 5*p. Let s(a) = 0*a**2 + 3*a**2 - 1 - 4 - 4*a**2. Let y(w) = w**2 + 6. Let o(b) = -6*s(b) - 5*y(b). Give o(i(r)).\nAnswer: 36*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (138\/(-30) + 1)\/((-1)\/40) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(68) + 2*sqrt(68)) - 2*sqrt(68)*-2)\/((sqrt(100) - (sqrt(100) + 5*2*sqrt(100) - sqrt(100))) + sqrt(100)).\nAnswer: -sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**1)\/(t*t\/(t*t*t**10*t))*(t*t\/(((t\/(t\/(t*t\/t**(-1\/48)*t)))\/t)\/t)*t)\/(t**(-22)\/t))**(-47) assuming t is positive.\nAnswer: t**(-85681\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/731853 and -21\/2032925?\nAnswer: 18296325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 11:52 AM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - -76)*6\/8. Let s be ((-6)\/(-18))\/(1\/b). What is the highest common factor of 171 and s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + n**2. Let s(g) be the second derivative of 7*g**5\/20 + 5*g**4\/12 + g**3 + 7*g. Let p(b) = 4*j(b) + s(b). Solve p(c) = 0 for c.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c. Suppose -62 + 2 = -6*y. Let n(a) = -y*a + 3235 - 3235. What is u(n(k))?\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 10:58 PM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 23, -14, -22, -5 in decreasing order.\nAnswer: 23, 1, -2, -5, -14, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 46512652 - -40?\nAnswer: 46513022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u\/(u\/(u\/(u*u**(-9))))*u)\/u*u**(-5)*(u\/u**11)\/u**3)**(2\/49) assuming u is positive.\nAnswer: u**(-16\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3863, -584, -6.\nAnswer: -3863, -584, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/3)\/c*c**(4\/9)*(c*c**(-1)*c)**(-3\/7))\/(((c*c**(1\/2))\/c)**24)**12 assuming c is positive.\nAnswer: c**(-9176\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of 7\/48*q**4 + 1\/2*q**3 + 5*q + 0 - 1\/2*q**2. Factor u(m).\nAnswer: (m + 2)*(7*m - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3906.\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 3*n - 2. Suppose 5*z + 5*c - 5 = 0, -4*c - c - 10 = 0. Put z, -1, n in decreasing order.\nAnswer: z, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/559089 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, x: 10, a: 2, r: 1, z: 1}. Give prob of sequence jazr.\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n + 2 - 2 + (n + n - 4*n)*(23 + 2 + 12))*(16 - 9 + 24) in the form c*n + f and give c.\nAnswer: -2325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -10*t + 20. Let i be u(9). Let o = i + 72. What is the tens digit of 6292\/117 + o\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 318, 89\/2, 0.1, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29.2078 - -0.17.\nAnswer: -29.0378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -3 + sqrt(252) + 1 + 5 + 2)**2.\nAnswer: 36*sqrt(7) + 261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 288 - 195. Let o(i) = -i**3 - 4*i + g*i**2 - i**3 - 98*i**2. Determine o(-3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.049 - -0.048938. What is l rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20\/15*(-3)\/(-2). Suppose -24 + 8 = -4*n, -3*n + 22 = d*a. Solve -a*w + 8 = 2*x, w = -4*x + 2*w - 6 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 21\/9 + (-4)\/(-6). Suppose -19 = -u*t - 4. Let h be ((-96)\/(-9))\/(t\/(-52500)). What is h rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 7:18 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {x: 4, t: 7, h: 6}.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(3\/2)\/d)\/(d\/((d\/d**(3\/2))\/d))*d**(-5)\/(d**(-5)\/d*d*d) assuming d is positive.\nAnswer: d**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = 5*s + 5, c + 279*s - 282*s + 13 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11000001 (base 2) to base 15.\nAnswer: cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 188645, 377302, 565959?\nAnswer: 754616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.03 and -426?\nAnswer: 425.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 135*n + 637. What are the prime factors of p(18)?\nAnswer: 3067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bd when two letters picked without replacement from bdrbvrprrrtrpr.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 6*i**2 + 7*i + 7. Let u be r(-5). Let l = 29 - u. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121230*c**3 + 213 + 203 + 217 - 633.\nAnswer: -121230*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-40))\/((11\/(-308))\/(6\/(-21)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 19, 1\/3, -12\/4909, -2\/9?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 PM and 10:00 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/29847532 and -145\/313086?\nAnswer: 89542596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + l + 1 = 0, 3*m + 2 = -2*l + 3. What is the highest common divisor of 99 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -203.1 + 286.4. Let y = -83 + d. What is the third biggest value in -3\/8, -24, y, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u - 4. Let k be m(-6). Suppose 3*g - p + 15 = 0, -5*g - 3 = k*p + 11. What is the common denominator of g\/12 + (-370)\/24 and -5\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12709174 divided by -4\nAnswer: -6354587\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 11 = -0*g - c, -c = -3*g + 23. Suppose -4*o - 6 = -54. Let x(t) = 6*t + 9*t - o*t - 6. What is x(g)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x + 10. Let c be k(5). Suppose -4*o + s = 10, -5*o - 12 = -c*s + 4*s. Sort 4, 3\/2, o.\nAnswer: o, 3\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5320 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 33*m + 385. Let d be b(-11). Let u be (-54 - -48) + 128\/d. Let f = -0.4 + 0. What is the nearest to -1.5 in u, 2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - -6 - 46) + (5 - (27 + -24))\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 21 = 79. Let p = 33 - 18. Calculate the remainder when d is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7732\/35 + 441\/2. Let o = -1\/70 - s. Which is the smallest value? (a) o (b) 2\/9 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 262 divide 2738718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19500*d**6 + d**5 + 5*d**2 + 76*d + 3?\nAnswer: -2340000*d**3 + 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of -7*q**4\/12 + 14*q. Let l(o) = -4*o**2. Determine l(r(u)).\nAnswer: -196*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.77 + 0.7. Let y = -34.93 + s. Let x = y - -34.7. Which is the second biggest value? (a) -3.7 (b) x (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206077944?\nAnswer: 2, 3, 17, 29, 17417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 5*i = -941, 5*k - 753 = -2*i + 847. What is the highest common factor of 42 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6297117077.\nAnswer: 23, 103, 115571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.35*25.\nAnswer: -8.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/6)\/((-21)\/(-9)). Let a = -63 + 821\/13. What is the second biggest value in -2\/3, u, a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15)\/6 + (-3)\/(-2). Let x be (8\/16)\/(t\/(-8)). Solve -3*s + x = -5*l, 12 = -4*s - l - l for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196 + 1117 = 3*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2439246 by 11841.\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - 5*m**2 + 5. Let c be u(-2). Let t(y) = 5*y - 18. Let d be t(c). Let w = d + 58. Let i(a) = -a + 6. Give i(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 6927*c - 3197*c**2 - 3557*c**2 - 6928*c - 502*c**2)*(5*c - 3*c - c).\nAnswer: -7256*c**3 - c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -687 - -689.7. What is the third smallest value in l, -1\/5, -1, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3212 - 7283907\nAnswer: -7280695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(3\/29))**(1\/7)\/((n\/(n**(25\/4)\/n*n))\/(n*n**(1\/21)*n)) assuming n is positive.\nAnswer: n**(17813\/2436)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 9*b**3 - 2*b**2 - 3*b + 7. Let d be w(2). Suppose -5*o = -d + 5. Suppose o*q + 636 = 18*q. List the prime factors of q.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.9 - -0.4. Let a = c - -2. What is the smallest value in -5, a, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 799241 to the power of 1\/3, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132396 is divided by 386.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38 + 27. Which is the third smallest value? (a) 5 (b) k (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.442 - 0.412. Sort k, -5, 4, -36, 2 in descending order.\nAnswer: 4, 2, k, -5, -36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 164 - 103. What is the remainder when 243 is divided by g?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119797901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -130 times 0.01\nAnswer: -1.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ruirrruqrrirrupq. What is prob of sequence qi?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 4 + 4 = 4*d, -15 = d - 3*s. Let z be (-2)\/(-5)*-256 - -3. Let n = 99 + z. Sort d, -4, n.\nAnswer: -4, d, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 896019*u - 896019*u + 15*u**2 - 12*u**3 to j*u**3 + y + n*u + r*u**2 and give r.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -2, 571 in descending order.\nAnswer: 571, 18, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 170 and 391?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 471 and 1372263?\nAnswer: 215445291","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + (30 - 27) + -23?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 15 = -3*h, -h - k = h + 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.031221 to 4 decimal places.\nAnswer: 0.0312","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8670 - 8661.8. What is the smallest value in s, -0.2, 0, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**(-1))**(3\/16)\/(x**(6\/5))**(30\/13) assuming x is positive.\nAnswer: x**(-537\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 722436 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 614639020 by 122927804.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1503653687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 8) to base 14.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -10*r + 4. Give h(5).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eleven eighths of a kilogram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -q + 3*y, 19 = 5*q - 548*y + 545*y for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 k when two letters picked without replacement from {a: 1, h: 16, k: 1}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(272) + 2 + -4)*2)**2 + -2).\nAnswer: -5510 + 320*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 1, -q = -4*r - 3*q + 10. Is -92 not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1224830 and 13473130?\nAnswer: 13473130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -982*a. Let d(l) = 4*l. Give b(d(i)).\nAnswer: -3928*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**4 + 275*x**3 + 21215*x**2 + 345565*x + 1585584 = 0.\nAnswer: -143, -112, -11, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -8*o**2 - 18*o - 7. Calculate p(-3).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -3*p - c, -4*c + 34 = 3*p - 5*p. Let n(v) = -3*v**3 - v**2 - v - 1. Let i be n(-2). Let k = i + p. Calculate the highest common divisor of 3 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2931573?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(208) + -3 + (1*sqrt(208) - sqrt(208))) + ((sqrt(832) - (sqrt(832) + -2)) + -4)*-2)**2.\nAnswer: -312*sqrt(13) + 2041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 17*u**2 - 7334*u - 82735. What is d(-11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-7))\/(26\/91)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 905046, 1810091, 2715136?\nAnswer: 3620181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -2*s + 296, -154 = j + 3*s - s. Let i = j - -211. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -13. Let y = g - 11. Let k = -5.3 - y. What is the third smallest value in 2\/11, k, -2\/3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -199439 divided by -199439\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 7 + 3)*(1 + 5*f**4 - f**4 + 0) + 10*f**3 - 180*f**4 + 9*f**3 + 168*f**4 to h*f**2 + i + m*f**4 + l*f + b*f**3 and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + d - 121 + 141 = 0, 0 = -5*s - d + 20 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*f - 168271 - 89*f + 44*f + 168271.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50 and 2500?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((-2 - 4 - -2) + 5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -13*o**2 - 2*o + 2. Let d(j) = -30*j**2 - 5*j + 5. Let a(t) = -2*d(t) + 5*u(t). Suppose -5*x = 2*v + 17, 5*v + 2 = 3*x + 6. Give a(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -6. Let h(b) = -2*b**3 - 9*b**2 + 15*b - 8. Let p(w) = -3*w**3 - 18*w**2 + 29*w - 16. Let r(u) = -5*h(u) + 3*p(u). List the prime factors of r(l).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 148*o - 1305. Calculate the remainder when 156 is divided by u(9).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 5 = 5*d. Solve 0 = 4*i - 7*i - 3*h - 18, -d*h + 3 = -i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222312 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 811772115?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 6. Suppose -2*n - a + 9 + 2 = 0, 5*n - 5*a - r = 0. Let h = 9 - n. Solve -4 = h*m - 19 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 5:31 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19\/12 - -49\/24. What is the common denominator of -31\/21 and h?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -13. Solve -2*i + m = -7*i + r, -4*i + 5*m = -17 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a meter in millimeters?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -f**7\/630 - f**6\/36 - 11*f**5\/60 - 5*f**4\/9 - 8*f**3\/9 - 13*f**2. Factor s(m).\nAnswer: -(m + 1)**2*(m + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -71.4 + 75. Let t = 5.5 - a. What is t rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of s**4\/4 - 2*s**3\/3 - 10*s**2 - 11*s - 7. Calculate d(-4).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1345 - 1345. What is the nearest to 6 in 3\/2, -1\/3, j, -5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 6*i**2 - 9*i + 15. Calculate m(8).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63) - (-2*sqrt(252) + sqrt(252))\/sqrt(4))\/(sqrt(72)\/(sqrt(8)*-2)) + (-3 + sqrt(175) + 1)*1)**2.\nAnswer: -4*sqrt(7) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 328*r = 951*r - 24297 for r.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 3*m + 15, -m + 10 = -2*y + 4*y. Let g(o) = 3*o**2 + 29*o - 44. Let h be g(-11). Solve y*i - i = h for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 3*x + 16 = 8*j, 0 = 4*j + 3*x - 32. Let d = -23 - -59. Suppose d = 4*n - 4. What is the lowest common multiple of j and n?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23925 is divided by 1592?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 0.9, -211630, 9\/5 in ascending order.\nAnswer: -211630, 2\/11, 0.9, 9\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14166*k + 7116*k + 7052*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 16*u**3 + 54*u**2 - 128*u + 79. Suppose -230 = -8*z - 214. Let r(q) = 5*q**3 + 18*q**2 - 43*q + 26. Let t(y) = z*i(y) - 7*r(y). Factor t(p).\nAnswer: -3*(p - 1)**2*(p + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) -1.3 (c) 25 (d) -211.54 (e) 0.5 (f) -4 (g) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, 2\/15, -265, 4.8 in increasing order.\nAnswer: -265, -0.02, 2\/15, 4.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 22983.\nAnswer: 114915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -23*t**3 - 2*t**2 - 19*t - 5. Is b(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of -h**6\/20 - h**4\/8 + 8*h**2. Let a(y) = -y**3 - y. Let v = -409 + 408. Give v*p(x) + 3*a(x).\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(300)*1)**2.\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 266445995 and 30.\nAnswer: 1598675970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, q: 1, h: 1, e: 1, c: 5, o: 4}. What is prob of sequence eq?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -31240\/9 at most -3472?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/41)*x\/(((x*x*(x**(-21)\/x)\/x)\/x*x)\/x))**45 assuming x is positive.\nAnswer: x**(42345\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 3*p - 21 = 0, 1 = -120*z + 119*z - p for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/(-2) + (19 - -36). What is the highest common divisor of 210 and g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 385 = 4*w - 263. Is w a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - 2313?\nAnswer: -2310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 f when three letters picked without replacement from ffrfrrfrrf.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of g**2\/2 - 10354. Let u(v) = 2*v + 5. Let l(j) = 5*j + 9. Let q(r) = 3*l(r) - 5*u(r). What is q(p(h))?\nAnswer: 5*h + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**26\/b**(-11))**(-4) assuming b is positive.\nAnswer: b**(-148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 47\/4 of a millimeter?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*c**2 + 35 - 29*c**2 - 22 + (-1 + c + 1)*(0 + c + 0).\nAnswer: -32*c**2 + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/231 and 20\/27.\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.07 in 0.5, 1\/3, -2\/17, -3\/5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 12) to base 5.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-3\/5))**(-14\/5)\/(r\/r**11*(r*r**(-2\/25))\/r))**(-34) assuming r is positive.\nAnswer: r**(-9996\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -264 divided by -2.\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5702\/2851)\/((-2)\/102*2)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -115538.6 to the nearest one thousand.\nAnswer: -116000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -12822, -12825, -12828, -12831?\n\"Answer: -3*u - 12819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f + 34. Let d be r(30). Suppose -280 - 609 = -2*u - 3*m, d*m = 12. Suppose 2*v = 4*v - u. Is 23 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 365455184 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 441\/136 + -25\/8. Let r = 9923\/70 - 993\/7. Which is the third biggest value? (a) 2\/19 (b) s (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 93574.3 years?\nAnswer: 1122891.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -382 = -v - 397 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 293*l**6 + 73*l**2 wrt l?\nAnswer: 35160*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 123040 (base 5) to base 13\nAnswer: 222c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4487 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + -19 + 30 + (-3 - 2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1229*y - 415*y = -427*y - 62067 for y.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 74*m**2 - 326*m + 5. Calculate n(4).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u - u + 4*u**3 - 2*u**4 + 0*u**4 - 2*u**2 to the form g + k*u**4 + c*u + r*u**3 + s*u**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12893353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h. Let t(u) = -284*u. What is a(t(l))?\nAnswer: 284*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v**3 + 2*v**2 + 4*v - 6. Calculate c(3).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-7020)\/(-52)*(-9)\/(-15) and 180.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3 + ((sqrt(18)\/sqrt(3)*5 + sqrt(6))\/((sqrt(36)*-1)\/sqrt(12)))**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.4 + 0.1. Which is the biggest value? (a) 0.5 (b) -2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 10:01 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(-42) - (-3)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3914081533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -164135057 divided by 3.\nAnswer: -164135057\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1351758148?\nAnswer: 2, 13, 37, 43, 16339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.32 rounded to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -380\/3*m**2 - 8\/3*m**3 + 0 + 4\/3*m**4 - 400*m = 0. What is m?\nAnswer: -5, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2*n - 1)*(53*n + 12*n - 27*n) + n**2 - 3 + 3 - 4*n - 2*n**2 + 4*n in the form w*n**2 + k + s*n and give w.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14.06 - 0.06. Let g = -0.04 - 17.96. Let t = g + z. Sort 2, -1\/5, t in decreasing order.\nAnswer: 2, -1\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**3\/7 + 24748*i**2\/7 - 594528*i\/7 = 0. Calculate i.\nAnswer: -24772, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 6713 - 3357 - 3356 - 12073*g + 970*g in the form y + w*g and give w.\nAnswer: -11103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -5 + 3*y + 5. Let o(s) be the second derivative of -s**4\/6 + 13*s. Calculate f(o(m)).\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**3 - 20*v**2 - 39*v - 109. Let j be r(12). Put 3, -5, 5, -15, j in descending order.\nAnswer: 5, 3, j, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**2 + 2284*g - 1173*g - 2*g**4 - 1 - 1110*g + 140*g**3 to the form r*g**2 + n*g + q + z*g**4 + l*g**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -564.319 - -550.9. Let m = a + 10.35. Let q = 0.069 + m. Sort -5\/2, -0.2, q, -2 in decreasing order.\nAnswer: -0.2, -2, -5\/2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4239555 plus -1642?\nAnswer: -1642.4239555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + (-1 + 6 - 6) - (5 - 1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 78492 in 4\/5, -0.61, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(0 - -4) - 1562. Let v = f + 4744\/3. Find the common denominator of v and -17.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4*14\/16*(15 + -11). Let y(t) = t + 0*t + 22 + 3*t + u*t. List the prime factors of y(8).\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -115, -213, -311, -409, -507?\n\"Answer: -98*f - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -t + 23, -7*t - 3*g = -2*t + 25. What is the nearest to t in -1, -3\/8, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-75)\/(-1 - (-40)\/20) + 12?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -5*i. Let s(y) = -8*y**2 - 53. What is s(b(h))?\nAnswer: -200*h**2 - 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.1, -1\/2, 3\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1460 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: What is 5 divided by 167092?\nAnswer: 5\/167092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**3 + 10*f**2 - 4*f - 10. Let h be i(-5). Suppose -7*t = -h*t + 63. Let m(p) = p + 4. Let u(d) = 0*d + 5*d + 21 + d. Calculate t*m(w) - 4*u(w).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 18.94?\nAnswer: -7.576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of f**4\/24 + f**2. Let a(x) = -2. Let u = -5 - -6. What is u*r(v) - a(v)?\nAnswer: v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3746?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fli when three letters picked without replacement from {l: 2, f: 2, i: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/3 (b) 0 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11424 and 5376?\nAnswer: 91392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 - 124 = -17*z for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - 24*o - 152. Let z be r(-13). Let u(w) = -w**3 + 8*w**2 + 25*w - 22. Does 53 divide u(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-690)\/(-50) - (-8)\/(-10). Suppose y*k = 5*k + 584. What is the remainder when k is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -2\/61, 3, -24\/71.\nAnswer: -24\/71, -2\/61, 1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*982\/(-8)*10. Let r = w - 1025. What is r rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1356?\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + 85?\nAnswer: 8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -646, -647, -648, -649, -650, -651?\nAnswer: -652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-26)\/10 - (-5 + 2). Let h = 5.92 - 6. Let i = -1.08 - h. Which is the closest to -1? (a) i (b) 4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**12*u\/(((u*u**(-26))\/u)\/u))\/(u**(-15\/7)\/u**6) assuming u is positive.\nAnswer: u**(337\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 74*m**3 + 571?\nAnswer: 222*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 - -13. Which is the closest to 0? (a) 1 (b) m (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2958*l**2 - 2*l**4 + 54 + 6*l**4 + 2960*l**2 as a*l**4 + c*l + j + f*l**2 + m*l**3 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 395, 407, 467, 605, 851?\nAnswer: 1235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 66501?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17764 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 96\/(-10)*((-48)\/9*-3 + 495 + -516)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 177 by -1.\nAnswer: -177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(1\/2)*q**(-4\/5)*q**(-3)*q*q**(1\/2)*q)\/(q**4\/(q\/q**(-2\/5))*q**4*q**(4\/3)) assuming q is positive.\nAnswer: q**(-116\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.8, 0, 7\/4 in descending order.\nAnswer: 7\/4, 0, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 5*i + 0*i)*(1 + 2 + 1)*(-3 - 2 + 3).\nAnswer: -40*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {f: 1, a: 11, s: 3}?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20678 is divided by 3446.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/(665\/(-525)) - (6\/(-4))\/(57\/418)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37 and 151663?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 91198 in decreasing order.\nAnswer: 91198, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lzhxrpx. Give prob of sequence xrl.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 1127, 2, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/7*(-35 - 0). Let k be (8\/10)\/(4\/d). What is the common denominator of 5\/24 and 2\/k - ((-267)\/(-6) - 2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 9:49 PM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -0.52.\nAnswer: -0.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 + 0.8. Let q = 92 - 95. Let a = q + z. What is the closest to 2\/7 in a, 2\/17, -2\/5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**3 + 2*l**2 - l. Let g be d(1). Let k = 4 - g. Suppose 0 = r - k - 0. Does 2\/15 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 94125 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*n + 92 = 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*f - 495 = 1177. What are the prime factors of 11\/f + (-3897)\/(-12)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -631.5 - -0.4?\nAnswer: -631.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4415*n**6*s**2 + 16*n**4*s**2 - 2*n**2*s**2 - n**2*s + 3*n + 1533*s**2 wrt n.\nAnswer: -529800*n**3*s**2 + 384*n*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1265510, 1265509, 1265506, 1265501?\n\"Answer: -a**2 + 2*a + 1265509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2550 and 2652?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46 - -93. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 10:02 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 11*a**2 - 7*a**2 - 28 + 56.\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -67*z**2 + 2*z + 3. Let x(u) = 270*u**2 - 9*u - 14. Calculate 9*a(i) + 2*x(i).\nAnswer: -63*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*c + 55*c + 244 = 16*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, f: 10, m: 1, w: 5, u: 2, s: 1}. Give prob of picking 1 s and 1 l.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000203075 to six decimal places.\nAnswer: -0.000203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1808\/2285 - -4\/457. Which is the nearest to 0? (a) -2\/19 (b) t (c) 4 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i + 7. What is the lowest common multiple of 1 and r(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.5 - 3. Which is the closest to 1? (a) -3\/8 (b) s (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xbffffxbxuwxbf. Give prob of picking 3 x and 1 w.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 + 18*v + 73. Let r be t(21). Solve 5*w = r - 25 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6124*f**3 + 22910*f**3 + 23117*f**3 - 7168*f**3.\nAnswer: 32735*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -279 divided by 5\nAnswer: -279\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 63991 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22860559 + 45721109 - 22860550 - 8*l.\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**3 + 4*s**2 - 4*s**2)*(-s**2 + 3*s**2 - 3*s**2) - 2*s**3 + 2*s**3 + s**5 + 8*s**5 + 2*s**5 - 5*s**5.\nAnswer: 7*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -144*r + 1344. Let p be u(9). Solve -14*v = -2*v - p for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*d + 338 = 279 + 339 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 at least 146\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -50 - -53. Determine c, given that -2\/9*c + 1\/9*c**4 - 1\/3*c**2 + 0*c**d + 0 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -2\/67, 4, -5\/6, -0.3.\nAnswer: -4, -5\/6, -0.3, -2\/67, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + -5 + sqrt(171) + 2 + (sqrt(171) + -2)*-5 + -4)*2*6 + 2)**2.\nAnswer: -8208*sqrt(19) + 223060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/643500 and 127\/19500?\nAnswer: 643500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 71392 and 2244064.\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -4 (c) 7019 (d) 0.1 (e) 41\/5 (f) 0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 53*p - 1. Calculate t(-1).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m**2 - 3*m - 243. Let d(q) = 2*q**2 + 2*q + 1. Give -d(u) - t(u).\nAnswer: u**2 + u + 242","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -4049*u - 635682. Calculate q(-157).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 348172566?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 18 - (-4 - (-4 - -1)) - 37.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 greater than or equal to 82?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 6*h**2. Let m(r) = 75*r**2. Determine t(m(d)).\nAnswer: 33750*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - (-4 - -2)) + 1. Let i = 4 - p. Suppose 4*d + 4*u = 40, -2*u = d + i*d - 34. Is d a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 6:40 PM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-10))\/(19\/(33098\/(-13))).\nAnswer: -67\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1645026, -1644988, -1644926, -1644840?\n\"Answer: 12*v**2 + 2*v - 1645040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -1. Let g(t) = 3*t. Suppose 5*r - 3 = 8*r. Let p(u) = r*x(u) - g(u). Let f(b) = 10*b - 4. Calculate 2*f(v) + 7*p(v).\nAnswer: -v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.732 and 51983?\nAnswer: 51983.732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 87 - (72 + -69 + (-27 - -67)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 36, 50, 86, 156, 272?\n\"Answer: 2*f**3 - f**2 + 3*f + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4 = p. What is the least common multiple of p and 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-176)\/1320)\/((-6)\/15).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**4 + o**4 - 276*o**2 - 2*o + 274*o**2 + 5*o**4 + 0*o**4 - 3*o**4 + (3*o - 2*o + 0*o)*(o**3 + 1 - 1).\nAnswer: 5*o**4 - 2*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5\/4, 0.1, -5.\nAnswer: -5, 0.1, 5\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*d + 419 + 17460. List the prime factors of d.\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*g + 9764 - 1250. Suppose -382 = -2*x - i, -8*x - 3*i = -12*x + g. Is x a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -7*g**2 - 16 - g**3 - 7*g - 7 + 0*g**2 + 47 - 17. What is j(-6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l + 37. Let z(o) = 10*o. Determine z(i(b)).\nAnswer: -20*b + 370","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 349c7b3?\nAnswer: -349c7b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 84 = -2*b, 4*f + 5*b - b - 80 = 0. Let v be f\/2 + -12 + 8. Let i be 936\/42 - 2\/v. Calculate the highest common divisor of i and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*h = 15739 - 18958 for h.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 932*j**3 - 203*j**2 + 2.\nAnswer: 5592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -5*l**2. Let w(v) be the third derivative of 2*v**5\/15 - 13*v**3\/3 + 10*v**2. Let q(p) be the first derivative of w(p). Give q(r(o)).\nAnswer: -80*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 2054097.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1908168 and 1032?\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -5*z - 22. Let x = 3 - z. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + (0\/(-2) - 1). Let x be (-1 - -4)*(-8)\/6. Let u(f) = -f**2 - 6*f - 3. Let v be u(x). Solve q = c*i + 9, v*q - 1 = -0*i - i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 6. Let r = -1 - m. Suppose -2*x + r = -y, 0*y - 3*y = -3*x - 3. Solve 0 = 3*i + y for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2628978529 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2279 is divided by 175?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*m + 2*m - 79*m**2 + 12*m - 21*m.\nAnswer: -79*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 1. Let i(s) = 4*s**2 - 5. Let n(u) = i(u) + 4*r(u). Suppose 5*c - 3*g + 5 = 0, c = -2*g - 1 - 0. Let x = c + 2. What is n(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.93272 times -1305\nAnswer: -1217.1996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 20621?\nAnswer: 20621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.598331 nanoseconds in seconds?\nAnswer: 0.000000008598331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 782.04683 - -28.9156.\nAnswer: 810.96243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 448589?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 4*t**3 - 296*t**2 + 1212*t - 352. Determine p(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -9.2, -1\/5, 4?\nAnswer: -9.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13258*b**2 + 25540*b**2 + 10334*b**2.\nAnswer: 49132*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -5 + 4 + 0 + 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 l when two letters picked without replacement from lelfwwelffelflellll?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1626 - 1624. Which is the nearest to -0.03? (a) 3 (b) 5 (c) t (d) -1\/48\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 681, 1062, 1659, 2472, 3501, 4746?\nAnswer: 6207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*k + 15 = 2*v + 17*k, -3*k + 216 = 23*v for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -3484*l - 824. Let p be o(-1). What is the highest common divisor of 112 and p?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.8386 nanometers in millimeters?\nAnswer: 0.0000208386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 227 = -229 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 4*r**2 + 4. Let h be u(4). Suppose -4*v - 5*f - h = 2, f - 2 = -4*v. Calculate the remainder when 44 is divided by -5*v*(-1 + -2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 3*l**2 + 8. Let r be k(-4). Let o be (-22)\/r - 6\/(-24). Put -0.5, o, 3\/5 in ascending order.\nAnswer: o, -0.5, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 10:09 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 273146960 to the nearest integer?\nAnswer: 649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**37\/(d*d**(-13)\/d) assuming d is positive.\nAnswer: d**50","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - 242.\nAnswer: -239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4278\/248)\/((-1)\/(64\/(-6))). Let b(x) = n - 188 + 2*x**2 - 3*x**2 - 9*x. Calculate b(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b**3 + 44*b**2 - b - 20. Let x(u) = -u**3 - 22*u**2 + 10. Let o(z) = -2*j(z) - 5*x(z). List the prime factors of o(22).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ao when two letters picked without replacement from {o: 2, n: 6, c: 2, a: 3}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7748, 61853, 208680, 494591, 965948, 1669113, 2650448?\n\"Answer: 7727*t**3 - t**2 + 19*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 81.7 and -0.1.\nAnswer: -8.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0 (b) -0.1 (c) 0.05 (d) 4 (e) -469\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2760 and 1656.\nAnswer: 8280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 180*z**2 + 716*z - 1. What is r(-4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15\/6 - (-2)\/4. Suppose -3*n = -3 - t. Let z(k) = 2*k**2 - 3*k**2 + 9*k**n. What is z(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/59, 0.02, -13.9 in descending order.\nAnswer: 0.02, -3\/59, -13.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/12)\/(2\/(-8)). What is the nearest to -1 in 3, p, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3418853980?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -74 - -74.5. What is the fourth biggest value in -5, -1\/4, -4\/3, x?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 4, 127, -5, 3 in decreasing order.\nAnswer: 127, 16, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {g: 6, u: 1, p: 4}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 4*i**2 - i - 3. Determine y(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((27*d + 36*d - 12*d)*(9 - 5*d - 9) - 2*d**2 + 3*d**2 - 2*d**2)*(d - 4*d + d).\nAnswer: 512*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6181518 is divided by 277.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 - 159 = 20*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1355920\/51*3\/2 - (-2 - 2) a multiple of 226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 25*n**2 + 619*n + 1512. What is s(41)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112221100122011 (base 3) to base 4.\nAnswer: 132102103021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7\/5 + 4\/(-10). Which is the biggest value? (a) 3 (b) d (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-2 + -12 - (-12 - -6 - -12)) - -2.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -9567, -75868, -255837, -606312, -1184131, -2046132, -3249153?\n\"Answer: -9473*h**3 + 4*h**2 - 2*h - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1361\/7 + 195. What is the smallest value in 0.8, h, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 16*c**2 + 453*c + 368. What is h(31)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) -7 (c) -0.1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3074038?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 78800?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -52239\/20 (b) 2 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 119190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a + 1. Let i be 84\/(-140) + (-1 - (-13)\/5). Let p(w) = 11*w + 4. Calculate i*p(b) - 4*t(b).\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1530589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4890 (base 12) in base 6?\nAnswer: -101500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337886520 is divided by 117.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyhythtyzh. What is prob of sequence yt?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248*u = -77*u + 323*u + 5086 + 9734 for u.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1416 and 114.\nAnswer: 26904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3676 is divided by 915?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5395849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + n = -4*u + 52, -4*u = 2*n - 40. Let d be u - -1*(-1 + 5). Calculate the remainder when d + -4*(-3)\/(-6) + -1 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/93429 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 21386900 rounded to the nearest 10000?\nAnswer: 21390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a millennium in centuries?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27105*t**3*x - t**2*x + 2*t**2 + 2826*x wrt t.\nAnswer: 162630*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 3:23 PM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(108) - ((4*1*sqrt(108) - sqrt(108)) + sqrt(108))) + -1 + sqrt(108)*-2)**2 + 4.\nAnswer: 180*sqrt(3) + 8107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 32\/5 of a meter?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lhrrrfd. Give prob of picking 1 l and 1 r.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w + 7. Let a be h(5). Suppose -1 = -u + a*u. Is 37\/2 - u\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 3*p - 21, -3*b + 6 = -p - 23. Calculate the highest common factor of b and 171.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -260348, 0.1, -2.\nAnswer: -260348, -2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -623 + 413. Let j = 4 - 8. Let g be (32\/24)\/(j\/c). Calculate the highest common divisor of 10 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1280862.999902 - 1280963. Let i = 99.89 - -0.11. Let n = i + g. What is n rounded to five decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y + 1. Let c(z) = 10 + 5*z + 4*z + 5*z + 0*z. What is -40*b(l) + 4*c(l)?\nAnswer: 16*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 1461*f**4 - 12*f**3 + 6*f**2 - 3*f - 104. Let i(t) = -1462*t**4 + 8*t**3 - 4*t**2 + 2*t + 103. Let d(p) = -2*a(p) - 3*i(p). Differentiate d(c) wrt c.\nAnswer: 5856*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 - 562?\nAnswer: -536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1061, 1080, 1111, 1160, 1233, 1336, 1475, 1656?\nAnswer: 1885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 7:38 AM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19869 is divided by 54.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13.2 + -1.8. Let g = 16 + w. Which is the third smallest value? (a) g (b) -0.05 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*j - 135*j - 30 - 6 = 0. Sort -2, 5, j, -124 in descending order.\nAnswer: 5, j, -2, -124","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2496, 0.17, 45?\nAnswer: 1\/2496","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 24 + -2 + -14?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*-4 + 501\/63 + 33\/693. Solve 0 = 3*t - l - d, -10*t + 15*t - 5*l = -10 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + (-3 + 10)*12. Suppose 81 = v + 2*n, 4*v + 5*n = 3*v + p. Calculate the highest common divisor of v and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 4*g + 0 = -5, -769*s + g - 45 = -351*s - 411*s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kuuu. What is prob of picking 2 u and 1 k?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 91 = -2*w. Let h(q) = -q**3 - 11*q**2 + 17*q - 17. List the prime factors of h(w).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -120993, -483987, -1088979, -1935969, -3024957, -4355943?\nAnswer: -5928927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000187005855 to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-9) - 136\/(-36). Let x(y) = y**2 + 7*y - 14. Let a be x(-5). Let j be a\/(-10) - (-21)\/35. Solve 5*q = j*q + b for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9126 not equal to -9125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -25*y**6\/6 + 323*y**5 + 11075*y**4\/4 + 20045*y**3\/3 + 6725*y**2 + 2840*y + 6894. Let q(u) = 0. What is u?\nAnswer: -4, -1, -2\/5, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5 + (sqrt(192))**2).\nAnswer: -394","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.702 - -1.5. Round w to two dps.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - 89*d - 115320. Determine x(387).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -101900\/119 - -5996\/7. Let n = 2\/119 + v. Let p = 22 - 16. What is the biggest value in n, 0.2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -133*y**2 - 9*y + 20. Let p(s) = -134*s**2 - 7*s + 16. Give 5*p(i) - 4*u(i).\nAnswer: -138*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3593325.\nAnswer: 3, 5, 47911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/20 and 37\/5278.\nAnswer: 52780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zuzzzzzzikiizdzdzdd. What is prob of picking 1 d and 1 z?\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(4\/3)*b\/(b**(-5\/4)*b)*b**(-24)*b**(-3\/8) assuming b is positive.\nAnswer: b**(-563\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -2 - 1 - (-19 - -23).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-3 - (-69)\/24). Calculate the greatest common divisor of w and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 3:51 PM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-3*(0 + sqrt(192) + -1*sqrt(192)*3 - -5*(4*(sqrt(192) + (sqrt(192) + sqrt(192)*-1)**2) + sqrt(192))).\nAnswer: -2208*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**3 - 2*o**3 + 2*o**3)*(4*o - 4*o + 4*o)*(-3 - 3 + 5).\nAnswer: 8*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13695 - 8547 = 39*u for u.\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 589, -2627, -2.\nAnswer: -2627, -2, 589","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000869904434 rounded to five dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (105\/(-60))\/((-56)\/192).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 5, -2.76?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20051 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2741640 divided by 15.\nAnswer: -182776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 94463897 to the nearest integer?\nAnswer: 9719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - 7 - -1 - (0 - -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 86 = 78. What is the third derivative of 10*o - 8*o**2 + 19*o**k - o**6 - 5*o**4 - 11*o wrt o?\nAnswer: -120*o**3 + 336*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 3*z - 66, z = -3*z - 8. Let r be (-3)\/j - 22\/8. Let n = 463 + -453. Put r, 2\/13, n in decreasing order.\nAnswer: n, 2\/13, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66393?\nAnswer: 3, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 1:16 AM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 571776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**2 - 20*d - 92. List the prime factors of k(19).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 6:45 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 272*o + 1. Let h(p) = 1905*p + 6. Calculate 2*h(m) - 15*n(m).\nAnswer: -270*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s + 56 + 8*s - 18*s + 8*s + 4*s.\nAnswer: 2*s + 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -0*x - 40. Let i = -5 - x. Let f = -167\/424 + 1\/53. Which is the smallest value? (a) 2 (b) f (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 5*z - 20 = 0, -139*z - 60 = 14*y - 141*z for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2722 - 2698. Solve -3*a + 21 = -n - 8*a, -p = -n + 4*a for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) -628 (c) -2 (d) -15 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1535115 (base 6) to base 4\nAnswer: -112012313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8944250.\nAnswer: 2, 5, 7, 19, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -8*j - 75. Let x be 4 + j\/6*-2. Suppose x*d - 6*d - 117 = 0. List the prime factors of d.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -19131, -74780, -167521, -297348, -464255, -668236, -909285?\n\"Answer: m**3 - 18552*m**2 - 580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/((-108)\/(-18))*(-2)\/4. Factor 4\/9*a + 2*a**2 + f + 10\/9*a**4 + 8\/3*a**3.\nAnswer: 2*a*(a + 1)**2*(5*a + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 148 + -115. Solve 12*p = p - k for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of d**3\/3 - 21*d**2\/2 + 35*d - 71. Let t be b(25). What is the greatest common divisor of t and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000149146 rounded to 7 decimal places?\nAnswer: 0.0000149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*h - 537 + 587 = g, 0 = 5*g + 4*h - 68 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 59*p**2 - 1490*p - 145. What is d(78)?\nAnswer: -769","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -186888 divided by -1198?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 66693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 5 - -8 - -2 - 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 99449 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 131549 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j**2 + 6587*j + 3. Let p(g) = -g**2 - 2206*g - 1. Give 6*c(v) + 17*p(v).\nAnswer: v**2 + 2020*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010112 divided by -3?\nAnswer: -336704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-729)\/1755*(0 - 5) - 2\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*q - 3113 = -3245 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 (base 11) in base 15?\nAnswer: -4e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zv when two letters picked without replacement from vvvvvzxxxvvxv?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -7226 divided by -1\nAnswer: 7226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (4 - (-8 - -7))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9 - -0.19719\nAnswer: -8.80281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 19585 to the power of 1\/2, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -5*k**3 - 5*k**2 - 6*k - 4. Calculate the remainder when z(-2) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15956*y**2 + 15918*y**2 - 4*y - 2 + 3*y to the form i*y**2 + o + z*y and give i.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 2\/(-1) - -51. Suppose 2*i + d = 6*i. Let u = i + -9. Solve -u*z + 9 - 3 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of a**7\/840 + a**6\/120 - 7*a**5\/120 - a**4\/4 - 8*a**3\/3 + 4. Let d(n) be the third derivative of p(n). What is d(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11 or -296922?\nAnswer: -296922","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**2 + i**2 - 2*i**2 + (-3*i - i - i)*(-9 - 3*i + 9))*(-i + 0*i - i).\nAnswer: -34*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 376875 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 - -65. Let t = i + 58. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 2 = t, 11*t + 10 = 16*t - 5*p for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.6*75448\nAnswer: -45268.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*b + b + 3*b + b.\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -882678, -882667, -882656, -882645, -882634?\n\"Answer: 11*n - 882689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 4:31 AM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/2 - 17*o**2 + 259*o\/2 + 147.\nAnswer: (o - 21)*(o - 14)*(o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from booo. What is prob of picking 1 o and 1 b?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10304 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 8. Let i = 7.2 - 7. Sort -0.1, i, f in ascending order.\nAnswer: f, -0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(931) - sqrt(931)*-2).\nAnswer: 21*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*p - 75*p = -2*i + 69066, 0 = 2*i - p - 69051. Is i a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 - 20. Calculate the greatest common divisor of 15 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15302 (base 7) to base 11.\nAnswer: -3228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-14)*(-1 + 1 + -10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6655000 rounded to the nearest 100000?\nAnswer: 6700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*u - 54*u**2 + 5492062 - 5492062 as s + y*u**2 + t*u and give y.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*((-99522)\/(-324))\/19?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 1. Let n(d) be the first derivative of 47*d**4\/2 - d**3\/3 + d - 480. Is n(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -2*f + 4*o + 81, 114 = 2*f + 2*o. What is the greatest common divisor of f and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d, 1 t, and 1 n when four letters picked without replacement from {d: 4, e: 4, n: 3, t: 8}.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 3:20 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(10\/9)*i**(-9\/2))**11*(i\/i**(1\/4))**(2\/85)*i**0*i\/(i*i*i**(-2\/9)\/i*i*i*i) assuming i is positive.\nAnswer: i**(-22214\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -501 - -579. Calculate the remainder when 204 is divided by m.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 0)\/(-6 - -5). Suppose l = -s - s + 8. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 4*p**3 - 3*p**2 - 3*p. Let s be 3\/2*20\/(-15). Let a be (s - -4)\/(3\/(-36)*-4). Let f(n) = -n**3 + n**2 + n. Give a*f(r) + 2*q(r).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10.6 + 9. Let i = q - -1.6. Let o = -624 - -624.2. Sort -2\/15, o, i, -2 in ascending order.\nAnswer: -2, -2\/15, i, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*-4*2 + 1. Let f be (0\/3 + -1)*v. Suppose 2*l = f*l - 10. Solve -2*a - 6 = -l*i - 2*i, 0 = 3*a + i - 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of f**3\/6 - 75*f**2 + 3282. Solve b(a) = 0.\nAnswer: 0, 300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 41\/2 of a litre?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-1))**(-43))**(-26) assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 888 and 266748.\nAnswer: 19739352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 30066673 a multiple of 139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2290, -4585, -6880?\nAnswer: -9175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -h**4\/2 - 49*h**2\/2 + 709*h + 1399. Differentiate p(a) wrt a.\nAnswer: -6*a**2 - 49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((sqrt(228) - 1*sqrt(228) - sqrt(228)) + sqrt(228))*1 + (sqrt(228) - (-2*sqrt(228) + sqrt(228)))*-4)*-1)\/(6*1*sqrt(768)*-2)*-1)**2.\nAnswer: 19\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.62 + 0.5594. Let o = 259.0606 + j. Let d = -258.837 + o. Round d to 2 dps.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-3))\/(6*(-3)\/(-36))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - 19) + 37 + 82\/(-16).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4 = 2*t, 9*z + 3*t - 15 = 4*z. Let w(g) = g - z + 2*g - 2*g + 15. Let y = -6 + 1. Give w(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 216908374 and 6621.\nAnswer: 2207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jooj when four letters picked without replacement from {j: 11, o: 3}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(5\/11)*v*v)\/((v*v**(-1\/3))\/v) assuming v is positive.\nAnswer: v**(92\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 118*u - 35*u - 37*u - 45*u. Let j(m) = -2*m. Give y(j(d)).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-105)\/(-45))\/(191065\/4770)\nAnswer: 6\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 121927725 divided by -5.\nAnswer: -24385545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -173 - -169. Let v(a) = 19*a**2 - 14*a - 21. What is the units digit of v(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -4, 1893, 3, -1\/4 in descending order.\nAnswer: 1893, 3, 0.4, -1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1208206271 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 + 3?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20.12 - -20. Let d = 0.38 - p. Let x = 4 + -7. Which is the third biggest value? (a) d (b) -3\/8 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + 0*g - 9 + 5*g**2 - 2*g. Let c = -8 - -13. Is l(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of 0*s**3 - 2\/3*s**6 + 0*s + 0*s**5 + 0*s**4 + 30 - 9\/2*s**2. What is the second derivative of l(x) wrt x?\nAnswer: -80*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68954.32 kilometers to centimeters.\nAnswer: 6895432000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-4\/7)*j*j**(-2\/11)*j)\/(((j\/j**3)\/j)\/j**(2\/13)))**(4\/13))**(-33) assuming j is positive.\nAnswer: j**(-64872\/1183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -161*w - 2. Let i(k) = -139*k - 2. Give 5*i(r) - 4*u(r).\nAnswer: -51*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 143 + -122. Is r a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lklkklllkll. Give prob of picking 1 l and 2 k.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 4*o - 5*n, -2*n + 3 + 5 = 0. Which is the second biggest value? (a) o (b) -3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v**2 + 55094*v + 0*v**2 - 55102*v.\nAnswer: -5*v**2 - 8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3963 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: Let o = 19 - 16. Suppose -53 = -5*c + 4*p, -c = o*c - 2*p - 40. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -9*b - 48008 + 48008. Let r(g) = -17*g. Determine k(r(d)).\nAnswer: 153*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -11. Factor -4*g**2 + 1 + 1 + 15 - p.\nAnswer: -4*(g - 2)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17429717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14595041 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*i - 323*i = 2510 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 6:40 AM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -12 + 9*m - 14*m + 3*m. Let q be l(-5). Let w = -450\/77 + 58\/11. What is the nearest to -1 in w, 1, q?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*l**2 + 20*l**2 + 2*l**3 + 8*l**2)*(157*l - 157*l - 27*l**2).\nAnswer: -54*l**5 - 162*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10\/2491169 or 1?\nAnswer: -10\/2491169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + 11)\/((-4)\/28). Are z and -77 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jt when two letters picked without replacement from {q: 4, a: 4, t: 1, u: 1, m: 3, j: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q - 11915 + 12060 for q.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 5 = -q - 3*p, 11 = -3*q - 2*p for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 100 + -145. Let v be a\/(-18)*(-4)\/(-5). Let w(z) = z - v*z - 2*z**3 - z**3 + 17 + 2*z**3. What is w(0)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*r - r + 3*r)*(5*r**3 + 5*r**2 + 5*r**2 - 11*r**2 + (5*r**2 + 10*r**2 - 8*r**2)*(r + 0*r - 2*r)) to d*r + s + j*r**4 + f*r**3 + k*r**2 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47839*x**3 - 35*x + 47788*x**3 + 21*x + 14*x.\nAnswer: -51*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 9*u**2 - 22*u + 3. Let z be x(-7). Let n(d) = -23 + z - 3*d - 30. Let t(l) = -2*l + 5. Give 3*n(b) - 4*t(b).\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51916414.\nAnswer: 2, 11, 41, 57557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-8)\/(-12) - 292\/219.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.98, -0.4, -6\/7, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1.70074 times -1\nAnswer: -1.70074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -4*i**2 - 285*i - 2018. Give b(-7).\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j - 2. Let p be k(4). Let m = p + 19. Is 4 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 9 + 16)*(5 - 8*j**2 - 5).\nAnswer: -192*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 177 = -3*m, b - 2*b - 5*m = 27. Let h be (b\/56)\/(3\/(-16)). Differentiate -13*s**h + 15 - 19*s**2 + 19*s**2 + 2*s**4 wrt s.\nAnswer: -44*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 9:30 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 6*d**2 + 4*d - 3. Suppose s = -2*s + 6. Let a = 3 + s. Determine x(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 5:32 PM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -8470*t**2. Let d(g) = -15*g - 2. Determine d(c(f)).\nAnswer: 127050*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c + 4*c - 49 + 3*c - 3.\nAnswer: 2*c - 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.2 (b) -11 (c) 349 (d) 2\/11 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.522 + -0.522. What is the second biggest value in p, 0.3, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one halves of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 11. Which is the nearest to 0.2? (a) p (b) -3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.96 - 0.2. Let f = -916925.240134 + 916926. Let g = f - a. What is g rounded to 5 dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -0*j - 12. Solve j + 6 = 4*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v**2 + 40*v - 36. Let q(i) = i**3 - 7*i**2 - 15*i - 10. Let m be q(9). What is the remainder when l(m) is divided by 40?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -794694, -1589356, -2384016, -3178674, -3973330?\nAnswer: -4767984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -5, -0.4, 934\/3, -0.04, 48?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -7 (b) 2 (c) -1\/3 (d) -3\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i - 14. Let a be l(-8). Solve 10 = 5*p - a for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 104230\/(-1155)*(-68)\/(-8). Let w = -19 + 786. Let q = w + g. Which is the smallest value? (a) q (b) 0.2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + -10)*(-64)\/6. Suppose 0 = 4*t - 20*o + 17*o - 69, 0 = 3*o - 27. Calculate the greatest common divisor of s and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 2689384?\nAnswer: -1344692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 + -9. Let h = -2894 - -2892. Is (g + -35)\/(h\/46) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1844 is divided by 50?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4 - 229*w**3 + 10031*w**2 - 19379*w + 9576.\nAnswer: (w - 171)*(w - 56)*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1088*l**2 - 5*l - 860*l - 1090*l**2 to the form f*l**2 + c*l + s and give c.\nAnswer: -865","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*h + l + 18, -4*h = 5*l - 49. Let m be ((-1)\/h*-3)\/(-1). What is the smallest value in m, 1\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -18, -23, -30, -39, -50, -63?\n\"Answer: -m**2 - 2*m - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1006225, 4024914, 9056059, 16099660, 25155717?\n\"Answer: 1006228*v**2 + 5*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67713, 270687, 608671, 1081413, 1688661, 2430163?\nAnswer: 3305667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 293715838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2450 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005774776 to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2669*m - 10663. Give r(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -215, 8, 5, -28\/3, -1\/2, 2.2?\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14006 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -239, 1261, 0, 98 in increasing order.\nAnswer: -239, 0, 98, 1261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-96)\/(-54) - 2)*351\/6?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand q - 6 - 2*q**4 - 14 + 12 + 3*q - 3*q - q**4 + q**4 + 0*q + 0*q + (0 + 0 + 3*q**3)*(-4*q + 0*q + 2*q).\nAnswer: -8*q**4 + q - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -6*((-9)\/(-6) + -2 + 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -346, 2, -0.5 in descending order.\nAnswer: 2, -0.5, -346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2310)\/(-35) - (1 - (-2 - 0)). Let t = -63 + y. Suppose t*d - 2*d - 2*p + 40 = 0, -d - 2*p + 21 = 0. What is the greatest common divisor of d and 152?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v = -3*v + 24 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -10023635.38 to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(6\/7))\/h**(-2\/5)*(h**(2\/7)\/h*h)\/(h*h*h**(2\/5)\/h))\/(h**(4\/9)\/(h*h**2)*h**(2\/3)\/(h\/h**(7\/2)*h)) assuming h is positive.\nAnswer: h**(-23\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 5*q - 655 = -61, 3*q = 2*b - 415. List the prime factors of b.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1027179.44 minus 13395?\nAnswer: -1040574.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 25 = s. Let z(l) = l**2 - 6*l + 3. Give z(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6865387 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -5*s**2 + 103*s + 149. Determine a(22).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, -6.5, 1, 0.04?\nAnswer: -6.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228 = -0*b + 19*b. Let j(k) = -k**2 + 8*k - 16. Let q be j(4). Suppose -t + q*g = 5*g + 24, 2*t + 2*g + 32 = 0. Is b at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60, -53, -36, -9?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (307\/2)\/((-3)\/(-6)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 11, -5, 26, 360 in increasing order.\nAnswer: -5, 0.5, 11, 26, 360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*x - 100 = 7*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -6)*((-5)\/2)\/5\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 365381.1 microseconds in minutes?\nAnswer: 0.006089685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 12:32 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17 and 10429381?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, -4, 317, 4.\nAnswer: -42, -4, 4, 317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -4*f**2 - f - 3. Let w(g) = -g**2 + g - 1. Let y(m) = 3*w(m) - x(m). Give y(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*1\/(-1) + 1)\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 53 - -155. Let i be s*(-7)\/28*25. What is i rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a year in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21845587 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(27) + sqrt(972) + 0 + sqrt(75) + 2 + (sqrt(75) - -4*sqrt(75)).\nAnswer: -1 + 51*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 13 + 17. Suppose -2*v = -y*v - 8. What is the biggest value in -0.1, 6, v?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10010101 (base 2) to base 13\nAnswer: b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -9. Suppose s + 5*a + 18 = 0, -i*s + a + 26 = -4*a. Suppose -5*u - 5*p = 5, s*p = -u - 4*u - 5. Is -2\/5 at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104878620 divided by 249711.\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8236064?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 415809 is divided by 1175?\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 AM and 9:34 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142 + 121 = -7*f. Sort f, -2, 5, -5 in descending order.\nAnswer: 5, f, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4263773911 to the nearest integer?\nAnswer: 1622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -85*s**2 + 254*s wrt s?\nAnswer: -170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 325900522.8 minus -716?\nAnswer: 325901238.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -31, -182, -449, -832, -1331?\n\"Answer: -58*z**2 + 23*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 129690053?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 51 = 2*h. Let t(j) = -13*j + h*j + 42*j. Let f(q) = -3*q. Give f(t(y)).\nAnswer: -138*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.016, -4\/15, -1\/4 in decreasing order.\nAnswer: 0, -0.016, -1\/4, -4\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(-40)*(u\/(u\/(u*u\/(u*u**(-34)*u)*u)))\/u*u*u*u\/(u*u**41*u)*u\/((u*u*u\/(((u**(4\/9)*u)\/u)\/u)*u)\/u)*u assuming u is positive.\nAnswer: u**(-419\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 157\/10285 + 1\/121. Let p = d - 93\/340. Suppose s = -l + 2 + 2, 0 = 2*s - 6. Which is bigger: p or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4 - 8706*q**3 - 122178*q**2 - 427966*q.\nAnswer: 2*q*(q - 4367)*(q + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.08 - 4.08. Sort u, -4\/5, -0.2 in decreasing order.\nAnswer: -0.2, -4\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-70 - -72) + -2 + -2 - (2 + -14)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 839 or -0.2?\nAnswer: 839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1860080, 1860079, 1860078?\nAnswer: 1860077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19.6 + 17.6. Let l = 0.7 + 2.3. Which is the third smallest value? (a) l (b) t (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2895 divided by 1582?\nAnswer: 2895\/1582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k + 2. Let a be p(-6). Let d be 2\/6*(-4 - a). Suppose d = 5*q - 4 - 1. Calculate the highest common factor of 1 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 362479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -142608 and -8.\nAnswer: 1140864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 39\/(-63) + (-6)\/(-21). Put -0.3, h, -1 in descending order.\nAnswer: -0.3, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115426649 to the power of 1\/3, to the nearest integer?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -0.3 (b) -5 (c) 0.3 (d) 47 (e) 0.77\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 10:14 PM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*(h**(-2\/15)\/h)\/h)\/(h*h**(3\/2)))**(-15))**(-3\/10) assuming h is positive.\nAnswer: h**(-327\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -716.98766 + 717. Round w to three decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 826780, 1653910, 2481040, 3308170?\n\"Answer: 827130*i - 350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 41113104?\nAnswer: 41113101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-186)\/1116*8\/(-6)*6?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*y - 730 + 58. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(-1)\/(1\/(-3)*1). Suppose -z = -g + 3*w, -4*g - 4*w = w - 12. What is the third smallest value in 1\/8, g, 1\/6, 0.1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of -1\/8*q**4 + 2\/3*q**3 + 4*q**2 + 1\/15*q**5 - 1\/120*q**6 + 0*q + 0. Give w(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*z - 1087 - 2513. Do z and 240 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10165700.\nAnswer: 2, 5, 59, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 a factor of 13854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xixifivzfvfftif. What is prob of picking 1 z and 2 i?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/((-5)\/(-4)))\/((-11)\/((-1100)\/(-760))). Sort 2\/5, 2, -3\/8, d, -17 in ascending order.\nAnswer: -17, -3\/8, d, 2\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 122213 + -2\nAnswer: 122211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of 20\/21*x**3 + 0 + 0*x + 1\/210*x**5 + 1\/4*x**4 - 216*x**2. Factor o(h).\nAnswer: 2*(h + 1)*(h + 20)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2\/4 - 771*m\/2 + 198147\/4.\nAnswer: 3*(m - 257)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -163 (base 12) in base 6?\nAnswer: -1003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 2\/5, 523762 in ascending order.\nAnswer: -3, 2\/5, 3, 523762","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + v**2)*(-2*v + 2*v - v)*(21 - v + 0*v + 2*v).\nAnswer: -v**4 - 21*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -6*i**2 - 9*i + 9. Let c(b) = -3*b**2 - 4*b + 4. Suppose -27 = 3*m - 9. Determine m*s(o) + 13*c(o).\nAnswer: -3*o**2 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*s - 4*w - 32 = 10*s, -30 = -3*s + 5*w for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18767658 to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*o**2 - 6 - 13*o + 507*o**5 - 13*o**2 + 27*o**2 - 25 wrt o.\nAnswer: 10140*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 5*l**3 - 2*l**2 + 11*l + 5. Let c(f) = 6*f**3 - 3*f**2 + 12*f + 4. Let i(a) = -6*c(a) + 7*z(a). What is the smallest common multiple of 11 and i(5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 2 + -2 + -8 + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261 is divided by 88.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 to the power of 1\/3, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t - 7*t = -21*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o - 5*v - 113, -6*o + 96 - 200 = -o + 4*v for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 6:07 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18910*k**3 + 0 + 18730*k**3 + 2.\nAnswer: -180*k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*d = -64*d - 1212. What are the prime factors of d?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 - 7*42\/(-49). What is the greatest common factor of 578 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 605\/(-363)*51\/5?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 442, 650, 860, 1072, 1286?\nAnswer: 1502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**3 + 3*f**2 - 2. Let z be q(1). Put 4, z, 0, -3 in descending order.\nAnswer: 4, 0, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -5 + 9 + (-2)\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47800 is divided by 5018?\nAnswer: 2638","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -429 - -425. Let u(c) = c**3 + 3*c**2 + 3*c - 4. Calculate u(v).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -28, -52, -92, -154, -244, -368?\n\"Answer: -w**3 - 2*w**2 - 11*w - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 114?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - -8)*(15 - (-12)\/3). Suppose -3*o + 43 = -u. Calculate the highest common divisor of 60 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 48979 or 0.08?\nAnswer: 48979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {y: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*o = 19*o - 51. Suppose 19*a = o*a - 182. Let q be 8\/(-14) + (-38)\/a. Are q and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 43*p + 417. Determine h(-28).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + 166156\/(-48) - 3\/18. Let l = -3480 - k. Calculate the common denominator of l and -11\/37.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 743445.\nAnswer: 3, 5, 5507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*d - 74 - 26. Let c = -0.36 - -0.5. What is the second biggest value in -4, c, d?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3.3 and -392.9.\nAnswer: -389.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2112 divided by -6?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 39 = 5*g - 142, -p = 3. Suppose -308*x + 309*x = g. Calculate the highest common factor of x and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 9919.29 millennia?\nAnswer: 991929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, m: 4, p: 3, d: 2}. What is prob of picking 1 m and 1 p?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3631842, 14527385, 32686624, 58109559, 90796190, 130746517?\n\"Answer: 3631848*j**2 - j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 4*m**2 + 2*m - 4. Give l(5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*p + 1576 = -264*y + 128*p, -y + 5*p - 26 = 0 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13952, -28450, -42948, -57446?\nAnswer: -71944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 6:43 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-64)*4)\/(39\/(-52)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 5745?\nAnswer: 5752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 + 27. Let c(o) = 0*o + f - o - 1. Does 2 divide c(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -6191364*u**2. Let d(c) = 3*c. Calculate d(o(r)).\nAnswer: -18574092*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -140825*m**5 - 130999*m**2 wrt m?\nAnswer: -8449500*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24176853 is divided by 5433.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2550 divided by -51?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-528)\/(-32))\/(6\/8). Let j be (-11)\/(x\/20)*3\/(-6). Solve 0 = -3*q - 4*r + 4, 5*q + j*r - 4 = 1 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38253 + 38251. What is the closest to q in 33, -6.4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-78*o + 25*o**2 + 78*o)*(-2 - o + 2*o + 1).\nAnswer: 25*o**3 - 25*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2017, -3817, -5391, -6739?\nAnswer: -7861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-3331346.\nAnswer: -333134.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 16 + 1 + -142 + 132\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.32 - -3.38. Let q = 4 - x. What is the closest to 1\/2 in q, -5, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 8*t + 20 = 3*t, 3*i - t = 17. Let k(a) be the third derivative of 0 - 1\/12*a**i - 1\/24*a**4 - a**2 + 0*a + 0*a**3 - 1\/120*a**6. Calculate k(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568061 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: Round 1.905 to one dp.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -0.3344\nAnswer: 2.6656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = c + 4*i, -5*i + 33 = 5*c - 3*i. Suppose -21 = -4*o + c*k, 0 = -5*k - 4 - 1. Find the second derivative of 3*u + u**o - 2*u + 0*u**4 wrt u.\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 8. Suppose 254 = -z*w + 2*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 748\/4114 - 13\/11.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 5. Is (5 - a)\/((-3)\/(-159)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -58483 + 96522. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11926828? (a) 0.3 (b) 0.4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -51539, -51540, -51541, -51542, -51543?\n\"Answer: -z - 51538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -406776332, 3 in descending order.\nAnswer: 3, 0, -406776332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/24812 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 5 + 79 = 0. Suppose -s*b + 15*b = 5. Suppose 528 = b*x - x. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b - 2a4227?\nAnswer: -2a4235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**3 + 148*f**2 - 64*f**2 - 23*f**2 - 61*f**2.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w**4 - 288*w**3 + 2368*w**2 + 101376*w + 495616 = 0. What is w?\nAnswer: -8, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 119231 by 6.\nAnswer: 119231\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 72 - 80. Let h be (6\/w)\/(5\/40). Which is the second biggest value? (a) h (b) 5 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/27 and -7\/2103.\nAnswer: 18927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78558 divided by 2.\nAnswer: -39279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from clmttmvttcttct. What is prob of picking 1 m and 1 l?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.05*-0.86012\nAnswer: -0.043006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 5*s = s, 5*l - 40 = -4*s. Suppose 1 = -5*u + l*b + 3, 2*b = -3*u - 12. Is 29 a factor of (3 + -2)*55 + 1*u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(4*sqrt(2880)*1 - (1 + sqrt(2880))*-1 - ((sqrt(2880) + 1)*6 - (-2 + (sqrt(2880) - (sqrt(2880) - (-1 + sqrt(2880))))))))**2 + 0.\nAnswer: 1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23.73943 + 0.17457. Let q = d - -0.086. Let u = q + -24.00000036. Round u to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 18693\/6) + 3\/2. Let i be (h\/3)\/4*(-1359)\/6. Let d = 51261 + i. What is d rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50 and 700.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that k**4\/2 + 20901*k**3 + 1670693*k**2\/2 + 4447806*k + 6389586 = 0.\nAnswer: -41762, -34, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 74\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 574897426.\nAnswer: 2, 367, 461, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z**2 + 7*z - 8. Let n(j) = -6*j**2 + 21*j - 23. Let f(q) = 11*a(q) - 4*n(q). Give f(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -89 - 55. Find the common denominator of (-2)\/12*82\/(-4) and (-46)\/84 + j\/54.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9*-7\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38\/3*(-1218)\/(-3857).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -79, -147, -237, -349, -483?\nAnswer: -639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v - b - 23, 299 = 11*v + 4*b + 267 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6727 - 6725. Sort -7, k, -35, -5, -4 in increasing order.\nAnswer: -35, -7, -5, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiii when four letters picked without replacement from iviiiivi.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 10:58 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 12\/25 of a meter?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 1\/3 (c) -26 (d) -0.2 (e) 25\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7763 is divided by 329?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -534+5896.6691\nAnswer: 5362.6691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 89 - 83. Let l(x) = -2*x - x**2 + x + 8 + 6*x. Calculate l(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*18\/16 + (-4 - -1). What is the second biggest value in a, 0.3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.1, -5, 0, 65?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**2. Let n be (-1)\/(-3) + (-56)\/(-12). Suppose 4*q - 32 + 2 = 3*k, -28 = -2*q - n*k. Let t(f) = -11*f - q*f + f + 7*f. Calculate t(v(x)).\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 506 + 4?\nAnswer: 50a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 - -1 - (-6 + -10 + -16 - -33)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2*(-3)\/(-8))\/((-3)\/(-2088)). Let i = -347 + v. List the prime factors of i.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 8:34 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1332, 4750, 4, -12 in decreasing order.\nAnswer: 4750, 4, -0.1332, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (sqrt(1584) - (2 + sqrt(1584))))*-3)**2 + ((sqrt(3993)*1)\/(-1*sqrt(12)))**2.\nAnswer: 1907\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/1381299 and 7\/783.\nAnswer: 12431691","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + h + 5*h)*(3*h + 74 + 7490*h**3 - 74 + 1385*h**3 - 3*h).\nAnswer: 17750*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -7, 3, -0.2, -2.1, -0.4, 4\/9, 16\/67?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -91*l - 22. Let d(p) = -191*p - 45. Determine -4*d(w) + 9*t(w).\nAnswer: -55*w - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 476398.\nAnswer: 2, 13, 73, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - y - 1. Let j(v) = v**2 - 23*v - 22. Let b(n) = j(n) - 3*o(n). Let h be b(-9). What is the nearest to -1 in 0.4, h, 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.6 + -1.4. Let u = g - -6.9. Which is the second smallest value? (a) 2 (b) u (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 36 = -4*y, 2*y - 16 = 3*i + 4. Let k = i + 4. Solve -3*t + 2 + 13 = k for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 8147649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -137 - -225. Let s = -63 + l. Suppose s = 5*h - 15. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 12*u - 3296 = 34432. List the prime factors of u.\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -456 = 7*q + 104. Let k = q + 86. Differentiate 3*p**3 + k + 2 - 1 + 7*p**3 with respect to p.\nAnswer: 30*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98530277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 283 = -12*u + 211 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 7*g**2 - 5*g + 2. Let o be s(-4). Let l be 3\/(-6)*o*1. Suppose 5*c - l = 47. Calculate the remainder when 23 is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*p + 153 = 49 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1179.8 and 29.\nAnswer: -34214.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 0 - -2 - -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10.2 - -9.4. Let n = -0.9 - a. What is the closest to n in -2\/7, 1\/2, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/2, 2\/47, 34759\/4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -4*d + 6, d = -5*i + 6*i + 9 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2020344 - 44?\nAnswer: 2020300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 5 + 22 = -4*u, 2*s = 4*u + 26. Is 11 < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 17*w + 18. Let k be f(-11). Suppose -k = 2*r - 4*r. Calculate the remainder when r is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 6. Which is smaller: a or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*l**2 - 300*l + 145*l + 155*l + 27*l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 > -1649\/719?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-102))\/(3815\/4578)?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8157730 rounded to the nearest 10000?\nAnswer: 8160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 580358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 19456 = -2*a - 277, -5*a + 47930 = -i. What is the thousands digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 7) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72 + 2148535*b - 72.\nAnswer: 2148535*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 3 (c) -1094801\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.1 (b) -4 (c) -26 (d) -2\/7 (e) -6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*l = -6. What is the second derivative of -8*k**2 - 2*k**2 - 3*k**l - 4*k wrt k?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 - -23. Let g(r) = -z + 22*r + 6*r - 2*r. Let n = 104 - 103. Give g(n).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -2*l. Suppose -u - u - 12 = 0. Let m be (96\/224)\/((u\/16)\/1). Which is bigger: l or m?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.1484 + 0.3794. Let n = -0.179 - o. Let s = n - 1.589817. Round s to five dps.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1152, -2255, -3344, -4425, -5504, -6587?\nAnswer: -7680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*1*-4*((sqrt(20) - sqrt(180)*2)\/(2*(sqrt(10) + sqrt(160)))*5 + 0).\nAnswer: -30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1333322 - 3?\nAnswer: -1333331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*y = -14637 - 23821. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 123, 242, 395, 618, 947?\nAnswer: 1418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00067209 to 5 decimal places.\nAnswer: -0.00067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2211 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42 - -41. Is 0 + -2 - (-3 + 42)*u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 290236867?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (56784\/(-224) - -121)*16\/20.\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - a - 1 = 0, 0*j + 4*a = -3*j + 29. Let i = 0 + j. Put -1, 2, i in increasing order.\nAnswer: -1, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, -4, -2, -119 in descending order.\nAnswer: -2, -3, -4, -5, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -5, 7, 1, -2 in decreasing order.\nAnswer: 7, 1, -1, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 4*r - 4*q, -2*r - r + 36 = -2*q. What is the remainder when ((-123)\/2)\/3*-2 is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 6*d + 21. Let y be s(-3). Suppose 4*z = -0*b + y*b + 3, -5*b - 5*z + 30 = 0. Suppose 0 = b*g - 9, r - 5*g - 7261 = -g. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from croorroododddodo. What is prob of sequence ooco?\nAnswer: 1\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 582 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*4\/(-72))\/((-5)\/(-75))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (187\/(-51))\/(1 + (-356)\/354)?\nAnswer: 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 748.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -306*o - 2279. Give w(-8).\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -95 + 18*r**3 - r + 166 - 101 to the form j*r**3 + h + v*r**2 + o*r and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43.09 - -0.09. Let t = -409198.9959 - -409156. Let s = y - t. Round s to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2717*q**2 + 9*q - 10. Let f be l(1). Calculate the greatest common factor of 291 and f.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 n when three letters picked without replacement from {z: 3, n: 4}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 123\/20 and 53\/55?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.9? (a) 23 (b) 5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 75\/45*6\/5. Solve 4*r + 5*z = -22, 0 = -i*r + 3*z - 0*z for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/8))**5*(f\/(f*f**(-1)))\/((f*f*f**(-18)\/f*f)\/f*f) assuming f is positive.\nAnswer: f**(131\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -625648 - 124?\nAnswer: -625773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 0 - 4)*(0 - 3 + 5 + (3 + 0 - 4)*(-1 + 0 + 2) + 2 - 2 + 2 - 4 + 0 + 2)*(-1 - 2 + 2)*(0*d**2 + 0*d**2 + 5*d**2).\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 8*t**2 + (-2 + 4 + 0)*(1 - 1 + 2*t**2) - 2*t**2 + 0*t**2 + 0*t**2)*(2*t**3 + 5*t**3 - 2*t**3).\nAnswer: 50*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.358 minus -6.56354?\nAnswer: 6.92154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -566 - -570. Suppose 0 = h - 4*m - 1304, -f*h + 3*h - 4*m + 1344 = 0. What are the prime factors of h?\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 PM and 8:55 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 2\/3*o**2 - 2\/3 + 0*o = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 9:41 PM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (194460 + 0)\/6 + (-3 + 0)\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - 5 - (-154)\/14. Suppose -u*b + 10*b - 4*b = 0. Solve 3 = -k - b for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27142522, 27142521, 27142520, 27142519, 27142518, 27142517?\nAnswer: 27142516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -5*n**3\/3 - 16*n**2 - 30*n. Calculate the remainder when f(-13) is divided by 50.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 99431130?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -131160*w + 299165.\nAnswer: -131160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -45625*p. Let u(x) = 80*x**2. Determine u(t(w)).\nAnswer: 166531250000*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -2024 - -2024.2. What is the nearest to k in -3, 5, 25\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*z + 73*z - 778*z - 6139 = 0 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkeeneknkkee. What is prob of picking 1 n, 2 k, and 1 e?\nAnswer: 20\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 18, -2, 4.\nAnswer: -2, 3, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + 3*h - 2*h + (-3 + 2*h + 3)*(-2 + 3 - 2))*(-6*h + 7 + 5*h + 2*h).\nAnswer: -4*h**2 - 28*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/(-6))\/10*18\/40.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/19, -2, -39.6, -1\/3 in descending order.\nAnswer: 1\/19, -1\/3, -2, -39.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or -0.3468?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**3 - 2*i**3 + 2*i**3)*(3*i - 2*i - 9*i).\nAnswer: 16*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 2*a - 150, 3*u + 2 = 8. Let m(o) = 2*o**2 - 10*o + 7. Let h be m(6). Let g = a - h. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + h**2. Let k(s) = -7*s**3 + 10*s**2. Calculate -6*f(p) + k(p).\nAnswer: -p**3 + 4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 669799994 + 88925.\nAnswer: 669888919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -6*h**2 + 7*h + 2. Let g(a) = -a**3 - 13*a**2 - 13*a - 5. Let k be g(-12). Let m = k - 13. Let d(x) = -7*x**2 + 8*x + 2. Calculate m*s(n) + 5*d(n).\nAnswer: n**2 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 79558.08 tonnes?\nAnswer: 79558080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**2 + 120 + 121 - 356 + 114.\nAnswer: h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeenrewneneeewwwene. What is prob of sequence eewr?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1713961, 3427919, 5141877, 6855835, 8569793, 10283751?\n\"Answer: 1713958*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1103, -2261, -3419, -4577, -5735, -6893?\n\"Answer: -1158*o + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) 5 (c) 5\/6 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**2 + 1251*a + 6. Let q(b) = -3*b. Give q(t(o)).\nAnswer: 6*o**2 - 3753*o - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 minus 8539.31?\nAnswer: -8565.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, k: 3, u: 7, i: 3, q: 1, z: 2}. Give prob of picking 2 n and 1 u.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) 1 (b) 0.4 (c) 49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 21 + 7 - 2*c)*(-20*c - 2*c + 0*c) + 2*c**2 - 2*c**2 - c**2.\nAnswer: 43*c**2 + 330*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12.385 - 8.478. Let b = -0.497 + r. Round b to one dp.\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3605 (base 7) to base 5.\nAnswer: -20303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1963872 divided by 108.\nAnswer: 18184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2476 and -2.\nAnswer: -4952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 1\/4, -3383, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171*z - 4 - 155*z + 4.\nAnswer: 16*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m*m**(-2\/23))\/m*m)*m**(2\/23)\/m)\/(m**(2\/5)\/m)**(2\/33)*(m**(-7)\/m*m\/m**1)\/((m*m\/m**2)\/m*m*m**7) assuming m is positive.\nAnswer: m**(-19974\/1265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**3 + t**3 - 5*t**3 + (-3*t - t + 3*t)*(-t**2 + 4*t - 4*t) - 29*t**3 + 14*t**3 - 42*t**3 to the form d*t**2 + c*t**3 + r*t + w and give c.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s. Let m(x) = -10*x - 28. Let q(v) be the third derivative of -v**4\/3 - 9*v**3\/2 + 26*v**2 - 2. Let h(k) = 5*m(k) - 6*q(k). Give j(h(w)).\nAnswer: -2*w + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 2)*(4*v + 1 + 0 - 2*v).\nAnswer: 6*v + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/3 and -11\/9668?\nAnswer: 29004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6250483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 84053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (5 + -3)) + (7 - -4 - 11).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from {i: 1, h: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38832)\/(-33978)*(-33)\/(-4)*(-140)\/30?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.09, -44116, 2\/9, -5 in increasing order.\nAnswer: -44116, -5, -0.09, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/(-2)*(-76)\/(-285)*-5. Sort w, 1, 3, -3 in decreasing order.\nAnswer: 3, 1, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-410)\/468)\/(-205)*-4?\nAnswer: -2\/117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-790689)\/(-28287) - (-2)\/42?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 + -36. Let h(i) = i**3 + 18*i**2 + 10*i + 38. Let l be h(k). Suppose -x - 48 = -5*f - l, 2*x - 251 = -f. Does 14 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5439578 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 8*d + 22. Let y be b(10). Let a be 0 - 231\/55 - (-2)\/10. Put a, y, 4 in increasing order.\nAnswer: a, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 0, -42, -3, -43, -13, -0.4?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1\/21055, -2 in descending order.\nAnswer: 3, -1\/21055, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17898, -17899, -17900, -17901, -17902, -17903?\nAnswer: -17904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ap when two letters picked without replacement from paaaaapapp.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 1 - (-759 + 766)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/13291173 and -12\/77.\nAnswer: 146202903","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 - j - 1. Let z(r) = 6*r**2 + 17*r + 5. Let i(v) = -o(v) - z(v). What is b in i(b) = 0?\nAnswer: -2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1425232999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*w + 3*w - w + (w + 1 - 1 + 2*w + 1 - 1 + (2 + 1 - 1)*(3 - 3 + 2*w) - 3*w - w - 12*w)*(-98 + 139 - 564) to a + p*w and give p.\nAnswer: 4706","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -15.07?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 54 - 0.02371\nAnswer: 53.97629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2. Let t(i) be the third derivative of 703*i**4\/24 + 1440*i**2. Determine t(o(m)).\nAnswer: 703*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 9) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -5*v - 2*v**2 + 2*v**2 - 3*v**2 + 1 + 2*v**2. Calculate a(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/1681 or -0.04?\nAnswer: -2\/1681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17542, 70404, 158542, 281968, 440694, 634732, 864094, 1128792?\nAnswer: 1428838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -537, -1050, -1559, -2064, -2565?\n\"Answer: 2*p**2 - 519*p - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.3, 0.5, -14745, 3\/4, -5.\nAnswer: -14745, -5, -0.3, 0.5, 3\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.67 + -918.67. Let w = k + 910.09. Let m = w + -0.09. Which is the third biggest value? (a) 0 (b) -0.3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -432*l - 42653. Let v(a) = 2*a. Determine g(v(t)).\nAnswer: -864*t - 42653","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29029895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.725 + 641.275. Let f = k - 641.9. Is 14 greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3*w + 17 = 0, 3*w = -5*v + 4*w + 15. Suppose v = d - 19. What is the remainder when (0 - -62) + 4\/(-4) is divided by d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**3 + 6*f**2 + 14*f + 2. Calculate the remainder when l(5) is divided by 94.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 49019 - 114633. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - -0.1481\nAnswer: 0.2481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 62723 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5219, -10424, -15629, -20834, -26039, -31244?\nAnswer: -36449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*z - 4*z = -5500. Calculate the remainder when z is divided by 44.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 2*l + 660, 4*x - 1057 = -4*l - 397. Calculate the greatest common factor of 90 and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(252) + 5 + (sqrt(252) - (sqrt(252) - sqrt(252)*-2)))**2*-2.\nAnswer: -480*sqrt(7) + 2216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26257*w + 15 - 26258*w + 38.\nAnswer: -w + 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 174 - 21. Let i be 1 + (8 - 3) - 0\/(-2). Suppose 0 = -2*z, -3*w - z - j = -i*w. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 2153*b - 37 - 5272*b + 19.\nAnswer: -7425*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.01 (b) 0.3 (c) -2\/131767 (d) -2 (e) 0.02 (f) 0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 1 + 11*o**2 + 9 + 14*o**2 + 22*o**2.\nAnswer: 47*o**2 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-18)\/(-21))\/((-2)\/(-14)). Suppose 0 = -2*o + 2*i + 786, y*o - 1176 = 3*o + 4*i. Suppose 4*d = -80 + o. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 8 = -2*m, -2*m + 59 = -4*j + 13. Let v = -28 - -39. Calculate the highest common divisor of v and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-9) + (4 + -7 - 392\/63)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*m**2 - 6*m - 4*m**2 + 5*m + (0 - 1 - 1)*(-2*m**2 + 0*m**2 + 0*m**2) as f + g*m + a*m**2 and give a.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1617 and 168?\nAnswer: 12936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -0.03, 440, 1\/5?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 100528 by -103.\nAnswer: -976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert cb13 (base 13) to base 6.\nAnswer: 334423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30451 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 573, 793, 1175, 1749, 2545, 3593, 4923?\n\"Answer: 5*i**3 + 51*i**2 + 32*i + 485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20400 (base 6) to base 5.\nAnswer: 41421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 9*r - 22. What is i(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -0.2. Let r = 6326 + -6326.13. Which is the fourth smallest value? (a) r (b) 2 (c) 4\/5 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-488)\/(-22) + 4 + (-276)\/66. Calculate the greatest common divisor of j and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -3\/2*k**4 + 0*k**2 + 0*k + 3*k**3 - 5. Find the third derivative of q(v) wrt v.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c**2 + 24*c + 38. Let j be 10\/8 + (-871)\/268. Let k(d) = -16*d**2 - 121*d - 189. Let l(b) = j*k(b) - 11*n(b). Suppose l(o) = 0. What is o?\nAnswer: -20, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2. Let q(w) = -w - 7. Let y be ((-7)\/3 + 1)*-3. Suppose 1 = -4*v - 3*m, -3*v - y*m = m + 9. What is v*q(l) - 7*d(l)?\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 10*y**2 - 20*y. Let o(f) = -3*f**2 + 7*f. Let h(m) = 2*g(m) + 7*o(m). Let p(v) = -16*v. What is h(p(z))?\nAnswer: -256*z**2 - 144*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 6, 24 in descending order.\nAnswer: 24, 6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45 + -181\/4. Let v = 18.389 + -0.189. Let w = v + -18. Which is the smallest value? (a) 1 (b) w (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + (1 - (-18 - (17 - 34))) + 1.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y + 0 - 4 + 0. Let x be n(-3). Suppose -2*c + 2 = -x. Solve 6 = -2*i + o, i + 5 = c*o - o for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21 - 100220011?\nAnswer: -100213330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*n - 294 = -138*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1410?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3925 and 9734?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1996.2693 and -0.4.\nAnswer: -798.50772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of -x**2\/2 + 2*x + 50. Let s = -4 + 3. Let o be a(s). Solve -2*v = 7 + o for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 2. Let u = 0 - t. Let d(y) = -6*y + 36. Let p be d(4). Solve 4 = u*w + p, 3*w + 32 = -5*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 12:18 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3\/2233 - -1917\/2233. Let q = 405 - 2826\/7. Factor 3\/7*b**2 - q*b + z.\nAnswer: 3*(b - 2)*(b - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3156, -6366, -9688, -13176, -16884, -20866?\n\"Answer: -9*w**3 - 2*w**2 - 3141*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 2.6\nAnswer: -2.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zx when two letters picked without replacement from {z: 1, x: 3, h: 1, i: 5}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 747922 is divided by 647?\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + ((-3)\/1 - -31). Solve -3*q + 8*q + 5*d = -v, -3*q + 2*d + 5 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 540 - 542. Which is the fourth biggest value? (a) h (b) 0.1 (c) 5 (d) -37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of -c**8\/336 + 5*c**4\/12 + 2*c**3\/3 - 6*c. Let v(f) be the second derivative of i(f). What is the derivative of v(n) wrt n?\nAnswer: -20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6281 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -10\/11, -1\/5, -3\/4, -301\/3, 89 in increasing order.\nAnswer: -301\/3, -10\/11, -3\/4, -1\/5, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 20 = s - 4*u, 0 = 4*s + 3*u - 12. Factor 0 + s*x - 2\/5*x**3 + 4\/5*x**2.\nAnswer: -2*x**2*(x - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - 2*q + 3. Let v be z(2). Let i(h) = -h**2 - v*h**3 - h + 2*h**3 + 0*h**2. Let o be i(0). Is o bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4321195460?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/((-1748)\/115) + 78\/(-56)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 12006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 7 + 3 + -10 + -7 + 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 3 = 1. Let s be u*(-2 - 27\/(-3)). Let a(w) = -w**2 - 7*w + 2. What is the units digit of a(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*f = 396, 6*p - 19*p + f = -5229. Solve -9*q + p = 366 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 381210 at most as big as 381209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 268091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**2 + 4 - 4*c**2 + 2*c**4 - 145*c + 4*c**2 + 145*c - 59*c**3 to the form a*c**3 + d*c + h*c**4 + f*c**2 + k and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17111 is divided by 16657?\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 935 - 934. Is w less than -1\/1307?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 452445 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*t**3 - 125*t**2 + 3*t + 30 wrt t?\nAnswer: -30*t - 250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i**20\/i))\/i*i)\/(i\/i**8) assuming i is positive.\nAnswer: i**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + 0.14978?\nAnswer: 0.64978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*h**4 + 29*h**2 + 131720*h + 312197110 wrt h.\nAnswer: 12*h**3 + 58*h + 131720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 + 877 = 3*l - 3*w, 0 = -3*l + 2*w + 846. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3*c**2 - 14*c + 54. Let x be d(12). Let z = x + 9286\/17. Determine v, given that -2\/17*v**3 - z - 8\/17*v**2 - 10\/17*v = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/2*n**4 - 9\/2*n**2 - 1 + 7\/2*n + 5\/2*n**3 = 0. Calculate n.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(((-4)\/2)\/(24\/108*702\/195)).\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 - 2)*(m - 15 + 15) - 2*m - 2*m - m)*(0 + 3 - 4).\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44049.18m to kilometers.\nAnswer: 44.04918","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 0 = -5*f + 1, 2 = -5*f + s. Let o be 5\/((-5)\/2) - f. Let m = -1 + 1.1. Which is the third smallest value? (a) m (b) 1\/3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -m**5\/5 + m**4\/4 - 4*m**3\/3 - 88*m. Find the second derivative of h(i) wrt i.\nAnswer: -24*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 7) in base 5?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**4 - 2*d**4 + 0*d**4 + (4 + 2*d - 4)*(-3*d**2 + 3*d**2 - 2*d**3) - 11*d**4 + d**3 - 2*d**3 + 0*d**4 + (-2 + 0 + 0)*(-d**4 + 3*d**4 + 0*d**4).\nAnswer: -21*d**4 - d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 193 + -106. Let c = 90.81 - h. What is c rounded to one dp?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 984 - 506. Let c = r + -136. Suppose c = 5*a - 5*v - 73, -4*a + 337 = -3*v. List the prime factors of a.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.4 + -5. Suppose p + 3*p = 540. Let d = p - 132. What is the closest to h in 0.3, d, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3814*0.2\nAnswer: -762.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s**2 + 80*s - 792. Calculate w(17).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2122073.\nAnswer: 2122073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*i - 3*i**2 - 15 + 2*i**2 + 15 to a*i + z + u*i**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k - 9*k + 95 = 171. Put -1, -5, k, -8, -51 in ascending order.\nAnswer: -51, -8, -5, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -40 - 26 - 14 + 81. Let z(l) = -l**3 + 2 - 1 + 0. Determine s(v) - z(v).\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 211807638 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 7:05 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*y = -454 + 310 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36 + -72. Suppose -3*u + 3*x + 2499 = 0, 5 = 3*x - 4*x. Suppose -22*h - h - u = 0. Is h smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -10. What is the second smallest value in x, 0.07, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (6\/(-30))\/(1 + 864\/(-860)) is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 77*o**3*s**3 + 2*o**3 - 9*o**2*s**2 + 2*o*s**3 + 17*o wrt o?\nAnswer: 462*s**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1\/5)*i*i**(-4)\/i*i**(-1\/4)*i*i**(-1) assuming i is positive.\nAnswer: i**(-89\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 63\/(-15) + 4 - (-22)\/10. Solve -u*p = 2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 7 + 0 + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -285*-0.3.\nAnswer: 85.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 13*r + 11*r + 121 - 4 + 19*r - 20*r. Let q be j(-5). Solve 23 - 17 = q*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) 1\/3 (c) -0.137 (d) 0.029 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 91584615*a**3*c**3 - a**3*x - 15402*a**2*c**3 + 2*a*c**3*x - 45*a*c**2*x + 2*c*x + 16 wrt a?\nAnswer: 549507690*c**3 - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 23 = -t - 18, 0 = 3*w - 5*t - 23. Let x(z) = -z**3 + 7*z**2 - 12*z + 1. Determine x(w).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*t**5 - 2290*t**4 - 995*t**3 + 6820*t**2 + 7340*t + 1840 = 0.\nAnswer: -1, -2\/5, 2, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 - 4 = -2*r. List the prime factors of r.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -936 + 6554\/7. Let o(k) = -k**2 - 4*k. Let n be o(-4). Solve 2\/7*l + n - f*l**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**3 + 172*q - 172*q.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30689168 = -9*q + 22050832. Round q to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -569051989 rounded to the nearest 10000?\nAnswer: -569050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1689 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/14 + (6 - 2).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1400000 to the nearest one hundred thousand.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -305, 493, 2659, 6877, 13831, 24205?\n\"Answer: 114*x**3 - 419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 52 = 4*p, -23 = -g - 4*p + 3*p. Is g a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lbbb when four letters picked without replacement from sssbslbb?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 0*t + t)*(1 - 3 + 3) - 8*t - 3*t + 6*t + 0*t + t - 2*t.\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -n - 72. Let r be n\/63 - 14\/21. Which is the third smallest value? (a) 0.4 (b) 3\/2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 0. Suppose -i*q = -2*z - 10, 0 = -z - 2*z - q - 1. What are the prime factors of z + 13 + 6\/(-3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (255\/35)\/3 - 2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 11 = -4*w. Suppose -r = -2*r + 4. Suppose 2*a + 4 = w*k, -k + 2*a + 22 = r*k. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10091928 by 21844.\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 243338454?\nAnswer: 2, 3, 13518803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -6 (b) -1003 (c) 52\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 PM and 4:21 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 411433 - -44201?\nAnswer: 1011134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2114623, 4229246, 6343869?\nAnswer: 8458492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 92314384?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rjp when three letters picked without replacement from pppppjppprppppppr?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 384 and 56?\nAnswer: 2688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 55, 72, 89, 106, 123?\n\"Answer: 17*p + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4 + 2 - 4)*(-5*i + i - 3*i) + 2*i - 1 + 1)*(4 - 2*i - 4)*(0*i + 2*i - 4*i) to b*i + n*i**2 + u + a*i**3 and give a.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 6.3. Let s = 37 + -37. Put b, s, -1 in increasing order.\nAnswer: -1, s, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -28.75 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 2:59 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 90*g**2*r**3 - 8*g**2*r + 3*g*r**3 + 5*g*r**2 - 5*r**3 wrt g?\nAnswer: 180*r**3 - 16*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/13 (b) 0.494 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 8:54 PM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*v + 4*h - 20 = -67*v, 0 = 5*v - 4*h - 4. Suppose 3 + 17 = 4*p. Solve -1 = -v*w - p for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*a + 1 - 1 + (-3 - 3 + 5)*(4 - 2*a - 4))*(a - a + a) + 190*a**2 - 92*a**2 - 216*a**2 in the form x + n*a**2 + v*a and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 713?\nAnswer: -713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -9. Let s(p) = p**5 + 3*p**4 + 2*p. Let v(l) = 2*l**4 + 3*l. Let n(b) = g*s(b) + 6*v(b). Find the second derivative of n(w) wrt w.\nAnswer: -80*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12*s**3 - 2458986*s**2*v - 866241112*v wrt s?\nAnswer: -36*s**2 - 4917972*s*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -5*k**4\/26 - 44*k**3\/39 - 28*k**2\/13 - 16*k\/13 - 19. Determine h, given that b(h) = 0.\nAnswer: -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(-3*k + 5*k - k)*(-1 - 7 + 3).\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 1 + -18 + -10 - -16?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22897, 49636, 76375, 103114, 129853, 156592?\nAnswer: 183331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 - (4 - 11))*1. Let f(l) = 9*l - 26. Let m(w) = -4*w + 13. Let b(s) = i*f(s) + 7*m(s). Let d be b(11). Solve -3*h = d*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13302021133 (base 4) to base 9.\nAnswer: 3748827","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 8*i - 11*i. Suppose -12 = i*m - 3*m + 2*p, 0 = 3*p + 9. Solve 2*h = m*h + 16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-84)\/(-825) + -1*4\/22?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 925209596.\nAnswer: 2, 231302399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1250 a factor of 326268750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 113 + -117. Sort 5, c, 19, 4.\nAnswer: c, 4, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11463*d - 11468*d = 60 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9541727 is divided by 1593?\nAnswer: 1250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 7*h + 2*h)*(-2 + 2 + h**2).\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -5*d + 15, 16*d + 6 = -4*u + 18*d for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-79)\/1580)\/(6\/(-16))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 17*j - 20. Let w be b(-2). Let r be (-675)\/w*16\/5. Which is smaller: 46 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0)*(2 - s - 2) - 3*s + s - s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 206*m**2 - 21*m - 3. Give z(1).\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) -5 (c) 9 (d) 2\/175\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 79 - 2*p - 43 - 44 - 2*p. Let v be s(-2). Solve v = -13*a + 19*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.03 - -0.37. Let o = w - 0.5. Let g = 59\/75 - 3\/25. What is the closest to o in 3\/7, 0.1, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -2 - 1\/3*x**3 + 3\/2*x**2 + 0*x. Let a(j) = -j. Let t(z) = -5*a(z) - 2*b(z). What is the second derivative of t(r) wrt r?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 156\/18 - (-3)\/9. Suppose -u - 3*m + 7 = -d, u = 5*m + 48. Calculate the highest common factor of u and 336.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 3*x**2 + 4*x - 5. Let g be v(4). Solve 0 = -4*a - g + 7 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-24))\/((-245)\/(-94374)*3\/(-5))?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -16*t - 4. Let c(r) = -5*r - 1. Let s be 5 + -9 - (-1 - 1). Let q(g) = s*v(g) + 7*c(g). Let w be (-1)\/((-2)\/12) + -2. Give q(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 663\/26 - 6\/4. Solve -4*d + 2*d + 3*k - 14 = 0, 0 = 4*d - 4*k + m for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 74203.19 milligrams?\nAnswer: 74203190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 2*o + 12 + 4, -16 = -3*p - 2*o for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 14*z**2 - 4*z - 17. Let o(n) = 5*n**2 - n - 6. Let x(k) = -4*i(k) + 11*o(k). Let j(d) = -6*d - 1. Let t be j(-1). Determine x(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 + 35. Solve 20 = -a + y*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 918 - 918. Let n be (0 + -1)*(0 - 2). Solve k*f = -n*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5 - (-2)\/2) + -16 + 21. Let t be -4 - -4*(r + 4). Solve -31 = 3*w - 5*p, 3*w + 7 = -3*p + t for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/6 - 3727*d\/6 - 317035\/3.\nAnswer: (d - 3890)*(d + 163)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 115 and 1955?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 l when two letters picked without replacement from pwrnwlpwpnuwulppp.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**3 + 7*t**2 - 5. Give o(-5).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 4, 5, 1 in increasing order.\nAnswer: -1, 1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 1)*(-33*x + 33*x + 9*x**2)*(0*x - 3*x + 5*x).\nAnswer: -36*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**4\/8 + 133*a**3\/8 + 417*a**2\/4 + 4*a - 556 = 0 for a.\nAnswer: -4, 2, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 6*z - 205. What is the remainder when z is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 257, 2\/19, 980?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + 19*d + 75. Calculate k(-9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 122625 times 117?\nAnswer: 14347125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 5*i + 2. Let c be l(-3). Let r = 35 + c. Let d be 12*4*(-1)\/(-4). Solve 2*v + 3*m - d = -v, -2*v = -4*m + r for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-201 + 2*l**2 + 201)*(3*l - 2*l - 2*l) + 5*l**3 + 0*l - 5*l - 4*l**3.\nAnswer: -l**3 - 5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 10 - 12) + 12 + -3.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 31*m + 1065. What is d(-47)?\nAnswer: -392","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + j - 29, 5*p + 9*j - 4*j - 25 = 0. Solve -3*d - p = 6 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244400 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*u + 114*u + 40*u + 91*u.\nAnswer: 213*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 74 and 150.\nAnswer: 5550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/5, -25, -0.3?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1468 and 5894020?\nAnswer: 1468","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1506 - 426. Suppose -y = -5*l + 3665. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 490704?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*n - 4*n + 2*n)*(-3*n**2 + 0*n**2 + 0*n**2)*(-4*n - 1 + 2 - 4).\nAnswer: -156*n**4 - 117*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 624313709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8987*y**2 - 3 + 10 - 8988*y**2.\nAnswer: -y**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-4*((sqrt(1573) + 4*-4*sqrt(1573))*-4 - (-5 + sqrt(1573) + 2 + -2*(sqrt(1573) + 1))))**2.\nAnswer: 107360*sqrt(13) + 93650528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 716\/193 in -5, -2, 1.4, 0.2?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ztzzztzttztz. What is prob of sequence zt?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 15415 divided by 5\nAnswer: 3083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -132 + 137. Solve -o + x = w, -3*x + 4 + 11 = 4*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -493684, -493749, -493816, -493885, -493956?\n\"Answer: -r**2 - 62*r - 493621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 4*l - 17, 0*l - 3 = -l. What is the highest common factor of z and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -13. Suppose -j*l = -18 + 2, -f + 5*l + 14 = 0. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4*(sqrt(567) + (sqrt(567)*-1 - sqrt(567)) - sqrt(567)))\/(sqrt(216)\/sqrt(6)).\nAnswer: 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -90, -137, -184?\n\"Answer: -47*z - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 18*p. Let n be q(5). Calculate the highest common divisor of 36 and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q**3 + 2*q**3 - 5*q**3.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 143*y**3 - 91*y**2 + 91*y. Let r(s) = -8*s**3 + 5*s**2 - 5*s. Determine 5*a(k) + 91*r(k).\nAnswer: -13*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-15) - (-392)\/10. Suppose -5*d + 32 = -4*o + 136, -5*o + 130 = d. Calculate the highest common divisor of b and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, m: 3, q: 4, v: 7, u: 1}. Give prob of picking 1 m, 2 v, and 1 q.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 369245, 369247, 369251, 369257, 369265?\n\"Answer: v**2 - v + 369245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 1. Suppose 3*d = 9, 9 = -3*l - 0*l - 2*d. Let i(r) = r**2 - 1. What is l*f(v) - 2*i(v)?\nAnswer: -2*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1831 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a litre in millilitres?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 1248*v**2 - 8*v. Let f be a(2). Suppose 2*j - 2*c = f, -4*j + 9555 = 3*c - 418. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -59.9 and -493.\nAnswer: -552.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 138154 and 0.5.\nAnswer: 69077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - t. Let h be (4\/(-13))\/(-2 + t). What is the closest to 2\/3 in -0.5, -7, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37847685*c**2 - 19959580.\nAnswer: -75695370*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -2\/9 (c) 1\/10 (d) 0.56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z + 36 = 9*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -206*x - 7778. Let l be p(-38). Solve l*v + 56 = 43*v for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25180 to the power of 1\/2, to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**2 + 6 - 6)*(-s**2 + 2 - 2) + 3*s**4 + 4*s**4 - 3*s**4 + (-3 + 3 - s)*(-s**2 - s**3 + s**2) + 0*s**4 + 0*s**4 - 2*s**4.\nAnswer: 7*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a hour in seconds?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 76.06085 millennia in centuries?\nAnswer: 760.6085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -6.5. What is the smallest value in 5\/3, -4, n?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 6 - (-11 - (-23 + 10))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (915\/27)\/(-5) + 2\/(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4462?\nAnswer: 2, 23, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -3*x**5 + 1275*x**4 - 150504*x**3 + 3202032*x**2 - 20332800*x + 17280000 = 0.\nAnswer: 1, 12, 200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 1\/4 (c) 2\/3 (d) -1 (e) 184\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -4*o - 12. Suppose 0 = -4*i + 2*i + o. Solve 0 = 3*c - 3, 2*l - 4*c + 4 = -i*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5544295 and 4845.\nAnswer: 1615","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 49 in 0.9, 3, -2\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -c**7\/840 - c**5\/12 - c**4 + 3*c. Let y(p) be the third derivative of k(p). What is the derivative of y(t) wrt t?\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-18))\/((-1)\/(-8))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by ((-3)\/9)\/(5\/(-3225)*5)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -3*a. Let g(y) = -79*y - 1. What is g(i(h))?\nAnswer: 237*h - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4910561 divided by -20?\nAnswer: 4910561\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2076 + 2074. Which is the fourth biggest value? (a) p (b) 2\/7 (c) -21 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 62\/56 + (44\/924)\/((-2)\/36). Sort b, -0.44, 4, 1\/10, -1\/4 in increasing order.\nAnswer: -0.44, -1\/4, 1\/10, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 29*a**2 + 24*a - 99. Let n be h(-28). Let d(l) = -15*l + 30*l - n*l. Let v(q) = -q**2 - 36*q. Calculate v(d(c)).\nAnswer: -4*c**2 - 72*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 1008\/257737 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 17*v - 2988. Calculate c(-46).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*g - 25666 + 1411 = 15303. Which is bigger: 2084 or g?\nAnswer: 2084","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 4, 3087673 in ascending order.\nAnswer: -1, 0, 4, 3087673","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -160 divided by 32\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 64*h + 175*h - 24*h as v*h + s and give v.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9563059 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 1678*t**3 - 6*t**2 - 6*t + 2389. Let k(j) = 1677*j**3 - 7*j**2 - 7*j + 2378. Let w(p) = -7*c(p) + 6*k(p). What is the derivative of w(a) wrt a?\nAnswer: -5052*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 - 13. Let u = 7 - f. What is the second derivative of -u*j**2 - 7*j - 5*j**2 + 3*j + 6*j wrt j?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 11:24 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 310.8272um in millimeters?\nAnswer: 0.3108272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - j = 4*l - 2, 0 = -2*l + 2*j - 4. Let z(w) = w - 2. Let u(t) = -4 + t + 1 + 0. Let f(m) = 2*u(m) - 3*z(m). What is f(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9c + -13?\nAnswer: -b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 792 a factor of 160214011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 2:42 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t + 24. Is i(17) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11043 is divided by 421?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-10 + (17 - 4 - 2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -4*t + 3*t, -3*b = 2*t + 3. Let f be 16\/4*t\/(-2). Let h be -3*-10*(-1)\/f. Solve h*n + 17 = -3 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 - (-15)\/5 - (4 - 1). Suppose 5*m - q*z = m + 1001, -5*z - 239 = -m. Suppose 0*s + m = 2*s. Is s a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**2 + y + 59. Calculate the remainder when m(0) is divided by -2 + (-9)\/(-5) + (-76)\/(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, 5, -4\/5, 2\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15358571 a multiple of 358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**2 + 2*v + 3. Suppose 4*h = -g + 21, -4 + 22 = g + 3*h. Let n(q) = -8*q**2 - 9*q - 13. Calculate g*a(i) + 2*n(i).\nAnswer: 2*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from onovnv. What is prob of picking 1 v and 1 o?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - 2*i**2 - 1 + 2*i - 7*i. Let n be 44\/(-242) - (-972)\/22. Let h = 40 - n. Determine g(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15964566 divided by -514986.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -7*f + 8. Let i(o) = 2*o**2 - 7*o. Calculate i(d(w)).\nAnswer: 98*w**2 - 175*w + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 100018, 197205, 294392, 391579, 488766, 585953?\n\"Answer: 97187*d + 2831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 46137 and 3965?\nAnswer: 182933205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-768*f - 68*f - 409*f)*(0 + 0 + 4) in the form s*f + r and give s.\nAnswer: -4980","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q + 113 = 243 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-5 - -2 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 66406, 67007, 67624, 68263, 68930, 69631, 70372?\n\"Answer: i**3 + 2*i**2 + 588*i + 65815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 13) to base 3\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 - 9 + 9*c)*(-2 + 2 - 1 + (5 - 1 + 0)*(0 + 1 + 1) + 4 - 4 - 2 + 2 + 0 + 0 + 3 + 4 - 5) to the form t + r*c and give r.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 216 divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -697.4 - -696.4. Let o = 3 + -2.98. Which is the closest to t? (a) 2\/3 (b) o (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47601, -1, 0, 1, 3, -49 in ascending order.\nAnswer: -47601, -49, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 1. Let s = -3041 + 3039. Is s at least f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12710626*m**2 - 3297131*m?\nAnswer: -25421252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 356 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4969 + -29945\/6. Let a be (-3)\/5*((-70557)\/162 - -3). Let n = 1284\/5 - a. What is the common denominator of k and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -27*c**2. Let u(o) = -o. Let h(a) = -a**2 + 4*a. Let d(z) = h(z) + 4*u(z). Determine y(d(g)).\nAnswer: -27*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -376, -373, -370?\n\"Answer: 3*o - 379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 = 22*w - 21*w. What is the greatest common divisor of w and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1514 + 1520. Let i(p) = p - 10. Determine i(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*g - 42*g - 3*g**2 + 18*g + g**2 to the form b + m*g + a*g**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a, -5*p + a - 42 = 58. Let c be (0 - -1) + p\/(-10). Solve -c*x = -5*x - 2*q, q = 5*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3430?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.72193362 times 2\nAnswer: -1.44386724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 2*o)*(16825*o**2 + 17540*o**2 - 13629*o**2) in the form q*o**2 + i*o + j + b*o**3 and give b.\nAnswer: 41472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h - 8 = -a - 13*h, 0 = 4*a + 2*h - 62. Let i be -3*2*2\/(-12). Let p = i + a. What is the least common multiple of p and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 121770614 and 518.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16496 or 16498?\nAnswer: 16496","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35030*z + 17523*z + 17575*z + 2.\nAnswer: 68*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 51 = -5*f, 0 = 4*f - 3*f - 4*n + 9. Solve -5*y - f = -12 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 5*m**2 + 6*m + 1. Suppose -3*k - 24 = k. Let v(r) = -9*r**2 - 11*r - 2. Determine k*v(j) - 11*y(j).\nAnswer: -j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -59*n**2 - 44. Let f be (-152)\/32 + 9\/12. Let b(x) = -58*x**2 - 44. Let c(y) = f*k(y) + 5*b(y). What is the first derivative of c(q) wrt q?\nAnswer: -108*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 100*r**3 - 2*r - 1. Let u be k(2). Suppose 3*p = -x - u, x + 521 + 804 = -5*p. Let d = p - -644. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70793 to the power of 1\/2, to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 484430 is divided by 1179.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 - (-4 + 4))*1. Suppose 0 = -w*b - 2*l + 117 - 21, -b + 24 = 4*l. Suppose 4*q - b = 20. Does 11 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, f: 2}. What is prob of sequence nnn?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 * -2265.\nAnswer: 135.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, -1\/21, 4\/11?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -8*j - 44. Let k be n(-6). Which is the biggest value? (a) -4 (b) k (c) 0 (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 118 = u, -5*m = -9*u + 5*u + 367. What is the lowest common multiple of 14 and u?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d, 1 i, and 1 y when four letters picked without replacement from {y: 1, d: 7, i: 5}?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 + 9*q - 3. Suppose 0 = -0*m - 2*m + 26. Let v = -5 + m. Let x be l(v). Solve -3*w - 8 = 4*f, -x*w + 9 = -4*f + 1 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 323 = -665. Suppose -346*r + l*r = -72. Is r even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*d + 54 = -45 - 18 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 537 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -326*q**2. Let m(u) = 3*u**2. Give m(v(a)).\nAnswer: 318828*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3873)\/(-9037) - (-34)\/(-14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 8843 = -4*g + 10951, -24743 = -5*g - k. What are the prime factors of g?\nAnswer: 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 7 - 3)*(-d**2 + 4*d**2 + d**2) + (-2*d**2 - d**2 - d**2)*(-4 + 3 + 2) - 2*d**2 + 0 + 0.\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of w**6\/120 + w**5\/6 + 11*w**4\/24 + 3*w**3 + 1728*w**2. Determine x(-8).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37615 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 0.3023?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - d + d)*(-5 + 1 + 5) - d + 12 + 16 - 1.\nAnswer: d + 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 i when three letters picked without replacement from iiacjcciiaii.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*(7\/35 + (-4)\/70). Let i be 2 + 18\/(-5) - -2. Which is the closest to i? (a) h (b) 0 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7)\/(35\/(-20)) - 19. Which is the second biggest value? (a) 3 (b) -2 (c) j (d) 2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19 by 9765.\nAnswer: 19\/9765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.049 - 9.951. Is y smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3421 = -20*z + 4379. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 686615 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f**2 + 7*f + 5. Let r(o) = -o**2 + 4*o + 2. Let t(n) = 7*r(n) - 4*w(n). Differentiate t(u) wrt u.\nAnswer: 10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3637 = -17*m + 17834. Suppose t - 5*h - m = -2*h, -2*t = 2*h - 2566. What is the thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 4, -2497, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 - 4*g)*(g + 3*g - 5*g + (-2 - 2 + 8)*(-g - 3*g + 5*g) + 0 + 0 - g).\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 6*z**2 + 16*z - 23. Let j be p(-12). Let s = -425 + j. Does 35 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -8*l - 5. Let x(k) = -k - 1. Let o(s) = 5*x(s) - y(s). Let i(r) = 224*r. Let v(n) = 13*n. Let d(c) = 2*i(c) - 36*v(c). What is o(d(u))?\nAnswer: -60*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from avvvvvvv. Give prob of picking 1 a and 1 v.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 4:45 AM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 d, and 2 a when four letters picked without replacement from {d: 1, u: 3, y: 3, a: 2, w: 6}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 6:03 AM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 11:52 AM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25936 - 15260. What are the prime factors of b?\nAnswer: 2, 17, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -50, -2 in decreasing order.\nAnswer: -2, -4, -5, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 4:40 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 + -0.7. Let b = 14347.1 + -14347. What is the closest to b in -1\/5, 1\/6, v?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3132, 3131, 3140, 3165, 3212?\n\"Answer: b**3 - b**2 - 5*b + 3137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) 9 (c) 0 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2439885 and 28.\nAnswer: -68316780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*w + 2829 = -771. What is the least common multiple of 16 and w?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 5*y - 4*d, y - 6*d + 4*d - 11 = 0. Calculate the smallest common multiple of (0 + -6)*(-2 + 1) and y.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 15 - 3. Let p be -28*((-72)\/14)\/g. Calculate the greatest common factor of p and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 4*k - 15. Let v be 1 + (0 - 0\/k). Let t be (0 - 2)\/(v\/(-16)). Solve -5*u - t = 5*n - 2, u + 4 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 598113797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 7*h + 122. Determine w(-18).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10591 = -2*r - k, -2443 = -3*r + 5*k + 13450. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43273?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**4 + 7*z**4 - 4*z**4 - z + z - z**4 + (z + z + 0*z)*(-z**3 - 4 + 4) + 3 + 349*z**4 - 723*z**4 + 365*z**4.\nAnswer: -10*z**4 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that p**2 - 2996*p - 2997 = 0.\nAnswer: -1, 2997","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**2. Let o(d) be the first derivative of -d**2\/2 - 4. Determine o(c(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 1 + (14 - (27 + -12 + -1))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 4*k - 10, k = 4*d - d. Let p(v) = 249*v**2 - 2*v + 1. Let w be p(d). Calculate the remainder when (-3)\/((-12)\/w*1) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2 + 62*d + 60.\nAnswer: 2*(d + 1)*(d + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllhllhlhh. What is prob of picking 2 l?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57828, -57335, -56842?\nAnswer: -56349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*p + 10*p - x - 4, 4*x - 18 = -5*p. Let n be 2\/(-3)*(2\/(-4) + 2). Let b be (-6*5)\/3*n. What is the greatest common divisor of p and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*s**2 + 4*s - 70 wrt s?\nAnswer: -6*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 2. Let f be p\/(-6) + 126\/4. Let n = 43 - f. Is n a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 + 10*w + 1. Let r = -41 + 29. Let u be (18\/(-4))\/(6\/r). What is the units digit of k(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 25 = w - 3*w, -256*w = -257*w + 6*a - 38 for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -1637*f**2\/2 - 890*f + 898. Differentiate v(t) wrt t.\nAnswer: -1637","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 111 + -73. Suppose -5*k - g = -179 + 9, k = -g + r. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -78*t - 45*t - 20*t + 5*t to d + s*t and give s.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1068 + 1094. Suppose -5*k + 22 - 7 = 0. Suppose -d = l - 17, 2 = l - 3*d - k. Calculate the remainder when u is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-75)\/(-60)*20)\/((-1050)\/(-84)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 95 (b) -2\/17 (c) -0.6 (d) -0.113\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - -4)\/(-2 + 7). Let g be (-658)\/141 - (-1144)\/231. Which is the nearest to z? (a) 0 (b) 1\/5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/102 and 64\/33?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, k: 1, b: 2, s: 1, i: 1}. Give prob of picking 1 s and 2 o.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/(t*t*t*t**(-2)\/t*t))\/t)\/t)**(5\/2)\/(t*t*t**(-2)*t)**(-3))\/((t**(-3\/5)\/t**(-8))\/(t\/t**(1\/3)*t)**8) assuming t is positive.\nAnswer: t**(59\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -314, -629, -944?\n\"Answer: -315*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1135660359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + (-1)\/(-1) + -5. Let b be 6 - 2 - (y - -8). Find the first derivative of 0 + 2*i**4 - b + 3*i**4 wrt i.\nAnswer: 20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*t + 1566 - 1566.\nAnswer: 26*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -191616, -191611, -191606, -191601?\nAnswer: -191596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -21*w**4\/4 - w**2\/2 + 3*w + 22. Let y(v) = -3*v + 13. What is y(m(u))?\nAnswer: 189*u**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 AM and 10:00 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 - 8*w + 53. Let z be l(-12). Solve -25 = 5*d - z*a, -4 = d + 3*a + 1 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -3*i + 10. Let o(z) = z**3 + 7*z**2 - 7*z + 11. Let x = 0 + -8. What is the remainder when i is divided by o(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - 3*n - n)*(n - n - n)*(6 - 6 - n).\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (2*(2 + sqrt(612)) - sqrt(612)) + 4)**2 - (-4*-1*sqrt(102))\/(sqrt(6) + (sqrt(6) + sqrt(150))*1).\nAnswer: 752*sqrt(17)\/7 + 693","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 765.4207 litres in millilitres?\nAnswer: 765420.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 1:31 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 2\/35 (b) -0.07 (c) 1 (d) 0.3 (e) -3 (f) -2\/747\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v - 32 + 11 = 0. Let k = -4 - v. What is the units digit of 21\/(-14)*2\/k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 65 + -62. Solve 4*m + 5*x + 16 = 2*m, -c*m - 4*x = 17 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that c**3\/2 - 383*c**2\/2 + 7835*c - 28308 = 0.\nAnswer: 4, 42, 337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-7) + (-1 - -1). Let q = 2 - -9. Let k = 13 - q. Which is the smallest value? (a) i (b) -2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3944401?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 4:08 AM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 + -10. Let d = u + -4.9. Let o = 2.02 + -0.02. Which is the closest to d? (a) -2\/7 (b) 0.1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 568*a + 2861. What are the prime factors of z(-5)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 165*t + 3643. Give o(-22).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*h - 20*h - 15*h - 22*h.\nAnswer: -40*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 50 = -4*y, 5*w - 4*y + 85 - 30 = 0. Suppose 3*j - 44 = -j. Calculate the remainder when w*((-4)\/3 - 0) is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -1\/3*v**3 + 9*v + 0 + 0*v**2. Let s(o) = 20*o**2. Calculate s(z(m)).\nAnswer: 80*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/7 or -609034?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*w + 156*w = -112 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 12*v**2 - 3*v + 27. Calculate d(12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 + 8*a - 6. Suppose -5*v - 14 + 44 = 0. Suppose -v*g - 130 = -11*g. Suppose -6*p + g = -16. Determine d(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 + 4*u + 3. What is the remainder when 14 is divided by r(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22*8\/(-6)*33\/(-88).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k + 3*k - 7 + 0*k**2 + k**2. Let g(i) = i - 3. Let l be g(-4). List the prime factors of c(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(2\/(-5) + 63\/70).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/3 - 1180*x\/21 - 16.\nAnswer: -2*(x + 84)*(7*x + 2)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 2. Is 3 + l + 41 + 0 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.54153 rounded to 1 decimal place?\nAnswer: -18.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -4*g**2 - 256*g - 4096 = 0.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -66, -9, -3, -4 in decreasing order.\nAnswer: -3, -4, -9, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-54)*-5*9\/30.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69711?\nAnswer: 3, 19, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/2 of a millimeter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/30 + 124\/(-155). Let r = 2 + -1. What is the closest to r in -1\/5, 3, p?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -14. Suppose -4*b = -2*s - 6, 0*b = -2*b + k*s + 1. Suppose 0*z = -b*z + 5*g + 484, z = 2*g + 241. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -15*u**5\/4 + 561*u**4\/4 - 2181*u**3\/2 + 2994*u**2 - 2712*u + 672 = 0.\nAnswer: 2\/5, 1, 4, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44 (base 5) to base 14.\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164 is divided by 41.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -a1336?\nAnswer: -a1337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**3 - 4*i**2 - 2*i + 1. Let s be x(-2). Let b = -469\/3 - -157. Are s and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -0*u - u. Solve 5*b = 3*h + u, -2*b - 2*b + 20 = -4*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 84?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -630 + 604. Let w(a) = 69*a**3 - a**2 + a - 1. Let m be w(1). Let x = j + m. List the prime factors of x.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 2*l + 1. Suppose 2*v = -3*q + 11, 0*q + q = 3*v. Suppose 6 = -q*x + 5*x. What is the remainder when x is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*((-249)\/81 - (-3 + 0))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94576.\nAnswer: 2, 23, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.5 + 6.2. Which is the closest to 0.024? (a) 0 (b) g (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(20\/4))\/((-4)\/((-16)\/2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(182)\/(sqrt(112)*3))\/(sqrt(16)\/(sqrt(1152)*-3 - sqrt(8))) + 3.\nAnswer: -37*sqrt(13)\/12 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2 - 273998*h - 18768726001.\nAnswer: -(h + 136999)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 7*q - 4. Let x(l) = -3*l + l**2 - l - q*l + 6*l + 3. Let d be x(2). Solve -4*t = -d*t + 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1919636569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 + 48 = v. Suppose j - 107 - v = 0. Suppose 3*k + 66 - j = 0. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 124 + -126.96. Let o = q - -154.96. Let m = o + -152.000063. What is m rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 7.04. Let t = y - -0.46. What is the nearest to -1 in 0.1, -0.5, t?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525.774 meters in millimeters?\nAnswer: 525774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.2 (b) -7 (c) -3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 9:03 PM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 8841?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4144362559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 508 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -2*n - 2 + 11, -w + 3 = 0. Let y be 2*n*(-26)\/12. Suppose 0 = -2*f + 10, 0*c - 2*c - f = -y. What is the third smallest value in -3, c, 1\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 3*f. Suppose 0 = 5*b - 4*b - 4. Suppose 7*x - b*x - 120 = f. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1774874 plus 3.159?\nAnswer: 1774877.159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.053712 rounded to four dps?\nAnswer: 0.0537","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.4 - -4?\nAnswer: 11.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - d**2 - 3*d + 5. What is the remainder when f(-4) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 0*m = 5*l + 1823, -5*m = l + 352. Let i = 525 + l. List the prime factors of i.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1286084601?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 7*g**2 + 4*g**2 - 10*g**2)*(-2*g**3 + 8*g**3 - 2*g**3).\nAnswer: 4*g**5 + 16*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(((-16)\/832*-13)\/(-5))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 16\/(-2) + -3 + 1. Let d = 4 - h. Suppose -4*n + 54 = -d. What are the prime factors of n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*s = 60*s - 4*m + 164, 5*s - 4*m = 178. Is 38 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, c: 1, f: 3, w: 1}. Give prob of sequence cfqf.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28857455 is divided by 29?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 780 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/(l**(-4)\/l))\/l)\/l)**(22\/3))**(-15) assuming l is positive.\nAnswer: l**(-440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -28. Calculate the highest common factor of 7 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 11*r + 26. Let l be x(-2). Let c be (-11)\/(33\/(-24)) + l. Solve 5*z + 4*k = c, -3*z + k + 6 = 3*k for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -3, -0.02, 19.5, 1.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ijj when three letters picked without replacement from jjiiijiiiiiijiijiiii?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*d**2 - 106 - 84 - 2*d**2 - 5*d**2 - 9*d**2 + 28*d**2.\nAnswer: 5*d**2 - 190","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 4 = 5*v. Let l be (v - (-6)\/9)\/((-4)\/(-42)). Suppose x = 3*n - 17, -2*n - 2*x + 3 = -x. Solve -5*g + 2*r - l = -2*r, 0 = n*r - 12 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13722890380+-0.5\nAnswer: 13722890379.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7757 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -0.08, -3890\/471?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5723 divide 210218140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 21*n + 31*n)*(-31 - 9 + 9).\nAnswer: -1612*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 20 = 5*v, -3*v = 4*x - 7*v + 16. Suppose x = -2*f, f + 110 = 3*t + 2. What is the highest common factor of t and 108?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 - -96. Let q be ((-1)\/4)\/((627\/2640)\/(-19)). What is the highest common divisor of o and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**3 + 0*j**3 + 0*j**3)*(-3*j**2 + 0*j**2 + j**2) + 205*j**4 - 205*j**4 - 15*j**5 - 2*j**4 + 2*j**4 - 2*j**5.\nAnswer: -21*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2630 a factor of 2666620295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + -1*1)*-2. Suppose f - r*f = -3. Calculate the remainder when 1*-2 + 2 + (-2 - -7) is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5.1, 840, 13\/4, -16\/3 in decreasing order.\nAnswer: 840, 5.1, 13\/4, -5, -16\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33139?\nAnswer: 31, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 724*l - 722*l - 14 = -4*o, 25 = 2*o - 5*l for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 592673192 to the nearest integer?\nAnswer: 840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 4*c**2 + 3*c - 1. Let h be t(4). Round h to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3638*j**2 + 2518*j - 2?\nAnswer: -7276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 131822?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3577 divided by -9?\nAnswer: -3577\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-2)*0 + 9. Let t be (-8)\/(-36) - 2\/x. Suppose -2*n + 5*o = -23, -2*n + 16 + 13 = o. Solve 2*b + 4*r + 6 = t, r = -4*b - n - 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2 + 3*t - 2*t - 3*t. Let v be x(-3). Let d(f) = 1 + v*f + 12*f - 2*f. Calculate d(-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 462678.6 litres?\nAnswer: 462678600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3)\/8 + 0 + 186\/(-1008) and -95\/108?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 838240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26102 + 41165. What is v rounded to the nearest one hundred?\nAnswer: 15100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*w + 43*w = -70*w + 276 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 + 14915250?\nAnswer: 14915392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 254, 1022, 2304, 4100, 6410, 9234?\nAnswer: 12572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 0.248705.\nAnswer: 0.746115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 811084?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -1\/16*f**4 - 3\/4*f + 1\/8*f**2 + 24 + 1\/4*f**3. Factor a(t).\nAnswer: -(t - 3)*(t - 1)*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9539.71873 + 9540. Round g to 3 decimal places.\nAnswer: 0.281","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2c5 + -56?\nAnswer: -34b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1510881\/7 - 214124. Let r = s - 1720. Calculate the common denominator of 52\/11 and r.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 1)*(24467*p**4 + 12091*p**4 - 21615*p**4).\nAnswer: -29886*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.5, -2\/7, 2, 20252\/9, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - d**2 - d. Let n(l) = 35*l**3 - 2*l**2 - l. Let q(a) = n(a) - 2*r(a). Determine q(1).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, s: 4, c: 1}. What is prob of picking 4 s?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -4*s**2 - s**2 + 4*s**2 + 0*s**2 - 10 + 8*s. Let t be f(7). Is 442 + 40\/(-12) + t\/(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2. Let w(u) = 478*u - 717. Let h(x) = x - 1. Let b(k) = -717*h(k) + w(k). Calculate b(t(s)).\nAnswer: 239*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2245*m = 2225*m + 140 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 12*q**2 - 2860*q - 1 - 10*q**2.\nAnswer: 2*q**2 - 2860*q - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-20)\/(-36))\/(7700\/924))\/(2\/(-774)*3).\nAnswer: -43\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6, -3, -24, -63, -126, -219, -348?\n\"Answer: -q**3 - 2*q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 203701022?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.9 less than -20574714876?\nAnswer: -20574714883.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 3:44 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 5*l**3 - 10*l**2 + 44*l - 19. Let q be x(5). Calculate the highest common divisor of q and 672.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91009765.\nAnswer: 5, 7, 11, 97, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 769207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13401, 13412, 13445, 13512, 13625, 13796?\nAnswer: 14037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1107227501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 2*s - 9, -2*s - 2*a = 2*a. Let n(l) = -13*l - 4. Calculate the remainder when n(-3) is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3442?\nAnswer: 2, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13472212.\nAnswer: 2, 13, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 150 + -97. Let g = -32 + i. Suppose 0 = j + 2*j - g. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.935679us in minutes?\nAnswer: 0.00000021559465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 2:07 AM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -524, -13, -72?\nAnswer: -524","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + 312\/(-165))\/(224\/(-35) - -7). Let z = 0 + 0. Let n = z + -1. What is the closest to -1\/3 in n, 2\/15, f?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*t = -42*t - 670. Suppose f = 2*c + c + t, 4*c = -3*f + 337. List the prime factors of f.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -132, -131, -130, -129, -128, -127?\n\"Answer: d - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -467995 or -68?\nAnswer: -467995","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -10 + 2. Let d be (k\/(-14))\/((-6)\/12). What is the second smallest value in -3, 0.3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -3\/2*d**2 - 10 + 9*d. Does 7 divide x(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 77 + 6 + 17 = 0. Suppose 4*b = 5*k - 7, b + 3*b + 4*k + 52 = 0. Let j = b - l. Solve 2 + j = n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r**2 - 8*r - 6. Let x(a) = -a**2 + a + 7. Let p be x(4). Let g be p\/(10\/(-8)) + -12. What is the tens digit of v(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 403 is divided by 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 1 + 5*z**2 + 4*z**3 - 5*z - 2*z**2 - 3*z**3. Let q be a(-4). Suppose -b + q*b = 12. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 200662488?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3\/5 + 27*t**2\/5 - 9*t + 21\/5.\nAnswer: -3*(t - 7)*(t - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i**5\/i*i))\/i*i\/(i**4\/i)*(i**(2\/7))**(2\/3))**(-2) assuming i is positive.\nAnswer: i**(328\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1093 + -1089. Solve 0 = 4*a + 33*i - 28*i - 45, v*a - 15 = i for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2556820 by 5.\nAnswer: -511364","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -18*i**3 + 25*i**2 + 56*i - 113. Is u(-17) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2391 + 0.2391. What is the nearest to -1 in 15, -1\/5, w, 1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 equal to 530\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1114493 is divided by 359.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 9 - 1. Suppose d - 79 = -p*v, 0*v - 5*v = -5*d - 235. What is the highest common factor of 28 and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6017*d + 6096*d - 790 = 0 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, 0.02, 4, 1.1, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323459 is divided by 107815?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -237*m - 5. Is n(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - 685*u + 125383. What is t(150)?\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3*k = 3343, 6*r - 3*r = -k + 2504. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 + 28. Suppose -2*f = l - 7, p*f + 5*l - 21 = -0. Calculate the highest common divisor of f and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010060 rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -3*p - 1. Let o be k(-6). Let b = -1022\/9 - -116. What is the common denominator of b and (o\/8)\/((-6)\/(-8))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 376 - 348. Find the common denominator of 14\/k + ((-692)\/48 - -2) and 47\/108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**4 + 9*z + z**3 - z**4 - 2759*z**2 + 5531*z**2 - 2761*z**2 to the form n*z + y*z**4 + r*z**2 + s*z**3 + i and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25 + 2000035?\nAnswer: 2000104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011100 - -1?\nAnswer: -10011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -26, -48, -68, -86, -102, -116, -128?\n\"Answer: x**2 - 25*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220171 is divided by 54873?\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2008015 by -5.\nAnswer: 401603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 50*n**2 - 2762*n + 3348.\nAnswer: 2*(n - 54)*(25*n - 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -41834894 - 2627?\nAnswer: -41837521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 41. Suppose -3*p + 0*p + 142 = 4*b, p + 4*b = k. Does 9 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 204*t + 90. Let i(p) = -p**2. Give u(i(y)).\nAnswer: -204*y**2 + 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 + 4*z + 4. Let l be j(4). Suppose 8*k + 0 = 24. Solve 3*q = 5*a - 0*q + 17, k*a + 16 = -l*q for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + g = -2. Suppose 3*i - 3*m - g*m = 1171, 2*m + 1977 = 5*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 15.2. Let s = 1.99 - -3.01. What is the closest to 1 in s, z, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26131 = -15*i + 22*i. What is the hundreds digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, h: 8}. Give prob of picking 2 r.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 7*k - 6. Let y be i(-4). Let l = y - 4. Suppose -6680243 - 16119757 = l*j. What is j rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263484 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 21930061 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 6*f**3 - 19220*f**2\/3 + 1709512*f + 380208 = 0.\nAnswer: -2\/9, 534","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14 - (-8 - 0)) + (-2)\/(36\/(-102)). Let c = 7 - 7. What is the closest to c in l, 0, -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 77 - 95. Let i be 6\/r*3 + (-10)\/1. Which is bigger: -43\/4 or i?\nAnswer: -43\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31.1007 + -2.9687. Round z to the nearest integer.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -0.2 (b) -4.8 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pgbuduwudupbu. What is prob of picking 2 d and 1 g?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/3479 in 6, 21, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.343804 rounded to zero dps?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -111*c - 3. Let b be p(-2). Suppose 3*u + 2*v - b = 0, -5*v = u - 4*u + 198. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*a**2 + 27*a**2 - 4*a**2 + 31*a**2.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -60677.\nAnswer: 7\/60677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.576 + 12.612.\nAnswer: 11.036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 + 13*d - 46. Determine c(9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18744.721 rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, m: 13}. Give prob of picking 2 r.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 9:30 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 997180 - -5491?\nAnswer: 1002671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -104 + 107. Let h = -4 + 7. Let n(d) = h*d + 2*d - 4*d. What is n(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2306808 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m - 9. Let v be t(-3). Is 753*((-24)\/9 - v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 0 - (9 + 1). Let q = 21 + g. Let h(d) = 3*d + 7. Let k(r) be the second derivative of r**3\/3 + 2*r**2 - r. Determine q*k(f) - 6*h(f).\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 643625 - 3*(-5 + (-6)\/(-2)). Suppose 0 = 32*v + 27*v - b. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 42.83919 to one decimal place.\nAnswer: 42.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 20217, 20155, 20093, 20031, 19969?\n\"Answer: -62*n + 20279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50249729 is divided by 268.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 24*i. Let o be t(0). Solve o = -154*l + 146*l + 8 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 907?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2444044 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 16, 40684 in decreasing order.\nAnswer: 40684, 16, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1247 + 2336 = q. Let d = 5220 - q. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/40149 and 68\/136053?\nAnswer: 202310811","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -282, -285, -290, -297, -306, -317, -330?\nAnswer: -345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 375218, 749837, 1124456?\nAnswer: 1499075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -8*p - 71. Let q(v) = -2*v**2. Give q(n(k)).\nAnswer: -128*k**2 - 2272*k - 10082","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80\/18 + (-2255)\/(-495) + -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 68*j**2 + 5 + 13.\nAnswer: 68*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 408*z - 5136 + 1056 = 0. Solve -z*s + 239 = 259 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(-1\/2)\/c*c**2\/c)\/(c**(-2\/7)*c\/((c\/c**(2\/3))\/c)) assuming c is positive.\nAnswer: c**(5\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 14*j**2 - 312*j + 2. Let y be q(-26). Solve 0 = -i + y*o, -27*i - o = -31*i - 7 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + b - 36 = 0, -1483*g + 3*b - 40 = -1481*g for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*s + 25*s + 33*s)*(s**2 + 6 - 4 - 4) to the form r*s + g*s**3 + o + j*s**2 and give r.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8065.\nAnswer: 5, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -6*i + i + 974, -3*i + 591 = -4*d. What are the prime factors of i?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 26112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*t**5 - 11152*t**4 - 8068*t**3 + 179608*t**2 - 261872*t + 49440 = 0. Calculate t.\nAnswer: -309, -5, 2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 27*k**2 + 790*k + 245. Let f(g) = 13*g**2 + 396*g + 122. Let r(u) = -13*f(u) + 6*y(u). Factor r(m).\nAnswer: -(m + 58)*(7*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5787.62 + 5867. Let q = l + 1.62. Let a = q - 81.5. What is the third biggest value in a, -1\/5, -5, 4\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 434 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 217, 338, 351, 256, 53, -258, -677?\n\"Answer: -54*z**2 + 283*z - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 4, -0.8, 1\/3 in ascending order.\nAnswer: -0.8, 1\/3, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -f + 3. Suppose 49 = 5*k - 56. Let l = k + f. Is 5 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -16*r + 4. Let s be g(-2). Let y be 31\/6 - 6\/s. Let d = -4 + 4. Solve -i = -p - y, -i - 15 = 3*p - d for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -126 times -635\nAnswer: 80010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 15 = -9*v. Let g = -3198 + 3196. Let h be (1 - -2)*16\/120. What is the nearest to 0.1 in g, h, v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 0.017?\nAnswer: 0.068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 145875 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fsssffrfsfsffr. What is prob of picking 1 f and 3 s?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1824*s**3 + 1991*s**3 - 3834*s**3.\nAnswer: -19*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j - 54 + 8*j + 43 + 54 - 4*j in the form d + x*j and give d.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 + (-4 - (-20 - 14))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 164768, 166252, 168726, 172190?\n\"Answer: 495*m**2 - m + 164274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 17*g**2 - 9*g - 8. Let f be h(-1). Let z be -18*(-1)\/((-2)\/(-3)). What is the highest common divisor of z and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 291982812?\nAnswer: 2, 3, 11, 41, 53951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -55 - -54.9999952. Round d to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*r = 180*r + 504 + 776. Let g(p) = 4*p**2 + 49*p + 92. Calculate g(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 106.12 - 3.62. Let c = x - 102. What is the nearest to -0.1 in c, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 2*c + 40. Suppose 74 = -18*m + c*m. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7\/5 of a milligram?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -107471, -107675, -107877, -108077, -108275?\n\"Answer: b**2 - 207*b - 107265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -741*v + 427*v + 430*v - 2.\nAnswer: 116*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 3*i - 3*i)*(4*i - i - 5*i) - 2*i**2 + 6*i - 5*i - 6*i.\nAnswer: 2*i**2 - 5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 87194643.1 to the nearest one hundred thousand.\nAnswer: 87200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = r + 74, 2*r - 44 = 2*g - r. Let y = 461 + -479. Which is greater: y or g?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 * 21.91.\nAnswer: 1.3146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*w - 9*w - 12. Suppose 5258 = w*h - 4900. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1425, -1472, -1519, -1566, -1613?\nAnswer: -1660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1359 - -1428. What is the highest common factor of 6 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31806 = -31*a + a - 24*a. Is a a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 26. Let l = b + -19. What is the units digit of (-21)\/((-4)\/((-16)\/l))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 230 - 471*q**3 + 162 + 240 + 526*q**3 - 632.\nAnswer: 55*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + j + 1 = -a, -2*a + 2*j = 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 1049645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -s - 3*s + 2*r, 5*s - 18 = -2*r. What is the derivative of -23 + 18*t**4 - 90*t + 90*t + 19*t**s wrt t?\nAnswer: 148*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539)*1 + sqrt(19))**2 + (6*(sqrt(19)*2 - sqrt(19)))**2.\nAnswer: 2584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -163536 divided by 4.\nAnswer: -40884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -5*n + 3. Let v = n - -6. Let a(g) = -g**2 + 5*g + 2. What is the units digit of a(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a*a**(-7\/4)*a**(-2) assuming a is positive.\nAnswer: a**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o - o - 2*o)*(o - o + 2*o**2)*(0 - 1 - 2)*(12 - 36 - 14) to n*o**3 + w*o**2 + v*o + q and give n.\nAnswer: -912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.99417ns in milliseconds?\nAnswer: 0.00009899417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 664781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -5*j**2. Let i(d) = d - 4. Let z be i(6). Let k(w) = -3*w**2 + w + 4*w**z - w. Give k(t(b)).\nAnswer: 25*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*r - 4*r + 2*r + (-2*r + 0*r + r)*(-3 + 3 - 2) - 8*r + 10*r + 1 + 3 to s*r + i and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + 28 - -9 - (10 - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -337.859 + 338. Let d = 0.14112 - x. Round d to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1272*i**2 + 382*i**2 + 640*i**2)*(-3*i + 2*i + 5*i).\nAnswer: 9176*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -821, -3277, -7373, -13109?\n\"Answer: -820*n**2 + 4*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 4*m**2. Let l(x) = 1491*x - 71. Let q(c) = 62*c - 3. Let w(n) = -3*l(n) + 71*q(n). Calculate w(a(v)).\nAnswer: -284*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/27199 - 2801365\/3590268. Let h = -17980\/9 + 2001. Find the common denominator of h and i.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -25013, -100044, -225095, -400166, -625257?\n\"Answer: -25010*i**2 - i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -813*z**2\/4 + 12205*z\/4 - 75\/2 = 0 for z.\nAnswer: 10\/813, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -19*x**4\/4 - 2*x**3\/3 - 13*x**2\/2 - 94. Find the third derivative of j(g) wrt g.\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i + 2*t + 25, -i + 0*i = -18*t - 87 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(8\/(-4)))\/(8\/(-8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 62 in -0.02, 3, 0.4, 1\/16578?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -208 (b) -1.48 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1064 and 21?\nAnswer: 3192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-6)*6 + 6. Suppose 7 = -d*h + 22. Suppose -5*i + 3*i + f + 63 = 0, -h*f = -4*i + 117. What are the prime factors of i?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3*k + 2*g + 15, 3*g = 3. Suppose k*t + 99 = -99. What is the remainder when ((-7092)\/t)\/6 + (-4)\/(-22) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-5\/4))\/d*d*d*d)\/d*d*d*(d\/(d*d**(-1\/6))*d)\/d*(d\/(d\/(d\/d**(-1))))\/(d**(-3\/7)*d) assuming d is positive.\nAnswer: d**(575\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/765*34*1\/1)\/(108\/(-30)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence imdq when four letters picked without replacement from {d: 6, i: 4, q: 1, m: 3}.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149 = -4*t - 0*t + a, 9 = 3*a. Find the common denominator of 2 + (1 - 5) + 70\/t and (-2)\/(-3) + (-68)\/66.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4844901 + 4?\nAnswer: -48448b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8439?\nAnswer: 3, 29, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 4 - 3)*(-4 + 2*d + 4) + 0*d - d - d - 3*d - 2*d + 7*d + (-2 + 2 + d)*(1 + 2 - 2) + (-4*d - d + 6*d)*(0 - 4 + 1) to a + l*d and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 178168655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -274 - -276. Suppose -c + 8 = -4*z, -2*c + o*z = -2 - 2. What is the nearest to 1 in 4, 1, 5, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 5*h + 34, h - 2*t = t - 18. Let m(g) = g**3 + 6*g**2 + 4. Let i be m(h). Suppose 0 = n - 3*n + 30. Solve -d + i*d = n for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2 - j.\nAnswer: -j*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/(-36))\/(2 - 11\/6). Let z(d) = -3*d**k - 3*d**2 - d**2 + 3*d**2. Let f(n) = 4*n. Give f(z(x)).\nAnswer: -16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -201661 + 337212. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8948.761 meters in millimeters?\nAnswer: 8948761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41408?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -388 + 396. Solve -v - 7*v - n = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 40 = -7*d + 2*i, -43*i + 51*i + 70 = -2*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f - 12. Let g(p) be the third derivative of p**4\/4 + 10*p**3 - p**2. Let h(b) = 2*g(b) + 11*v(b). Let y(l) = -4*l. Let k be y(0). Calculate h(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vmvvvmkvvmvk. What is prob of picking 2 k?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (4*5*(sqrt(684)*2 + sqrt(684))**2 - (-3 + 1*(sqrt(684)*2)**2)).\nAnswer: 120388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(240) + sqrt(240) + 2*sqrt(240) + sqrt(240))\/((sqrt(432) - sqrt(432)*-2 - sqrt(432))*-3 + -2*(sqrt(432)*-1 - sqrt(432))).\nAnswer: -5*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/256 and -29\/1024.\nAnswer: 1024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 6*j - 3. Let c(l) = -111*l - 563. Let q be c(-5). Calculate o(q).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1184, 1832, 2480?\n\"Answer: 648*w + 536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*h**3 - 2*h**2 + 19*h**3 - 6*h**2 - 11*h**3.\nAnswer: 16*h**3 - 8*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17087614?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2280678823 <= -2280678822?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -739284*-0.5\nAnswer: 369642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 17\/4 + 4\/(-16). Suppose 0*s - 520 = -u*s. Let o = s - 93. What is the greatest common divisor of o and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4.8 or 4394?\nAnswer: 4.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1206 and 1639557.\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 44a06a - -59?\nAnswer: 44a118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14160.46173 + 14131.46173023. Let h = 0.69 - -28.31. Let t = h + k. Round t to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 115129, 230242, 345355, 460468, 575581, 690694?\nAnswer: 805807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11314, -11669, -12260, -13087, -14150, -15449?\nAnswer: -16984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00071029 to 5 dps.\nAnswer: 0.00071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1 and -30109374053.557.\nAnswer: -30109374053.657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7121407138 to the power of 1\/2, to the nearest integer?\nAnswer: 84388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 10010101101110101111111 (base 2) to base 4\nAnswer: 102231311333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 634?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 - 25. Solve 4*s - l = -i + 5, 41 = -5*i + 4*s for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11328 - 11327. Are d and -1\/167 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 418 a factor of 25199943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/2, -0.4, 5, 586?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.2944 to 0 dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a second in milliseconds?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.34763 plus 213.411?\nAnswer: 291.75863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -53 - -60. What is the remainder when (0 - (3 + -2))*-27 is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6793630 divided by 1358726.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -270 - -275. Let b(c) = c**2 - 3*c - 7. Let i be b(d). Solve -j = i*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228 is divided by 40.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 24*p**2 + 18*p - 48. Give s(23).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -70 - 22*f + 63*f - 78 + 248 - 67 to c*f + z and give z.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w**3 - 15*w**2 - 19*w - 6. Let q be a(-6). Suppose 0 = -6*z + z - 4*l + 1540, q = -5*l. Is 44 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/50 and -77\/20?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**4 + 0*c**4 - 5*c**4 + (c - c - 2*c**3)*(3 + 2*c - 3) + (0 + 2*c**2 + 0)*(-6*c**2 + 2*c**2 + 3*c**2).\nAnswer: -11*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -7879.286 to the nearest integer.\nAnswer: -7879","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/13, 5371, 2\/9, -0.5, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 7 = g. Suppose -w - g = 2*w + 4*y, 16 = -4*w - 2*y. Let x = -0.4 - -0.7. Sort w, 5, x in descending order.\nAnswer: 5, x, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17657 + -17901. Is q greater than or equal to -243?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(171) - (0 + sqrt(171)))*5 - sqrt(171))**2.\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -4*z**2 + 6*z - 14\/3*z**3 + 11. Factor b(m).\nAnswer: -2*(m + 1)*(7*m - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/14, -1684, -3025?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 25*a + 27. Give u(24).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(2\/6*-1). Find the third derivative of 14*a**3 - 8*a**3 - 8*a**2 + a**z wrt a.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 678 + 11617. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/((45\/(-25))\/((-5148)\/(-660)))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/16 + (-2)\/(-8). Which is greater: l or -0.13?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29561 and 1148.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1465 (base 11) to base 5.\nAnswer: -30021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4397031 divided by -3.\nAnswer: -1465677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 5*m = -20, 3*m = 3*w + 4*m - 12. Factor -10*f**3 - 9 - 10*f**w + f - 3*f**5 + 11 + 4*f.\nAnswer: -(f + 1)**4*(3*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178767 is divided by 101?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -1. Let a be -2 - (-2 - 8\/m). Solve 0 = -2*x + x - 2*y - 6, 5*x + 24 = -a*y for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 6. Let z(y) = -3*y - y**2 - 9*y - 8 - r. Is z(-10) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 627*y - 1. Let a(u) = 1232*u. What is w(a(k))?\nAnswer: 772464*k - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 78 divided by -5607\nAnswer: -26\/1869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.74735 to zero dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2051, -1469, -497, 865, 2617, 4759?\nAnswer: 7291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (sqrt(99) + -1*sqrt(99))\/sqrt(9) - (-2*sqrt(11) + sqrt(11))*5)**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-1)*25\/(-2100)*14*-6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 12\/35081?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13749170599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wddd when four letters picked without replacement from {w: 9, d: 11}?\nAnswer: 99\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + i + 7 = -9, 5*p = -3*i + 32. Let k(f) = 8*f + f + 0*f + f + 1. What is the tens digit of k(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 83490 and 367818.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-146)\/(-10) - (280\/56 - 54\/10).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8068 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + sqrt(68)*-2 + sqrt(68) - sqrt(68)) + sqrt(68) + 1 - (4 + sqrt(68))*-4)**2.\nAnswer: 272*sqrt(17) + 1377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008387 rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/9*(-16836)\/1403.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0983 and -0.144124?\nAnswer: 0.0141673892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + 3\/9*-3. Suppose 3*w - 5*v - 24 = 0, y*w + 4*v - 5*v = 24. Solve 3*k - 4 - w = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3 + 3431*d**2 - 201521*d + 2934249.\nAnswer: (d - 29)**2*(d + 3489)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0940381 rounded to three dps?\nAnswer: 0.094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2122, 2191, 2318, 2497, 2722, 2987, 3286, 3613?\n\"Answer: -s**3 + 35*s**2 - 29*s + 2117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68)\/(2*sqrt(2)))\/(sqrt(128)*-2))**2.\nAnswer: 17\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -400\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1886770673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 252 + -260. Let f(n) = -14*n - 106. Let k be f(p). Solve 2 = -k*b + 14 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - ((10 - -6) + -26)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 5*j - f - 0, -3*f = -5*j + 35. Suppose -j = -5*d + 15. Suppose -5*t + 5 + d = 0. Solve -4*i + 6 = -t*l, -3*l + 0 = -4*i + 1 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 + 24. Calculate the least common multiple of 2 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 7*t**2 - 100*t - 3. Calculate i(14).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 588 is divided by ((-25)\/10*79\/10)\/((-288)\/2304).\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 4*u + 4672. Let y = u + 1454. List the prime factors of y.\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -1714?\nAnswer: -1\/1714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 113, 184, 253, 320?\nAnswer: 385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 52786754?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 735543.8 millilitres to litres.\nAnswer: 735.5438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -15. Let q(m) = -m**3 + m**2 - m + 2. What is q(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32295, 128915, 289955, 515421, 805319, 1159655, 1578435?\nAnswer: 2061665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(80) + 0) - sqrt(80) - (sqrt(80) + (sqrt(80) - (sqrt(80) + -3 + sqrt(80) + 0)) + sqrt(80))) + 5)**2.\nAnswer: -64*sqrt(5) + 1284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.381 and -0.7231?\nAnswer: 0.9986011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a microgram in nanograms?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -7*m + 2. Let b(v) = -14*v + 3. Let y(j) = 6*b(j) - 13*r(j). Let w be y(2). Solve 3*x - w + 3 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3391*y + 723*y + 2095*y - 63*y.\nAnswer: 6146*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-6))\/((24\/66)\/(12015\/297 - 41))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4 + 4)*(-2 - 1 + 0)*(-k - 7*k - 8*k)*(-1484 - 1491 + 2947).\nAnswer: 4032*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1158701\/148 or 7828?\nAnswer: 7828","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.835 - 2.6. Let x = u + -123.235. Let s = -122.09 - x. Round s to one dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10860 + 10864. Solve -t*g = -5*y + 2*y + 1, 5*g - 2*y + 3 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -836217*c**4 + 435025 with respect to c.\nAnswer: -3344868*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - (1 + 2 + 0)) + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2050 (base 6) in base 7?\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 147*o = 134*o + 42, -7 = t - 4*o for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11567?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2723191*d**3*k**2*y - 9*d**3*y + 4*d**2*k**2 - d*k**2*y + 2*d*k**2 - 10*d*k*y + 2*d*y + 8*k**2*y - 51*k*y wrt d.\nAnswer: 16339146*k**2*y - 54*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 x when two letters picked without replacement from {f: 2, x: 1, w: 3, m: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -497, -1070, -1713, -2432, -3233, -4122?\nAnswer: -5105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -28479*p - 33. Let h(q) = 3559*q + 4. Calculate -33*h(b) - 4*u(b).\nAnswer: -3531*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 456*c = 150*c + 2142. Calculate the highest common divisor of 5 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 550665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 28. Let j be ((-1)\/(15\/12))\/((-6)\/u). Solve -7*b = -j*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + i + 46. What is x(-10)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 20 + 35. Let b(n) = n**2 - n - 1. Let p = 12 + -10. Let i be b(p). What is the greatest common divisor of i and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1848*z**3 + 34*z**2 + 86151*z - 2 wrt z?\nAnswer: 11088*z + 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1072624304.\nAnswer: 2, 31, 2162549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 43030 a multiple of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3201 (base 4) to base 12\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4 + sqrt(704) + 3) - (0 + (sqrt(704) - (4 + (4 + sqrt(704))**2 - sqrt(704) - sqrt(704)))).\nAnswer: 24*sqrt(11) + 726","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -52*g**5 - 62*g wrt g?\nAnswer: -1040*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of w**6\/180 + w**5\/90 - w**4\/18 + w**2\/2 - 2. Let c(u) be the second derivative of k(u). Factor c(g).\nAnswer: 2*g*(g - 1)*(g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(1700) + -2*sqrt(1700)))**2.\nAnswer: 6800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -9*q - 9. Suppose 4*b - 24 - 8 = i, 4*b - 3*i - 40 = 0. Let s be (9\/3 - 2)*b. Let d(z) = -4*z + 85 - 90 + z - 2*z. What is s*d(j) - 4*l(j)?\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00010168616 to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 2\/75135 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206*q = -668*q + 7274 + 14787 + 1501 for q.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2608268 millilitres in litres?\nAnswer: 0.0002608268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1584*o = 2*d - 1579*o - 4, -20 = 2*d - o for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2488862, -4977710, -7466558, -9955406?\n\"Answer: -2488848*i - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*x**2 + 19 - 39 + 20.\nAnswer: 50*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1008 + -107?\nAnswer: 801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21525 and 75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 14*p**2 - 5*p**2 - 8*p**2 + 0*p**2. Let r(y) = 12*y. What is l(r(d))?\nAnswer: 144*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 69 = 14. Let r be (-132)\/(-9)*(-3)\/(-2). Calculate the greatest common factor of s and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.07 and 0.4.\nAnswer: 0.428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0245 - 0.7585. Let t = 0.68 + v. Let u = t - -5.054. Which is the closest to -1? (a) u (b) 1\/4 (c) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 91 = 14. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, r: 1, d: 1, h: 1, e: 1, m: 1}. What is prob of sequence hm?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 1006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -182*k + 1 - k**2 - 11*k - 162*k - 4*k to y*k**2 + u + a*k and give a.\nAnswer: -359","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -708 - -0.0319\nAnswer: -707.9681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1400\/(-880)*22\/(-20). Suppose 3\/4*o - l*o**3 + 3\/4*o**4 + 3\/4*o**2 - 1\/2 = 0. Calculate o.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -2*q + 27. Solve -q*r - 6 = 2*s, -2*r = 5*s + 12 + 11 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-4*(0 + sqrt(108) + -4 + sqrt(3) + -2 - (sqrt(12) + sqrt(12)*-1)*-2))**2.\nAnswer: -1344*sqrt(3) + 2930","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of -122*d**3\/3 + 454*d**2 + 1563*d. Differentiate k(r) wrt r.\nAnswer: -244","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.5 or 0.38?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 232049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-8700)\/(-1950))\/((-4)\/(-26))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s - 55*s**3 - 2*s**2 - 105 + 0*s**2 + 55 + 41 + 2*s**4 + s**3 to d + r*s**4 + x*s + k*s**2 + p*s**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**5\/7 - 2*w**4\/7 + 146*w**3\/7 - 694*w**2\/7 + 1248*w\/7 - 792\/7 = 0. What is w?\nAnswer: -11, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -178 + 324. Let v be (c\/(-4))\/(68\/(-136)). What is the greatest common divisor of 803 and v?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 993.\nAnswer: 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -488.\nAnswer: -1\/488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -15*w**3 - 6*w + 15*w**3 - 124*w - 6*w**3 + w**3 - 135*w**2 = 0.\nAnswer: -26, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 10311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i - 2*i + 4*i + 0*i + 3*i - 2*i - 3*i + 2*i + 0*i + (-4 + 0 + 2)*(-5 - i + 5) - 5*i - 2*i + 6*i - 2*i - 1 + 1 + 2 - 2 + 2*i + i - i + 2*i.\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -21*i*r**2*w - 2*i*w + i + 94*r**2 wrt w?\nAnswer: -21*i*r**2 - 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 33*n - 38*n + 3*m, -3*n - 7 = -m for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28.9 + 0.1. Let r = 26.5 - y. Let d = r - 2.5. What is the second smallest value in d, -5\/4, -1?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.3 + -8. Let b = 9 - 6. Let t = -3.2 + b. What is the biggest value in t, -0.1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.28, -2, 1, 5, -2\/35?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l + 4. Let t be f(0). Let p(j) be the first derivative of -4 - j**3 - t*j + 0*j + 7*j. Factor p(h).\nAnswer: -3*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -91021*v - 91019. Give n(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*t - 45*t**2 - 48 - 3 - 45 - 55*t**2 + 4*t + 3*t**3 wrt t.\nAnswer: 18*t - 200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**4 + 79*t - 79*t)*((3 - 4 + 0)*(-5 - 21 + 3) - 10 - 7 - 12 - 8 - 7).\nAnswer: 84*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -10*z**2. Let x(p) be the first derivative of -11*p**3\/3 - 10. Give 7*n(r) - 6*x(r).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + (-2 - -2) - -11) + 29 + -32.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + m - 7, 4*q - 10 - 8 = -2*m. Find the second derivative of -34*l + 12*l**2 + 2*l**2 - 21*l**q wrt l.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 85*g**4 + 537*g**2 + 342127 wrt g.\nAnswer: 340*g**3 + 1074*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -3494\/7 in descending order.\nAnswer: 1, 0, -3494\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -80975, -118178, -155379, -192578, -229775?\n\"Answer: l**2 - 37206*l - 43770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 5*p - 135, -4*p + 0*s = -s - 97. Solve 0 = 3*a + 5*n - p, 0*n = 2*a + 2*n - 10 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 25 = 368. What is the remainder when s is divided by 37\/(-148)*4*-27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25803.\nAnswer: 3, 47, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111295 is divided by 27737.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 90*d**5\/7 - 3945364*d**4\/7 - 2454920*d**3\/7 - 350704*d**2\/7 = 0.\nAnswer: -2\/5, -2\/9, 0, 43838","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 19080*s**2 + 4*s + 4. Let c be f(-1). Let b be 30\/(-1)*c\/(-54). Round b to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*t**5\/3 - 91*t**4 - 48*t**3 - 20*t**2\/3 = 0 for t.\nAnswer: -5, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -10. Let x(o) = o + 7. Let j be x(i). Suppose 4*s + j*g = 218, 2*g + 309 - 50 = 5*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -261 or -1\/3638?\nAnswer: -261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and 1029441644.\nAnswer: 1029441643.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 36*q**2*t**3*u + 2*q**2*t**2 + 618*q**2*t*u - 7*q*t**3 - 2*q*t**2 + 2*t**3*u wrt t?\nAnswer: 216*q**2*u - 42*q + 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 9*t - 2 = 0. Suppose 84 = -2*w - 4*v + 32, -5*v - 56 = t*w. What are the prime factors of ((-6)\/w)\/(2\/258)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -74144.8+203\nAnswer: -73941.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25700311 is divided by 6425077.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.2 * 0.0091.\nAnswer: -0.02002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -22138, -88895, -200238, -356167, -556682, -801783, -1091470?\n\"Answer: -22293*t**2 + 122*t + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide ((-15)\/80*-108)\/((-6)\/(-32))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -740200 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-2*sqrt(117)*5*1)\/(sqrt(1089)*2 - 3*sqrt(54)\/sqrt(6)).\nAnswer: -10*sqrt(13)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 11*o**4 - 5*o**3 + 3*o**3 + 6*o**4 - 3 as r + s*o**3 + b*o**2 + v*o + p*o**4 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -140 + 142. Suppose m*j - 51 = s, -125 = 11*j - 16*j + 3*s. Calculate the remainder when 100 is divided by j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b**3 + 262*b**2 - 181*b - 129. Calculate d(-88).\nAnswer: 311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2064569012 by -44.\nAnswer: 46922023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 + 75 = 19*c - 33 - 363 for c.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*q + 810*q + 97*q + 448*q.\nAnswer: 1218*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -9*r**3 - 1. Let w be h(-1). What is the tens digit of 1\/2 - (-132)\/w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - u**2 + u + 5. Let j be s(0). Let z = -985 - -988. Suppose 4*a + 16*a = -9*a - 58. Put j, z, a, 2 in descending order.\nAnswer: j, z, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**2 - 567940*f = 0 for f.\nAnswer: -141985, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.45857 rounded to two decimal places?\nAnswer: -8.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82, -980, -3436, -8230, -16142, -27952, -44440?\nAnswer: -66386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 19 + 5 = m, -5*m + 3*z = -120. Suppose -m*t + 2451 + 2037 = 0. Calculate the remainder when t is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15016163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 9660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -82*s**3 + s**2 - 5*s - 5. Suppose 5*n + 30 = -4*g, 5*g + 0*g = 5*n - 15. What is the tens digit of p(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4433 (base 7) in base 10?\nAnswer: 1592","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u - 18. Let v be j(-14). Let n be 4\/(-6) + v\/15. Find the third derivative of n*w**6 + 0*w**6 - w**2 - 2*w**2 - 6*w**6 wrt w.\nAnswer: -720*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 344951207?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49630 to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 17304280 to the power of 1\/2, to the nearest integer?\nAnswer: 4160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 931 or 6508\/7?\nAnswer: 6508\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + -13. Factor -2*u**2 - 2*u**2 + u**2 - u**3 - w*u.\nAnswer: -u*(u + 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1020204 and 16?\nAnswer: 4080816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**4 + l**2 - l**2)*(-402*l + 349*l - 731*l + 3205*l + 1746*l).\nAnswer: -12501*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express r**3 + 2 + 1650*r + 1665*r + 812*r**4 - 3313*r - 2*r**2 in the form v + b*r**2 + y*r + k*r**4 + p*r**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - (-2 - -57))\/(-1). Let g(s) = -69*s - 5 + 0 + f*s - 46*s**3. Let w be g(-5). Round w to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 6 = -4*q + 2*o, 3*o + 6 = 0. List the prime factors of (4 + 19)*(-4)\/q.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r**2 + 1. Let h be z(1). Suppose -h = -3*b + 2. Suppose 4*x - 2*j - 48 = 0, 8*x - 56 = 4*x - b*j. List the prime factors of x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/(-4)*(-7)\/(-35)*10. Suppose -1180269 = 5*b + c*k + 1969721, 0 = -4*b - 2*k - 2519996. Round b to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 1:05 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52\/364*28\/(-40)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 100 - -817. What are the prime factors of y?\nAnswer: 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -431 = -6*d + 649. Suppose 0 = -4*t, 2*h + h - d = 4*t. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.06, 4, -9223?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 1 = -w - 2*k, -34 = -2*w + 5*k. Suppose 59 = 4*r + w. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 14) in base 16?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of 593*d**4\/2 - 2*d**3\/3 + 885*d + 3210. What is the first derivative of m(f) wrt f?\nAnswer: 3558*f**2 - 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 2, 3\/14, -4\/7, 15 in decreasing order.\nAnswer: 15, 2, 3\/14, -0.5, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2.301044ml?\nAnswer: 0.002301044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*g - 5*g - 16. Suppose 3*t + 71 - 548 = 0. Suppose t = 7*y - g*y. Is 16 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4425, -4432, -4443, -4458, -4477?\nAnswer: -4500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2333 is divided by 587?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 AM and 7:04 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -25, -54, -83, -112, -141?\n\"Answer: -29*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*s**2 + 3*s**2 - 12*s**2)*((4 - 4 - 1)*(7*s - 3*s - 2*s) - 2*s + 0*s + s) + (0*s - 2*s**2 + 0*s)*(s + 0*s - 2*s).\nAnswer: 47*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 4:26 AM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = 7*m - 50 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p + 41. Let q be i(13). Let g be (q - 3)*(-6 + 5)*5. Solve 0 = -g*d - 7 - 8 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - 840*q + 17596. Give m(22).\nAnswer: -400","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1021202200010 (base 3) in base 8?\nAnswer: -2470403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of 1\/12*q**3 - 136 + 19\/8*q**2 + 0*q. Suppose o(a) = 0. What is a?\nAnswer: -19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 10. What is the units digit of r + 24 + 3\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2 = 4. Suppose 2*s - 4*s = -3*z - 20, -2*z = c*s. Suppose 14 + 58 = s*f. What is the highest common divisor of f and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 6*g**3 - 40*g**2 - 18*g + 21. Let l be j(7). Let r(y) = -y + 4. Let c be r(4). Sort c, l, -2.\nAnswer: l, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-seven fifths of a litre?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 5*a**2 - 6*a + 6. Let j be r(-8). Suppose 223 + 15 = 7*g. Suppose -2*v + g = -j. What is v rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 174, 524, -1, 12, 4.\nAnswer: -3, -2, -1, 4, 12, 174, 524","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*d - 12 - 80 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-10)*28\/(-6)*1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = f + k, f + 10*k - 9 = 14*k for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 25733 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (1155 - 1171) + (1 - 1) + -15\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0238202 rounded to five decimal places?\nAnswer: -0.02382","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2998*j + 1572*j + 2427*j)*(6 - 2 - 2)*(4*j + 2*j - 3*j) as p + b*j + m*j**2 and give m.\nAnswer: 6006","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*o - 30686 + 13431 = 0 for o.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.59 - -3.31. Let d = n + 1.1. What is the nearest to 1 in -1, d, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 3*l + 3 - 12 = 0, 2*l + 13 = -5*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 86394 and 1722.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -9 - 7*g**2 - 51390*g**3 + 0 - 5*g - 2 - 7. Let y = -100 + 94. Let m be s(y). What is m rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 5*s - 45, -2*k + 2*s = -k - 8. Let r(w) = -3*w**2 + 30*w + 3. Let a be r(k). Solve g - a*g + 6 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/(-35) - (-16)\/7. Suppose 0 = r*w - 6. Suppose w*u + 24 = n + 2*n, -3*u - 12 = -n. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.3 + -0.3. Let g be (6\/4)\/(-3) - -1. Which is the nearest to g? (a) h (b) 0.4 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97376 is divided by 143.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1293 = -307*r - 856 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5362251 (base 7) in base 6?\nAnswer: -22003140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 16 = 4*r, 0 = -4*t + 2*r - 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.332 + 0.168. What is the third smallest value in 2, -2\/3, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a gram in milligrams?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 at most as big as 4.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - m + 126. Suppose -6 + 0 = 2*i. Let p be (0\/(i - -4))\/(-1). Let g be h(p). Calculate the highest common factor of 18 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/36)\/1*-2\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-20)*r*r**(-28)*r*r)\/(r*r**22*r*r**(3\/8)) assuming r is positive.\nAnswer: r**(-555\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.18 + -0.1. Let r = -84.2 - -84.1. Sort r, 0.04, c in descending order.\nAnswer: c, 0.04, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -243*r - 440. What is the units digit of o(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 3. Let p = 5 + -3.6. Let l = 1.7 - p. Which is the closest to s? (a) -5 (b) l (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*j + 2318 = 198. Calculate the remainder when j is divided by 32.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/2 - (7 + 624\/(-66)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - i = -258. Let x = i + -81. Suppose x*l = 6*l - 4. Calculate the highest common factor of 28 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - 17*v - 39. Calculate k(-12).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-6))\/(12\/60*(-160)\/(-128))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of -3*o**6\/20 - o**5\/20 - o**4\/3 - 5*o**3 - 24*o**2. What is the hundreds digit of z(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 1 - (24 + -43 - -22).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33538197419 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.251 - -1.049. Let z = x - 1.7. Sort -1\/5, z, -52 in descending order.\nAnswer: -1\/5, z, -52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/40 - 9\/40. Let v be (-436)\/1800 - (-8)\/36. Which is the biggest value? (a) y (b) v (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1769 is divided by 193.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 514400 rounded to the nearest 10000?\nAnswer: 510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of 5*c**4\/12 + 35*c**3\/6 + 10*c**2. Differentiate u(x) wrt x.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003332 rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 82397a - -19?\nAnswer: 823997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -127 - -126.9999874. What is y rounded to six dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -0*n + 3*a + 46, 4*n - 5*a = 92. Suppose -4*q = 2*j - 634, 19*q - 4*j - 342 = 17*q. Calculate the highest common divisor of n and q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1780, -2, 32 in increasing order.\nAnswer: -2, 32, 1780","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*j - 108*j = 144. Suppose -47*u + 51*u - j = 0. Solve u*d - 4 = -2*k, -k + 3 = 4*d + 1 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5394.585 rounded to the nearest one hundred?\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 221, 214, 205, 194, 181, 166?\nAnswer: 149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 687734353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -4*d**2 - 2*d + 4. Calculate o(3).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -7*j + 1. Let w = -4 - -6. Let t(o) be the third derivative of -7*o**4\/8 + o**3\/2 - o**2. Let u(g) = w*t(g) - 7*c(g). What is u(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 11919*g + 38. Is i(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 30*d + 1169. Calculate s(-39).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11835 and 12783115?\nAnswer: 1315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-4\/7)*a*a**(-4)*(a**11)**24 assuming a is positive.\nAnswer: a**(1823\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 10)*3\/12?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**2 + 13*r**2 - 312351 - 624*r**3 + 312351 - 15*r**2.\nAnswer: -624*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -47, -11, 4, -167 in increasing order.\nAnswer: -167, -47, -11, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a**(-3\/4)*a*a)\/a))\/(a\/(a*(a**11\/a)\/a))*a**(5\/3)\/(a\/(a\/a**27)))**(-37) assuming a is positive.\nAnswer: a**(6919\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**4\/11 - 14*c**3\/11 + 12*c**2\/11 + 64*c\/11 - 64\/11 = 0. What is c?\nAnswer: -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1281858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 244 and 220.\nAnswer: 13420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13830, 27676, 41522, 55368, 69214?\nAnswer: 83060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 10 = -y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -7. Let n = -1076 + 1080. Solve p - n = -d for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 466, 375, 278, 175?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by (1 - -10)*(2\/2 + 1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-12 - -7 - 2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2896475168?\nAnswer: 2, 90514849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 174?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1823, -3649, -5475, -7301?\n\"Answer: -1826*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z - 84 = -33*z. Suppose 2*w - z*j - 1 = -3*j, 3*w + 3*j + 3 = 0. Which is the nearest to w? (a) -12 (b) -3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {t: 2, w: 1, y: 4, h: 6}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 3 = -4*m, d = 2*m + 701. List the prime factors of d.\nAnswer: 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g\/((g\/(g\/g**(1\/44)))\/g)*g)\/g)\/g)\/(g*g*g\/(g*g*g*g**(-2)*g)*g))**(-2\/11) assuming g is positive.\nAnswer: g**(1\/242)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 681.7 - 622. Round k to the nearest integer.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21607295?\nAnswer: 5, 113, 167, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -91*d**2 + 17022*d - 939. Determine b(187).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-21)*8\/4. Let v = 0.1 + -0.2. Do v and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 12 (b) 0.2 (c) -9 (d) 2\/7 (e) 124 (f) -22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b**3. Let a be d(1). Suppose -74 - 193 = -a*z. Let s = z + -23. What are the prime factors of s?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -r**8\/105 - 2*r**5\/15 - 28*r**3\/3 - 25. Let d(v) be the third derivative of m(v). Find the second derivative of d(o) wrt o.\nAnswer: -192*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*v + 8242 = 125*v. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244 is divided by 69.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**3 - 3*i**2 + 2*i. Let l(b) = b + 5. Let s = 2 - 5. Let c be l(s). Let d be (2 + -5)\/((-3)\/c). What is r(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 0 + 2*l + 2 - 2 + 2 + 20*l**2. Suppose 0 = -4*j + 16, -c = -7*j + 2*j + 22. Does 20 divide q(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**(-30)*a)*a)\/a**(2\/9)*(a**(1\/4))**(1\/4) assuming a is positive.\nAnswer: a**(4297\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 2964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -171919 or -171906?\nAnswer: -171906","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2320397 times -0.2?\nAnswer: -464079.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -821*84.4\nAnswer: -69292.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 0 + (-96 - -106)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1984 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - o - 4 = -2*v, 5*v + 3*o = 6. What is the common denominator of 123\/50 and ((-376)\/(-12))\/(-4 - v)?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (88*a**2 - 1518 + 12*a + 1518)*(0*a**3 + 2*a**3 + 2*a**3).\nAnswer: 352*a**5 + 48*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 + 2*t**2 + 2*t**2)*(2*t - 4*t + 3*t) - 25*t**3 + 233*t**2 - 233*t**2.\nAnswer: -23*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2*m = -3. Suppose -5*x = -a - m*a - 2, -5*a + 2 = -4*x. Suppose x = 3*v - 25. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 (base 15) to base 10\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -338*q - 840*q + 97*q as g*q + c and give g.\nAnswer: -1081","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26.87*0.1.\nAnswer: 2.687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 212 - 213. Suppose -j - 10 = 2*k, -2*j - 2*k = -7*k - 16. Which is the closest to 0.3? (a) m (b) j (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 + 28588300151.\nAnswer: 28588300145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + 12*h - 5. Calculate u(-13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42953 is divided by 651.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -332 divided by 2.\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 204 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 4*s**2 + 4*s + 21. Let d be b(-4). What is the greatest common divisor of 15 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-2\/7)*x)\/((x\/x**(7\/2))\/x))\/(((x\/x**(-2))\/x)\/(x\/(x\/(x*x\/x**(-1\/12))*x)*x)))**50 assuming x is positive.\nAnswer: x**(9025\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -200 + 97. Let v = -23 - u. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10288 and 1.3?\nAnswer: 13374.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0361293741 to four decimal places.\nAnswer: -0.0361","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/17630987 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millennium in years?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y + 1. Let v(n) = -11*n + 26*n - 1 - 14*n. Let m(t) = b(t) + v(t). What is m(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2*sqrt(1280))\/((sqrt(10) - sqrt(10)*1)*6 + sqrt(10))*-4.\nAnswer: 192*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*h - 2*w = -21*h, -4*h + 35 = 3*w for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/71 and -115\/28.\nAnswer: 1988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 55\/4 of a minute?\nAnswer: 825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4*(0 + 2 + -3). Suppose z - f*i = 2*z + 13, 0 = 2*z - 5*i - 26. What is b in 3\/4*b + 1\/4*b**z + 1\/4 + 3\/4*b**2 = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32 - 32.056. Let q = h + 0.039. Round q to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129317 divided by 513?\nAnswer: 129317\/513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 11 = -3*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -51.5 + -158.5. Let a = k + 210.1161. Round a to three decimal places.\nAnswer: 0.116","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -1\/145, 12, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4*h - 3. Suppose 79*v = 76*v - 3. Let l be v + 14\/49 + 4\/(-14). Let z(m) = m - 1. Suppose -x + 25 = 4*x. Determine l*p(r) + x*z(r).\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 391 + -199. Suppose -b = 3*b - h. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 divided by -89?\nAnswer: -55\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -3*l - 22, 0*d - l = 4*d - 4. Suppose d + 4 = -3*o, 4*n + o - 14 = 0. Solve 5*j + 4*q = -7, 3*j = 4*j + n*q - 5 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-30)\/(-3))\/(-40))\/(-1).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h - 2*h + 0*h + 4*h - 5*h + 2*h + (4 + 0 - 3)*(h - 4*h + h) - h + 2*h - 4*h + 4*h - 58*h + 11*h.\nAnswer: -49*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -5*v**3\/6 + 23*v**2 - 17*v. Let b be q(8). Suppose 15 + 51 = b*o. Calculate the greatest common divisor of o and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -107 (b) 3\/4 (c) 3 (d) -8 (e) -0.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.8 - -4. Let t = -11 - -15. What is the second smallest value in -0.5, t, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 + 3195*n + 3198.\nAnswer: -3*(n - 1066)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14 - -10) + 42\/(-1). Let q = -19 - u. Let g = -71 + 101. Solve -5*w - 2*x = -g, -3*w + 0*w + q = 3*x for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 283866950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 184677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/35 + 1 - 87\/40. Which is greater: l or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrlrrrrr. What is prob of sequence rl?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -373189 smaller than -373190?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 11 = -4. Let g be (z\/(-9))\/((-3)\/153). Let w = g + -9. Is w a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1034*n = -1047*n - 403. Let f be 3 + (1 + 0)*-1. Find the common denominator of n and (f\/6)\/(6\/82).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -w**3*z**3 + 233*w**3*z - 5*w**3 - 12*w*z**2 + 2*z**3 + 6*z - 20 wrt w.\nAnswer: -6*w*z**3 + 1398*w*z - 30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 39759211 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 551030913?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.02 + 2.98. Let g = 0.47 - 0.17. Which is the second smallest value? (a) i (b) 0.4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 315560?\nAnswer: 2, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000008233162691 to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 11*x**2 + 8*x + 12. Let o(u) = -5*u**2 - 4*u - 5. What is 13*o(q) + 6*v(q)?\nAnswer: q**2 - 4*q + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 266 + -156. Suppose 3*g + t = 86. Let b(y) = -8*y - 46. What is the units digit of b(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/972*(-1296)\/(-1440)\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27941 - -36446. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rxa when three letters picked without replacement from wddwxxxxrxaxxx?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/3 - 10*n - 100\/3.\nAnswer: -2*(n + 5)*(n + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 2:43 PM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - j + 2. Let l be g(4). Let f(x) = 25*x**3 + 2*x**2 - 2*x - 1. Let d be f(2). Let m = -77 + d. Calculate the highest common divisor of m and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 553338 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**2 + 4157*t + 41713. What is x(-10)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2 - (-11)\/1)*109.\nAnswer: 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -4*z - 62968, -12199 = 5*z + w + 66504. Let k be 4\/(-14) - z\/(-252). Let v = -63 - k. What is the nearest to 1\/2 in v, 1\/5, 3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 6*s**2 + 5. Let c be d(-6). Suppose 0 = g - 0*u + 5*u - 8, -5*g = c*u - 80. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 65\/(-39)*((0 - -7) + -13)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, 20, 57, 104, 161, 228, 305?\nAnswer: 392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 501867274?\nAnswer: 2, 250933637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**3 + 197*o**2 + 13*o + 33. Let q(m) = -2*m**3 - 131*m**2 - 13*m - 33. Calculate 2*p(b) + 3*q(b).\nAnswer: -2*b**3 + b**2 - 13*b - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.227 + 144677309607?\nAnswer: 144677309606.773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 15165 divided by -3101?\nAnswer: -15165\/3101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 529 - 266 + 30*c**2 - 267 + 26*c = 0. What is c?\nAnswer: -1, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 - 1 + 1)*(-o**2 + o**2 - o**3) - o**3 + o - o - 3*o**3 + 6*o**3 - 4*o**3)*(75*o - 6*o + 46*o) as p + w*o**4 + b*o + a*o**2 + d*o**3 and give w.\nAnswer: -460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 0 - 1 + 1 + 2*p. Let z(c) = -47*c + 2*c**2 + 47*c - 3*c**2. Determine z(j(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + (-3 - 8\/(-12)). Let t = -5 - -9. Put 5, t, f in ascending order.\nAnswer: f, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (70\/125*570\/133)\/((-6)\/20)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1026, -2\/3, 0.3 in descending order.\nAnswer: 0.3, -2\/3, -5, -1026","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 192, 184, 164, 126, 64, -28, -156?\n\"Answer: -h**3 - h + 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 789473?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in twenty-five halves of a millisecond?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nyynynlyynpmynm. What is prob of picking 1 p and 1 l?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 73503 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 4*c**2 - 23*c - 101. Give l(-4).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 1:07 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 9. Suppose -2*j = c + z, -j + 4*c - 5*c - 2 = 0. Is (9 + -24)*11\/j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/10 in -0.3, -2, -1\/4, -3, 8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2 + 3 = -4*b, 3*b = 5*y + 43. Suppose 5*h = 4*w + 41, 0 = 4*w - 3*h + 2*h + 21. Let p = b + w. Calculate the remainder when p is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3809 divided by -293.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q - 2*f, -29*q + 18 = -33*q - 549*f + 548*f for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 100*z**3 + 16*z - 16. Let m = 2916 + -2900. Let d(u) = -33*u**3 - 5*u + 5. What is m*d(i) + 5*p(i)?\nAnswer: -28*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 plus -28.3577442?\nAnswer: -21.3577442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/18 + (-236)\/3. What is the remainder when 99 is divided by 2\/(5 - (-378)\/b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2058) - (sqrt(2058)*-2 + sqrt(2058))*-6)\/(((sqrt(288)*-4 + sqrt(288) - sqrt(288)) + sqrt(288))\/sqrt(3)).\nAnswer: 35*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 136 and 16524.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*5\/(-195))\/((-8)\/52)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xokyxxjjxyxkxjk. What is prob of sequence kkjo?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -9*q**2 - 16*q + 0*q**3 + 0 - 2\/3*q**4 - 1\/20*q**5. Is 9 a factor of y(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5554943?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**2. Let t(g) = 13*g + 24. Let f be t(1). Let k(x) = 21*x + 44 - 81 + 69*x + f. Give s(k(y)).\nAnswer: 16200*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.272, 37172, -4 in descending order.\nAnswer: 37172, -1.272, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 u when two letters picked without replacement from uauuuiuuuuioiaiiiu?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k + 1. Let g be r(-1). Suppose g*z = -4*t + 20, -4*t + z + 8 = -0. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 277409?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 6*x**2 + 35323*x - 3227674. Give t(90).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -12. Let n = p + 6. Which is the nearest to 3\/4? (a) 2\/17 (b) n (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2613)\/134 - 174\/(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 14236 = 4*i, i + 19000 = 5*n + 4761. What is the hundreds digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1829 - 1838. Which is the closest to 0.17? (a) 3 (b) f (c) -3 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9020b (base 13) to base 7.\nAnswer: 2121301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2062 * 4.\nAnswer: 8248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -11021, -22045, -33069, -44093, -55117, -66141?\n\"Answer: -11024*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1171 divide 23592137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - 3*n + n + n - 3*n + 3*n + (-3*n + 3*n - 2*n)*(1 + 2 - 1) - 2*n - n + 2*n + n + n - 3*n - 3 - 2*n + 3)*(11 - 9 - 17*n + 19*n).\nAnswer: -20*n**2 - 20*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 546972.6 litres in millilitres?\nAnswer: 546972600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000 + -1110010011001011101?\nAnswer: -1110010011001111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2198*x**3 - 849*x**3 - 57*x**3 + 119*x**3.\nAnswer: -2985*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that o**5\/2 + 613*o**4 - 1231*o**3\/2 - 2452*o**2 + 2454*o = 0.\nAnswer: -1227, -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g = 15*g - 32. Let j(h) = 2*h**3 - 21*h**2 + 14*h - 19. Let n be j(g). Which is bigger: -226 or n?\nAnswer: -226","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-1 + -1 + 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -5*n. Let y be o(-4). Suppose -5*j + y = 5, 3*g + 3*j = 51. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-24) - (-38)\/(-8). Suppose -2*d + 3 = -5. Which is the second biggest value? (a) d (b) -0.3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/20 and -33\/69910.\nAnswer: 139820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of -k**5\/30 - k**4\/9 - 3*k. Suppose b(x) = 0. Calculate x.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3 + 2416 + (-3 - 3) + 2.\nAnswer: 3, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 2, -146 in descending order.\nAnswer: 5, 2, -3, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -10.1 and 9429?\nAnswer: 9439.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 0*t**2 - 3*t**2 + 5*t**2. Suppose 3*m = 1 - 13, d = -5*m - 12. Let r(n) = 9562*n - 9562*n - d*n**2. Give o(r(u)).\nAnswer: 128*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from nnqngqmnnqgmngmmmb?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127296?\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**3\/2 + 28029*a**2 - 3*a\/2 - 28029 = 0. What is a?\nAnswer: -18686, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 3, 1, 57, 2 in ascending order.\nAnswer: -2, 1, 2, 3, 5, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -143, -141, -137, -131, -123, -113?\n\"Answer: h**2 - h - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5184 = 62*d + 386*d - 16*d for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*i - i - 2*i + 878811 + 311*i - 878811 + (1 - i - 1)*(1 + 2 - 5).\nAnswer: 314*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -143\/4*g**2 + 2*g**4 - 9*g + 117 - 140\/3*g**3. Let v(a) = 0. What is a?\nAnswer: -1\/4, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 2*z**2 - 9 - 32*z**2 + 35*z**2. What is v(0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y**2 - 2*y**2 - 4*y**2 + 3*y + 2*y**2 - 3*y + (-2 + 3 + 2)*(-2*y**2 + y**2 + 2*y**2) to the form u + z*y**2 + h*y and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 0 + 10*s - 3 - 2 - 2*s**2. Let v be 0\/(-1) - -7*1. Let g be i(v). Round g to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 80 - 61. Let n(r) = -r**2 + 20*r - 14. Let p be n(s). Suppose -3*a + 8*a = p*k - 935, 5*a = -20. What are the prime factors of k?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z - z + 2*z + 7*z**3 - 2*z.\nAnswer: 7*z**3 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 9\/2, 2\/7, 0, -3, -6?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 42, 35, 24, 9?\n\"Answer: -2*n**2 - n + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 96\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = o + 4 - 42. Suppose 0 = -5*i - 14 - 121. Let p = o - i. What is the greatest common factor of 38 and p?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-2))\/((-1)\/(-14)). Let x = 30 - o. Calculate the highest common factor of 138 and x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9466.\nAnswer: 2, 4733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 28 + (15 + -23 + -13 - -5)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -32 (c) 0.4 (d) -350 (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-363*q**2 - 86*q**2 + 70*q**2)*(-3*q - 2*q + 4*q) + 3*q**3 + 0*q**3 - 2*q**3.\nAnswer: 380*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 171523233 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -15 + a20?\nAnswer: a08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - 1. Let x(o) = 5*o**3 + 2*o - 1. Determine -6*c(a) - x(a).\nAnswer: a**3 - 2*a + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -4*m + 66. Let l be s(16). Suppose 2 = z, 12*z - l = 4*i + 15*z. Sort 1, -3, i, 3.\nAnswer: -3, i, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 5:30 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-16)*c*c*c*c*c\/c**(2\/3)*c)**(-44))**(1\/4))**42 assuming c is positive.\nAnswer: c**4928","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 94503.\nAnswer: 1\/31501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-63))\/((-118)\/(-8454)). Let o = -1\/177 + i. Suppose -14 + 14 = -20*q. Is q bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + r**2. Let g be d(-1). Let s be (-10)\/45 - (-148)\/18. Suppose -3*a = 5*h - 4*h - 20, 0 = -h + 4*a - s. Solve 2*l + g*l = h for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14785 (base 9) to base 5.\nAnswer: -310441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0*22\/440)\/2. Let w(d) be the first derivative of 0*d + 43\/5*d**5 + k*d**4 + 0*d**2 + 40\/3*d**3 + 21. What is the third derivative of w(r) wrt r?\nAnswer: 1032*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60531 (base 13) to base 2\nAnswer: 101010000011011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.935756 rounded to one decimal place?\nAnswer: 14.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j = 19*j - 3179578. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 756637?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*p + 12*p - 57831. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3075 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/40)\/((-5)\/(-20)). Suppose -4 + 0 = -u. Let a = -3053\/8 + 3051\/8. What is the nearest to a in j, 3\/8, u?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.044958319 rounded to three decimal places?\nAnswer: -0.045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-2))\/((-4)\/(-8)). Suppose -2*h = 3*l + 2*l - 710, m*l = -3*h + 417. What is the greatest common factor of 18 and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 5*m - 8. Find the third derivative of -2*b**m + 2*b**2 - 5 - 2 + 7 wrt b.\nAnswer: -48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-6\/7)*a)\/(a\/(a**(-9)*a)))**(-12\/11)*((a**(-2\/3))**(-1\/26))**3 assuming a is positive.\nAnswer: a**(9749\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -2*s + 14, p - 9 = 3*s - 2. Let z be (-2 - -2) + s\/1. Let t be 6\/39 - (-4 + 1043\/273). Is z >= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, c: 3, x: 6, s: 1, e: 3}. What is prob of sequence el?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*m - m. Suppose -m*p + 48 = -30. What is the greatest common factor of p and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1440, 5714, 12824, 22770, 35552, 51170, 69624?\n\"Answer: 1418*z**2 + 20*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b + 1. Let k be x(1). Let n be (-76)\/(-28) + 2\/7. Suppose -n*m + 2*m = -3*j - 19, k*m + 5*j = 57. Is 11 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 + -1.1. Let q = -3.93 + -0.07. Let x = q + 3.5. What is the biggest value in x, u, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 7*p**2 + 77*p - 259. Give y(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 h when three letters picked without replacement from {h: 1, u: 17}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r - 0 - 36. Let p be r\/(-14) + 42\/(-9) + 5. Which is greater: p or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ivuuzvssjjssji. What is prob of sequence uv?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of 3*n**5\/20 + n**3\/6 - n**2\/2 - 24*n. Let q(j) = j**3 + j - 1. Give -3*c(o) + 3*q(o).\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 5:56 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (559\/1677)\/(1\/(-42))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7\/412 - -377\/2060. Find d such that d - 1\/5*d**3 - 3\/5 - a*d**2 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m + 438. What is the remainder when w(-11) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence txh when three letters picked without replacement from {f: 2, h: 12, t: 2, x: 4}.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 61642 divided by -1258\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 6 - 407*y**3 + 0*y + 3*y**2 - 384*y**3 - 5*y. Let n(h) = 2*h + 10. Let i be n(-8). Let j be a(i). Round j to the nearest ten thousand.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/331 or 0?\nAnswer: 2\/331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, -4, 1673, 7 in descending order.\nAnswer: 1673, 7, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 8346.91509 to 1 decimal place.\nAnswer: 8346.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x - 24. Suppose v - 2*a = -6, -5*v = a + 34 + 40. Let d be g(v). Suppose -22*u**d - 3*u**3 + 22*u**4 + u**5 + 2*u**2 = 0. What is u?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 105 - 17. Let p = -5 + 12. Suppose a - b = -p*a. What is the remainder when 74 is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -80*k - 12. Suppose 4 = -o - 1. Let l be c(o). Let u = -4252\/11 + l. Calculate the common denominator of 50\/3 and u.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -208.07 + 210. Let l = v + -82.93. Let o = 81.000063 + l. Round o to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**2 + 0*z**2 + 0*z**2)*(z**3 + 0*z**3 - 2*z**3) + (2*z + z - 5*z)*(3*z**4 - z**4 - 4*z**4).\nAnswer: z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145 is divided by -8 + (-245)\/(-30) - 226\/(-12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 775 = -4*t - 3*m, -4*m = -2*t + m - 355. Suppose 845 = -0*a + 3*a + 5*r, a + 3*r - 283 = 0. Let g = a + t. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-195)\/(-2)*(-16)\/(-10). Suppose 5*j = -5*g + g + z, -12 = -3*j. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12727 divided by -5205.\nAnswer: 12727\/5205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*d + 114 = -142 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 4*h, -5*p = 4*h - 3*h. Suppose p = 2*d - 24 + 16. Suppose -967091 = -d*g + 1312909. What is g rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j + 19*j = 16. Solve 5*q = -2 - 3, j*a + 4*q + 16 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75183 and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 - o + (-2 - 3 + 6)*(5*o - 3*o - 3*o) + 1 - o - 1 - 18 + 336*o + 335*o - 670*o + 0*o - 2*o + 5*o.\nAnswer: o - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 303*t**2 - 233615*t\/3 + 514\/3.\nAnswer: (t - 257)*(909*t - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 2806542?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of 2*s**5\/5 + 9*s**4\/4 + s**3\/3 + 20*s - 75. What is the third derivative of i(g) wrt g?\nAnswer: 48*g + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2441*f**3 - 17*f - 68. Let m(v) = -814*v**3 + 6*v + 24. Determine 6*l(w) + 17*m(w).\nAnswer: 808*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 2.6. Suppose -f - 33 + 28 = 2*x, -3*f - 4*x - 7 = 0. Which is the biggest value? (a) 0.1 (b) f (c) l (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((-7)\/14 + (-1326)\/52)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10, 2\/25, -2, -30946?\nAnswer: -30946","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -0*a - a. Put a, 5, -9 in increasing order.\nAnswer: -9, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12\/7 + -122\/63. Let y = 3.1 + -1.1. Is f smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 141 and 19090131?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.30573 litres in millilitres?\nAnswer: 59305.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08474404572 to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 187385\/26 - 7206. Let g = 4051 - 72949\/18. Find the common denominator of v and g.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 0*y + 60. Suppose -5*a = l - y, 16 = 4*l + a - 6. Suppose -3*u + l*u - 20 = 0. Does 10 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42532412 (base 6) to base 3\nAnswer: -2100211110122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 91 - 109. Let w = s + 170. What is w rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 3*p = -2*n + 9, 2*n = -3*p - 11 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 43669509 and 17130.\nAnswer: 436695090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, q: 5, g: 2}. Give prob of sequence qq.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153*b = -149*b - 20. Let t = -1 - 0. Let r be (-1)\/(t\/b) + -2. Solve 5*j = -4*i + 31, -3*j + 3*i = r - 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 96633 or 289897\/3?\nAnswer: 96633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*x - 12, -3*w - 3*x = -12. Let j be (-2)\/(-7) + -183*w\/(-126). Let s(r) = -20*r**2 + 9*r. Let h(b) = 5*b**2 - 2*b. Give j*h(g) + 2*s(g).\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 7769.\nAnswer: 1\/7769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1768700 or -1768596?\nAnswer: -1768596","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -18, -5\/3, -0.3, -1?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 138 - 228. Calculate the remainder when (-12)\/2 + f\/(-2) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.1? (a) -0.1 (b) -5 (c) 5\/2 (d) -0.5 (e) -29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dn when two letters picked without replacement from {n: 4, i: 2, p: 1, d: 1, v: 3, o: 1}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rzwzbw. What is prob of picking 1 w, 1 r, and 2 z?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 13) to base 8\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 341*a - 7. Let h be i(11). Suppose 4*w - 3*f - f = h, 0 = -5*w - 2*f + 4708. Round w to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - b + 1. Let g be s(-4). Calculate the common denominator of 0 + 1 - g\/(-18) and 452\/(-16)*4\/(-14).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1550 and 1656 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 872 divided by -436\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4*q - 692 = -3*v, -q = 5*v - 881. What is the derivative of -797 - 873 - v*d + 1459 wrt d?\nAnswer: -177","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -5*o - 42, -3*q - 68 + 46 = -o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18948488, 151587872, 511609062, 1212702962, 2368560476?\nAnswer: 4092872508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 x when three letters picked without replacement from txxxxxttxt.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 5 = -5*a, g = -a + 61 - 53. Solve -i - g*p + 16 = 0, 2*p + 8 = -5*i - p for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 6*z**2 - 80*z + 5. Let m(y) = -y**2 + 16*y - 1. Let x(j) = -l(j) - 5*m(j). Let n(h) = 2*h**2 + 40*h. Determine n(x(r)).\nAnswer: 2*r**4 - 40*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - 7*r - 22. Let v be n(11). Suppose 0 = 8*z - v*z. Find the second derivative of 0 + z + 0*p**2 + 14*p**2 - 33*p wrt p.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/2)\/((-5)\/(-30)). Determine p, given that -2*p - 2*p - 3*p**r + p**4 + 3*p**4 + 12*p**2 - 9*p**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (1 - 1) - (-42 + 35).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3830576.\nAnswer: 2, 17, 14083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*n - 5*a, 23*a - 27*a = -4*n - 52. Let f(k) be the first derivative of k**2 + 6*k - 1. Calculate f(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 e when three letters picked without replacement from {n: 2, t: 7, a: 3, e: 7}?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(2\/9)*g)**11 assuming g is positive.\nAnswer: g**(220\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4 + 1 - 12 - 6 + 27*x - 5 wrt x.\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 29\/7*o - 99\/7*o**2 - 2\/7 = 0. What is o?\nAnswer: 1\/9, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33979210519 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*v - 7*v + 2256. Calculate the remainder when v is divided by 59.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 21*h**2 - 2*h - 8. Let r be f(-2). Let c = -74 + r. Suppose 5*d + 5065 = 5*i, 2*i + 2*d - c*d - 2034 = 0. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/210*(-20)\/(-2).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 f, and 1 m when three letters picked without replacement from {m: 8, w: 7, f: 1, v: 2}?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -6*o + 3*b + 255, -3*o + 256 = -2*b. What is o rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8644500 to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 462661 to the nearest integer?\nAnswer: 680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29489*i - 1 + i**4 - 29547*i + i**4 - 139*i**3 wrt i?\nAnswer: 24*i**2 - 834*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 750 divided by 15\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 1\/3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -59*i**5\/10 - 6*i**3 - 440*i**2 + 2. Differentiate s(l) wrt l.\nAnswer: -708*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 709561 >= 709552?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2842871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 494 + -498. Let o be (-2)\/x*(-9 + -3 + 2). What is the closest to 0 in o, 9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**5 - 2*q**5 + q**5)*(3 - 5 + 1) + 3*q**5 + 0*q**5 + 0*q**5.\nAnswer: 2*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 102*n + 68. Let x be b(-7). Let j = 208 - x. List the prime factors of j.\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*6*(sqrt(52) - sqrt(7488)))\/(sqrt(44)\/(sqrt(132)\/sqrt(588))).\nAnswer: 264*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/35 and 117\/490.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3 + (-8 + 8 - 7)*(-5 + 0 + 4))*((-6 + 4 + 3)*(-i + i - 2*i) + 2*i - 2*i + i).\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1696\/(-2703)*17)\/((-4)\/(-6)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*u + u. Suppose 0 = d + 3*s + 7, 3*s + 2 + 3 = -u*d. What is the third derivative of d*v + 2*v**5 + 3*v**2 - 2*v wrt v?\nAnswer: 120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -8508, -16664, -24098, -30450, -35360, -38468, -39414?\n\"Answer: 60*v**3 + v**2 - 8579*v + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 2:16 PM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 13154, -0.7, -3\/4, 0.1 in increasing order.\nAnswer: -3\/4, -0.7, 0.1, 13154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22280*x - 22606*x - 10758 = 0 for x.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - -1)\/(3\/6). Suppose 2*s = f*b, 3*b + s - 3 = 3*s. What is the third smallest value in -3, b, -0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -9704, -13734, -20474, -29918, -42060?\n\"Answer: y**3 - 1361*y**2 + 46*y - 8390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 89 and -2020190?\nAnswer: -179796910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11.027 + -3.973. Which is smaller: 5.4 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -38 + 37 + (-5 - 9).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -656 (base 9) in base 5?\nAnswer: -4122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -1\/12*r**3 + 0*r + 1\/8*r**2 + 3. Solve d(p) = 0 for p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h - 19. Let s(r) = -10. Let m(w) = -w**2 - 12*w - 9. Let o be m(-10). Let n(q) = o*s(q) - 6*u(q). What is the derivative of n(y) wrt y?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 0, 4708 in descending order.\nAnswer: 4708, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + 12*z + 9. Calculate the least common multiple of r(12) and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 27352737 + 6?\nAnswer: 27352744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 244 - 174. Let j = f + -31. Let r = 7 + j. Calculate the greatest common factor of 115 and r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*o - 5*g, -g - 5 = -2*o - 0*g. Suppose 4*a + 16 - 54 = -q, -4*a + o*q = -48. Calculate the greatest common divisor of a and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10652000 to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 5:51 PM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0\/(3 - 2))\/(-2). Suppose 3*k - 3*p - 141 = n, k - 220 = -4*k + 2*p. What are the prime factors of k?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - -11 - (3 - (5 + -9)). Suppose p - 5 = -3. Solve l - p = -j*i, -3*i = -0*i for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(320) + sqrt(25)\/sqrt(45).\nAnswer: -23*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9\/(-12) - (-115)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 192 and 1308?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i - 5. Let h be d(8). Suppose n - q = 6, 3*q - 2*q + h = 2*n. Let j be 27\/(-12)*4\/(-3). Sort -1, n, j in increasing order.\nAnswer: -1, j, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61194 is divided by 20361?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 4:55 PM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-2\/5))\/x*x**(-1\/4))**(-35)\/(((x\/x**(2\/3))\/x*x\/(x**(-2\/11)*x)*x)\/((x**(-2\/9)*x)\/(x*x**(1\/5)))) assuming x is positive.\nAnswer: x**(-12251\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/56*5591 + 2. Let g = -773\/8 + c. Find the common denominator of g and 2\/(16\/5)*9.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 7 = -13, -2*k = -4*m + 2*k. Let c(p) = -2*p + 3*p**2 + 21 + p**3 - 10 - 14. What is c(m)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**5 - 100*h + h**3 + 84*h + 0*h + (2*h + 1 - 1)*(-h**4 + 0*h**4 + 0*h**4) + h**5 + 2*h**5 + h**5.\nAnswer: -h**5 + h**3 - 16*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/28*3 - (-6)\/7. Solve a = 473*b - 472*b - 6 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2 + 88324*p - 975141122.\nAnswer: -2*(p - 22081)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**5 + 24*o**4 + 48*o**3 - 48*o**2 - 240*o - 192.\nAnswer: 3*(o - 2)*(o + 2)**3*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 2*g + 14, 0 = -4*g + 5 - 17. Suppose -2*h + 6 = w. What is the third derivative of -4*o**2 - h*o**4 + 3*o**2 + 0*o**2 wrt o?\nAnswer: -48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 64791053 + 2?\nAnswer: 64791055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -b**2 + 35*b - 5. What are the prime factors of o(-19)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3*m + 69 = 0. Let d = m + -46. What is the remainder when 90 is divided by d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**3 + 3*s - 4. Let u = 16 + -9. Let g(r) = -6*r - 2*r + r + 0*r - 29 + 38 + 4*r**3. Determine u*k(y) + 3*g(y).\nAnswer: -2*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 7:05 PM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-4))\/(6\/4*-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/30)\/1)\/(29\/((-1740)\/24)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k - 3*k + 12, 2*k - 12 = -2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -29492*w + 3863439. What is h(131)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6723896 is divided by 1997.\nAnswer: 1994","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/19)\/z)**12 assuming z is positive.\nAnswer: z**(-252\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -756*h**3 - 8*h - 127 wrt h.\nAnswer: -4536*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of 89*s**8\/336 + s**4\/4 + 85*s**3\/2 + 2252*s**2. What is the second derivative of c(y) wrt y?\nAnswer: 1780*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -506*z**2 + 238*z**2 + 267*z**2. Let n(j) = -3398*j. What is n(s(k))?\nAnswer: 3398*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 6*w - 46 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 + -15. Let o be (-5)\/(-20) + 22\/8. Sort 4, o, i.\nAnswer: o, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12983594 and 1092078.\nAnswer: 116852346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -355.187649 - 0.022351. Round r to the nearest integer.\nAnswer: -355","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03909 - -11.\nAnswer: 11.03909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9433 + -94237\/10. Let g = 48\/95 + 3937\/1045. What is the common denominator of j and g?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of a**6\/24 - a**5\/15 - a**4\/24 + a**3\/2 + 4*a**2. Let l be h(3). What is the greatest common divisor of l and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 885*c + 45 = 876*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 2*b - 8. Suppose 2*h + 0*i - 10 = -2*i, -b*h + 19 = 3*i. Put 1, h, 2 in ascending order.\nAnswer: 1, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -c - 2, 3*c + 8 = -4*h + 7*c. What is the second derivative of h*z**2 + 13*z**2 + 7*z - 41*z - 6*z**2 wrt z?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/2 (b) 4\/5 (c) 0.1 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -1538*c - 169180. Calculate u(-110).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3*x = -44, 19 + 1 = -5*x. Let j be (-6)\/(-27) - 43\/(-9). Suppose -j*w = -w + 16, -4*g + 2*w + o = 0. Put g, -3, 5 in decreasing order.\nAnswer: 5, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*6.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 798 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 4.7. Let j = -45.4 - -45. Let h = t - j. Which is smaller: 0.2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 466 is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(171) - 2*((sqrt(171) - sqrt(171)*-2) + sqrt(171))) + -1*sqrt(171)*1)\/(sqrt(324)*5 - sqrt(36)))**2*-3.\nAnswer: -228\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 87048190?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 741183?\nAnswer: 3, 17, 14533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -302120?\nAnswer: 302112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -37 - 23755?\nAnswer: -24014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -388 + 423. What is the greatest common factor of 287 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 13*w**2 - w + 1. Let z = 2 + -1. Let t be l(z). Let c(n) = n + 78. Let y be c(0). Calculate the greatest common divisor of y and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - ((3 - 6) + -5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 1:51 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbu when three letters picked without replacement from ecuebb.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -17389.5653 rounded to zero decimal places?\nAnswer: -17390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 0.7. Let b = 5 - 0. What is the closest to -1 in b, -1\/7, c?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from nnnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 100\/(-26) + 4 + 290\/(-26). Let k(d) = 0 - d - 1 + 2. Is 12 a factor of k(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 376 and 27213?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 50 + 2 - (11 + 2 + 19 - 19)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 6*i**2\/11 + 4188*i\/11 - 4194\/11 = 0.\nAnswer: -699, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1370074?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 3. Let k = 4 + -3.8. Let j = -0.3 + k. Which is smaller: j or c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15.47 + 15.17. Let b = 0.3 + 0.2. What is the closest to 3\/4 in b, -0.2, y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 AM and 9:27 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 72 + -9. What is the remainder when g is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1979.97*-7.09.\nAnswer: 14037.9873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of -l**7\/1050 + l**6\/60 + 23*l**5\/300 + l**4\/10 - 310*l**2. Factor d(s).\nAnswer: -s*(s - 12)*(s + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/((-32)\/(-140))*(-56)\/10. Let l be m\/25 - -1 - 15\/3. Put -8, 3, l in descending order.\nAnswer: 3, l, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5004 and 972?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 90 and (-3)\/1*(-4 - (-63)\/(-9)).\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -61 + 63. Calculate the lowest common multiple of 2 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 292909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -10. Calculate the greatest common divisor of 78 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9 + -2 + 2\/4*-2. Let k(i) = -i**2 + 18*i - 45. Is 27 a factor of k(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/5))**(1\/8)*t**(-5)\/(t**(-5)\/t) assuming t is positive.\nAnswer: t**(21\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ybcyncccq. What is prob of sequence cnq?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -321*u = -289*u - 352 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4 = 11. Solve p = 5*w - 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 3, 9\/4, 66?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/5)\/(32\/(-20))*12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1227*m - 77 - 41 + 118 - 681*m**3 wrt m.\nAnswer: -4086*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + k - 740 = -k, g - 191 = k. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 132973246?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202393 is divided by 11756?\nAnswer: 2541","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 68\/8025 and -34\/45.\nAnswer: 24075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -82*k - 488. Let y be t(-6). What is the third biggest value in -1\/53, -0.42, y?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142251 is divided by 472?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 120416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*b + 92 - 177 - 31 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 less than -55153094?\nAnswer: -55153085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -9*i**2 - 10*i**2 + 4*i**2 - 21*i**2. Let w = 940 + -662. Let j(z) = 278 - w - z**2. Determine n(j(m)).\nAnswer: -36*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2281.5561ms in minutes?\nAnswer: 0.038025935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 136 - -23. Let g = y + -476\/3. Let d = -2 - 4. Which is the smallest value? (a) d (b) 0 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 217486039 + 0.03.\nAnswer: 217486039.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.03 (b) 0.1 (c) -8 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3604933?\nAnswer: 3604933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 33*z + 3 - 37*z - 2 - 3. Let q be (-3)\/(-6) + 23\/2. Let h be (-3)\/q*(-11 - 1). Let j(x) = -7*x - 4. Determine h*j(l) - 5*f(l).\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iu when two letters picked without replacement from {i: 3, u: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 0. Let n = 76 - 74. Which is the closest to 0.2? (a) n (b) y (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 greater than or equal to -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 - 28.8. Let x = t - 2.2. Which is the third smallest value? (a) x (b) -1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-161)\/(-1449))\/(14\/27).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 7*s - 3*s + 2*l, -s - 5*l - 7 = 0. Let w(x) = x**2 - 3*x - 4. Let i be 2\/(4\/(-22) - 0). Let b(j) = -6*j**2 + 16*j + 21. Calculate i*w(n) + s*b(n).\nAnswer: n**2 + n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4038\/11 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31\/321 or 0.1?\nAnswer: -31\/321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4318 - 4305. Let h = 5 + -14. Let w = h + u. Put -0.3, w, 3 in ascending order.\nAnswer: -0.3, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4113 + 4238. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c + 16*c + 150 = 0. List the prime factors of (-7)\/(-28) - c\/8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*m - 5*a = 898, 0 = -5*a + 20. Let q = 296 + m. Let k be (-10)\/(-6)*(-56)\/10. Are k and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, -0.018, 0.2, -6 in ascending order.\nAnswer: -37, -6, -0.018, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1246998 and -9.\nAnswer: 11222982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3306971808?\nAnswer: 2, 3, 7, 271, 6053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 - -46 - (-2 - (5 - 11))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r**2 - 9*r - 4. Let s be k(11). Suppose 0 = 4*z - 5*l - 1022, 2*z - 387 = -5*l + s. Suppose -3*b + z = -132. List the prime factors of b.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -4*h + 10, -9*w + 7*w = 3*h + 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22100 is divided by 575.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n, -3 = -4*h + 4*n + 17 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23860943 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h = 19*h + 24. Let p be (-10)\/15 - h\/((-27)\/(-240)). Suppose 15*s - p = 4. Solve 0 = -3*t + s*t - 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -381*q**3 + 2 + 463*q**3 + 237*q**3.\nAnswer: 319*q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/6, 71574, -0.06?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 806.6223 nanoseconds?\nAnswer: 0.00000000022406175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 2, -0.9, -4\/7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 4:55 AM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qppmqw. Give prob of sequence pw.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29322?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.021 (b) -2\/15 (c) -2 (d) 0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 20*j + 3. Let m be s(3). Let f = -42 + 44. Suppose 0 = -5*k - 5, -3*c - f*k + 124 = -0*k. What is the highest common divisor of m and c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(111\/(-1036))\/(3\/(-20))?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 11:25 PM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2 + 76100*r - 62440058.\nAnswer: -2*(r - 37211)*(r - 839)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {t: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 185380 and 24366.\nAnswer: 72854340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 10*v**2 - 5*v + 22. Is k(-10) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {f: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -50857000 to the nearest one million.\nAnswer: -51000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + 15\/(-3))*6\/(-9). Suppose 0 = d*p + 7 - 455. Is 27 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k. Let d(c) = -9*c. What is -2*d(r) - 6*l(r)?\nAnswer: 24*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*b + 2*b. What is the least common multiple of b and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(8\/5)*l**(-19))\/(l**(2\/13))**(3\/50) assuming l is positive.\nAnswer: l**(-5333\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*q**3 - 15*q**3 - 13*q**3 - 26*q**3 + 54*q**3.\nAnswer: -15*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -52930 rounded to the nearest one thousand?\nAnswer: -53000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 378 and 126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 2*p + 3 = 5*s, -s + 4*p + 3 = 0. Suppose -1 = s*t - 7. What is the third derivative of -6*o**2 + 5*o**3 - 3*o + 5*o - t*o wrt o?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 276 - 145. List the prime factors of v.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 867 and 27.\nAnswer: 7803","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -5*i + 1. Let w be -4 - ((-4 - -8) + 40). Let x = w - -37. Let k(s) = -14*s + 2. Give x*g(p) + 4*k(p).\nAnswer: -p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 25911 (base 12) to base 16\nAnswer: c8dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2475?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*((-55)\/10)\/(2\/4). Let z be i\/(-44) + (1765\/4 - 2). What is z rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 58\/95 + -4\/19. Let t = 73\/4 + -18. What is the nearest to t in v, -2\/19, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49335 divided by 39?\nAnswer: 1265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28744\/25 - -600518173\/522300. Find the common denominator of 9\/20 and h.\nAnswer: 104460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -5*i**5 + 9*i**4 + 7*i. Let a(s) be the first derivative of -s**6\/2 + s**5 + 2*s**2 - 91. Let w(c) = -7*a(c) + 4*g(c). Find p such that w(p) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -93 + 75 + (-23 - 0)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 0*x = 99. Calculate the common denominator of 21\/8 and (-54)\/88*(-22)\/x.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -720 by 7.\nAnswer: -720\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = q - 2 - 6, 3*q = -4*p + 24. Let t be q\/(-36) + (-58)\/(-18). Let f = -1 + 3. Solve -k - f = t for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 60043917.5 to the nearest 1000000.\nAnswer: 60000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1014, -1035, -1060, -1089, -1122?\n\"Answer: -2*r**2 - 15*r - 997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -9\/4.\nAnswer: -4, -9\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -129348205\/4 at most -32337051?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1476405 and 763.\nAnswer: 763","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of 2*a**7\/15 + 58*a**6\/5 - 1199*a**5\/15 + 176*a**4 - 424*a**3\/3 - 860*a**2. Let q(g) = 0. What is g?\nAnswer: -53, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1763 and 164?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of -25*q**3\/6 + 2*q + 41. Let p(o) = -17*o. What is -8*p(b) + 5*r(b)?\nAnswer: 11*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*t**2 - 10*t**2 + 44*t**2 - 6*t**2 - 9*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) -25188 (c) 1\/231\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c*c**(-3))\/c)\/(c\/(c\/(c*(((c**5\/c)\/c)\/c)\/c*c)*c)))\/(c**1\/c)**(16\/9))\/((c**0)**19\/((c**4*c)\/c*c**2)) assuming c is positive.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**2. Let u(k) = 0 - 2 + 1. Let z(g) be the third derivative of g**5\/60 - g**3\/3 + 2*g**2. Let r(y) = -2*u(y) + z(y). Determine j(r(n)).\nAnswer: -2*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.248981mg to tonnes.\nAnswer: 0.000000003248981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**4 - 10*w**3 - 8*w**2. Let z = -124 + 120. Let k(q) = 2*q**4 + 10*q**3 + 6*q**2 - 2*q. Let g(h) = z*i(h) - 5*k(h). Find f, given that g(f) = 0.\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-6*((sqrt(504) - (sqrt(504) + 2*sqrt(504))) + sqrt(504) - sqrt(504)))\/(5*sqrt(40)\/sqrt(5)))**2.\nAnswer: -18144\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (1 + sqrt(1584))*2)**2.\nAnswer: 6336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3*i - 16. Let t(k) = -3*k - 15. Let y(h) = -6*s(h) + 7*t(h). Let a be y(-10). Suppose -23*n = -a*n. Is n <= 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**4 + 55528*m**3\/7 + 55067910*m**2\/7 + 15729156*m\/7 = 0. What is m?\nAnswer: -1983, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 426*p = 428*p - 10, 4*p = 16 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 41*-526510\nAnswer: -21586910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 17, 3038, -207?\nAnswer: 3038","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7018\/1359 + -8\/151. Let z = -25289\/6 + 4204. Find the common denominator of c and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1201?\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1262 a factor of 4063921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 23331\/462 + ((-1)\/(-1))\/(-2). Solve k = -12*r + 62*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 40543922?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1974 - -1978. Solve -12 = -c + j*z + z, 5*z = 4*c - 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2610*l - 571583. Give f(-219).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 396 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -312 by 78.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sn when two letters picked without replacement from qqsqnsnsssssnq?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 53*j + 269. Determine p(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 75883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.5 - -11.5. What is the second smallest value in 15\/8, 3, 0.1, o?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(0 + -1 - 2). Suppose l*w = 2*h - 33, 4*h + w - 65 = 36. 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: Let b(p) = -p**3 - p**2 - p - 1. Let v(f) = -126*f + 629. Let w be v(5). Let k(d) = -4*d**3 - 3*d**2 - 3*d - 3. What is w*k(q) + 3*b(q)?\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 102 and 1377?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1453279 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 2637452.\nAnswer: 15824712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 8*t**2 + 73*t - 763. Is 215 a factor of v(18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of 0 + 0*a - 104*a**2 + 0*a**3 + 1\/300*a**6 - 1\/30*a**4 - 1\/150*a**5. Factor z(b).\nAnswer: 2*b*(b - 2)*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -816 = -14*h - 82 + 288. What is the remainder when 290 is divided by h?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from nnnnrrnrrnn.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2*(1 + sqrt(242)) + sqrt(242) + 5*(sqrt(242) + 2 + sqrt(242))**2 - (-1 + 4*(sqrt(242) + sqrt(242) + sqrt(242) + 1 + 5))**2).\nAnswer: -30514 - 5599*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7280814?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 940*w + 24392 = 9352 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o + 5*o + 0*o)*(1 - 2*o - 1) + (-3*o + 5*o - 3*o)*(-4 - 2 + 2)*(2*o + 3*o - 4*o) to p + k*o**2 + t*o and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 6, 76 in decreasing order.\nAnswer: 76, 6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -310 divided by 15208\nAnswer: -155\/7604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -959, -1926, -2899, -3878, -4863, -5854, -6851?\nAnswer: -7854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16891 is divided by 88.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 + 10*l - 4. Let t(m) = -m + 1. Let u(h) = -s(h) - 4*t(h). Calculate u(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by ((-16)\/(-20))\/(1\/20).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7\/6)\/7 - (-37)\/(-74)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q**2 + 2*q**3 - 9*q**3 - 3*q**4 + 6*q**3 + q**4 as p*q**4 + x*q**3 + u*q**2 + o + r*q and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**2 + 478*f - 2. Let b(i) = -2007 + 2007 + 4*i - 6*i. Calculate d(b(y)).\nAnswer: 8*y**2 - 956*y - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2251.9 + 2254. What is the second smallest value in a, 44, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1738124 is divided by 464.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 198\/(-15)*(-600)\/180. Let y = 268 - 180. What is the highest common divisor of b and y?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.5 + -1.5. Which is the biggest value? (a) 6 (b) l (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 796*n + 1595. Give d(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 times -769439?\nAnswer: -10002707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3*m + 188 = 0, 3*m + 210 = 3*f - 69. Suppose -13 - 55 = -68*z. Let j be (z + 2)*1027\/237. What is the highest common factor of j and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-121905)\/86)\/(-81))\/((-133)\/(-152))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.905682 micrograms to milligrams.\nAnswer: 0.000905682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -315?\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -108.12 to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 120 - 66. Suppose p + 10 = 6*p. Suppose p*s - 52 = 5*q - q, -3*s - 4*q = -38. Calculate the highest common factor of s and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t + 53. Suppose 4*x - 1 + 5 = 0, -97 = -4*v - 3*x. What are the prime factors of z(v)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**(-3\/5)*k)*k*k**(-3))\/(k**(-1\/7)\/(k*k**(-1\/4))) assuming k is positive.\nAnswer: k**(-211\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.991 - -1.491. What is the nearest to -2 in n, -1, -2, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) + 3 + (-1*sqrt(2448))**2 + (2 + sqrt(2448))**2*5 - (2 + 6*(sqrt(2448) + -1) + -2)) + 3.\nAnswer: 180*sqrt(17) + 14720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**3 + w**3 + 2*w**4 + (2 + 2*w - 2)*(w**2 - w**2 + 2*w**3) + (2*w**4 + 2*w**4 - 3*w**2 + 5*w**2)*(0 + 0 + 2) - 7*w**4 + 11*w**4 + 0*w**4.\nAnswer: 18*w**4 + 4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 5*l + 6 = 4*u, -l + 5*u = 10. Let x be 906\/l + 8\/20. What is the highest common factor of 13 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 6, -1, -1\/1355?\nAnswer: -1\/1355","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -23, -13, 11, 55, 125, 227?\n\"Answer: t**3 + t**2 - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4797 and 6929?\nAnswer: 62361","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/5 + 238\/5. Let h = -25 + w. Let n = 11 - 6. Solve 4*v - 2*v = -8, -n*j - 2*v = h for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -14877763?\nAnswer: 14877765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccnnngnccncy. Give prob of picking 1 y and 1 g.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.05 and 5.41429.\nAnswer: 5.36429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16740?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from ffpffpfffffpfff?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 10) to base 7.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 544 is divided by 315?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.41 in 0.5, 1, 2\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 489808716 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -4*x + 45. Let p be 92\/28 + (-8)\/28. Suppose 3*w = 4*m + 27, 22 = 3*w - p*m - 5. List the prime factors of u(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, v: 3, f: 1, n: 2, q: 6}. Give prob of sequence uvvv.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(8\/13)*t**(-19))**(1\/2))**(-30) assuming t is positive.\nAnswer: t**(3585\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of h**8\/1008 - h**7\/630 - h**6\/360 + h**5\/180 + 70*h**2. Find i such that j(i) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 n, and 1 b when three letters picked without replacement from bhnhwsn.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3072557*v*x**3 - v*x**2 - 5*v*x - 2*x**2 - 8*x - 363 wrt x.\nAnswer: 18435342*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 14*q**3 + 5 + 10*q**3 - 3 + 5*q**2 in the form h + r*q + f*q**3 + n*q**2 and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 175136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 141.38 and 0.4371.\nAnswer: 61.797198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 12:39 AM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*q**2 - 2 + 2*q**4 - 4*q**4 + 1 in the form u*q**4 + g*q + h + b*q**3 + d*q**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50163262.\nAnswer: 2, 79, 317489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 2*n**7\/7 - 87*n**5\/5 + 196*n**3\/3 + 74. What is the third derivative of o(q) wrt q?\nAnswer: 240*q**3 - 2088*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28775.\nAnswer: 5, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 10*r**2. Let y(i) be the first derivative of 2*i**3\/3 - 6. Give y(h(p)).\nAnswer: 200*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 1. Let x(m) = -m + 1. Suppose 0 = 5*s - 28 - 32. Let w be (-13)\/(-1) - 0\/(4 + -1). Let i = w - s. Calculate i*x(q) - u(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(((-280)\/(-8))\/5).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 951*x - 1996. Let u be f(5). What is the greatest common factor of u and 267?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23960 by 4792.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zkk when three letters picked without replacement from zzkzzkkkkzkzzkkk.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jcc when three letters picked without replacement from {c: 3, j: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14599592*g**3 + 1270434*g**2 - g + 4.\nAnswer: -87597552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 2. Let t(p) = 21*p**2 + p + 1. Let k be t(-1). Let l = v + k. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67a6 (base 11) in base 15?\nAnswer: 29b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*p**6 - 460*p**4 - 4*p**3 - 27*p**2 + 45167 wrt p?\nAnswer: -240*p**3 - 11040*p - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3577988485 to the power of 1\/2, to the nearest integer?\nAnswer: 59816","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3 + ((-23)\/(-299)*-2 - 6671\/(-13)) is divided by 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*l - 14*l - 6 = 0 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o - 2*o**2 - o**2 - 30*o - 8*o + 4*o**2.\nAnswer: o**2 - 43*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1209377.\nAnswer: 13, 41, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3990837?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, h: 3, y: 5}. What is prob of sequence hh?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*o**2 - o**2 + 24*o - 15*o**2 - 36.\nAnswer: -4*(o - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - -1) + (-21 - 3) - 105.\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -7*i**3 + 4*i**2 - 3*i**2 - 3*i**2 + 2 + 5*i**3. Let t be h(0). Solve -t*c - 3*c + 1 = -2*n, 5*c = -5*n + 15 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a, 1 t, and 1 k when four letters picked without replacement from tkakan.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**0)\/(q\/(q\/((q\/((q\/(q*q**5))\/q))\/q)))*q**(1\/13)\/q*q*q*q**4*((q*q**(2\/3))\/q**(-3\/2))\/((q*q**4\/q)\/q*q*q*q\/q**(2\/7)*q) assuming q is positive.\nAnswer: q**(-1895\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -54*g*v**4 - 13387*g*v**3 + 181*g + 29376*v wrt v?\nAnswer: -648*g*v**2 - 80322*g*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 24 = -4*a, 8 = 4*a - 8*a - 5*z. Suppose 2*o + 5*n - 1360 = 0, a*n + 2746 = -58*o + 62*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24*c**2*m*x**3 + 6*c**2*m*x**2 - c**2*x**3 + 88*c**2*x**2 - 3*c*m*x - 37*m*x**4 + 6*x wrt x?\nAnswer: 144*c**2*m - 6*c**2 - 888*m*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -25*z**3 - z. Let d(h) = h - 5. Let a be (-3 - -1)\/((-1)\/2). Let j be d(a). Calculate the remainder when v(j) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {f: 3, j: 9}.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 3*l = 2, 5 - 3 = -3*d + 4*l for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 9:19 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -25.7 and 30.5.\nAnswer: 4.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3, -5, -2, 41?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -20110010 (base 3) in base 2?\nAnswer: -1001001011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -618, -1237, -1856, -2475?\n\"Answer: -619*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -1240114?\nAnswer: 1240122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 3)*(-2 + 2*m + 2)*(0*m + 6*m + 2*m).\nAnswer: -16*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-32)\/8*1\/(-2). Suppose a*i + 0 - 2 = 0. Let z be ((-4)\/14)\/(i\/(-7)). Solve -1 = -z*f - 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 15240 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-24)*4)\/(10\/(-20))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1738648120 and -23.\nAnswer: -1738648143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -304 + 1847\/6. Calculate the common denominator of w and (-285)\/18 + (-2)\/12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11.01162 - 0.01162. Put -3, s, -0.14, 1\/2 in ascending order.\nAnswer: -3, -0.14, 1\/2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - q - 10. Suppose -q*a = 5*y - 2 - 3, -5*y + 3*a = -13. Let j = 381 + -386. Sort y, -4, j in descending order.\nAnswer: y, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -4*p + 27. Let a be (1 + -2 + 2)*2. Suppose -5*s - 10 = -5*y, -4*s - p = -a*s - 5*y. Solve 3 - s = 2*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -3*i + 4, 0 = 3*h - 9*i + 4*i - 16. Let t(s) = 73 - 73 + 61*s**h + 3*s - s. Is 14 a factor of t(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69657 + 77190 = -1579*o for o.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rq when two letters picked without replacement from {q: 1, r: 18}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**3 + 13*d**2 + 10*d + 26. Let a be l(-6). Calculate the greatest common factor of a and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -16, 1.4, 2\/53?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20432, -40847, -61262?\nAnswer: -81677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of -b**4\/12 - b**3\/6 - 41*b**2. Let t(j) = 7*j + 8. Let i(p) = -p + 2. Let h(f) = 2*i(f) - t(f). Calculate -6*h(c) + 26*x(c).\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 113*g**2 + 0*g + 1 - 2*g - 114*g**2 + g + 6*g**4 as b + l*g**2 + t*g + j*g**3 + x*g**4 and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -51 + 62. Suppose 0 = -i + 14 - t. Factor -1\/4*m**2 + 0*m + 0 - 1\/4*m**i.\nAnswer: -m**2*(m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 400 and 4560.\nAnswer: 22800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 5 - 11, 4*v = 5*u + 8. Suppose -2 = -u*x + x. Let p be x*1*15\/(-6). Solve -p = k - 1, -j = -4*k - 11 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -5*m**2. Let v be n(1). Let d(l) = -1 - 1 - 18*l + 1. Is d(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15493, 28996, 42499?\nAnswer: 56002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 60 + -21. Let g = 106 - 50. Let w = g - t. What are the prime factors of w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 times 2.088?\nAnswer: -27.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -297 - 55727*v + 195*v**2 + 55727*v wrt v?\nAnswer: 390*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*0.148\nAnswer: 0.0296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 8:43 PM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1120 (base 4) to base 7\nAnswer: -154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4\/13 + 6*c**3\/13 + 6*c**2\/13 + 2*c\/13.\nAnswer: 2*c*(c + 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + -1 - -2 - -8) + 117 + -127.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 5 (b) 2\/9 (c) 244\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*w + 11 + 39 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4701111*d**5*g + 8*d**3*g**2 + 180231*d*g**2 + d*g - 30*d - g**2 wrt d.\nAnswer: -94022220*d**3*g + 48*d*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*s = 103*s - 953 + 1358 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of -1\/24*b**4 + 2*b + 1\/60*b**5 - 5*b**2 + 1\/6*b**3 + 0. Calculate x(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2510 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -7*v**3 + 93*v**2 - 272*v - 2. Calculate a(4).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31732937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -37 - 585547?\nAnswer: -585583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -4.06. Let n = -1.06 - z. Which is the nearest to -1\/3? (a) 0.3 (b) n (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**2 - 5*h**2 + 4*h**2 + (h - h - 4*h)*(-2*h + 3*h + h) + (2*h**2 - h**2 - 3*h**2)*(-2 + 5 + 6) to the form z*h**2 + g*h + a and give z.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzqzzqzzqzzzzzz. Give prob of sequence qqq.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17*a + 8*a + 8*a + 7)*(0*a**2 - a**2 + 0*a**2)*(-1 - 4 + 3)*(-73 - 104 + 102) to the form x*a + i*a**3 + d*a**2 + u and give d.\nAnswer: -1050","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 81, 65, 49, 33, 17, 1?\n\"Answer: -16*f + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/6 + 16\/48*4. Solve -3 = 2*y - 0*c - 3*c, -5*c + 1 = -j*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14*6\/8*(-143)\/(-24024)*-192\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1851, -71, 0.2, -2 in decreasing order.\nAnswer: 1851, 0.2, -2, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2*u = -6*u - 20, t + 1 = -2*u. What is the remainder when 8 is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1230 - 433?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 3*m + 5 = 2*m, 0 = 5*g + 2*m - 20. Suppose 0 = 2*y - 8 - g. Solve -9 = y*q + 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -755 (base 9) to base 5.\nAnswer: -4432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1744151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -268328.8 rounded to the nearest ten thousand?\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -8*r**5\/5 + r**4\/4 + 37*r**3\/3 - 5. What is the third derivative of j(b) wrt b?\nAnswer: -192*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 11*k**2 - 3*k. Let d(p) be the third derivative of -11*p**5\/15 + 11*p**4\/24 - 2*p**2 + 20*p. What is 3*d(t) + 11*h(t)?\nAnswer: -11*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 27 = -2*z + 8, -4*t = 5*z - 96. What is the remainder when 39 is divided by z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-49 + 101 - 52 + 497*j)*(2 - j**2 - 2) in the form w + t*j**3 + l*j**2 + k*j and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (415 + -431)*(-3)\/24?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 9*x**3 - x**2 + 3*x + 1. Let v be w(-2). Let u = v - -126. Is u a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -4*c**2 - 3*c. Let y be h(-2). Suppose -8*o = -12*o - 60. Let x = y - o. Solve 0 = -x*r - z + 26, 5*r + 0*r = -2*z + 27 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 39*d**2 - 18*d - 795. Let m(x) = -11*x**2 + 5*x + 227. Give 5*a(y) + 18*m(y).\nAnswer: -3*y**2 + 111","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3461322*b**3 - b**2 + 45*b + 2088?\nAnswer: 20767932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 1\/18, 24288 in increasing order.\nAnswer: 1\/18, 1, 2, 24288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of -b**8\/6720 - b**7\/560 - b**6\/120 - b**5\/12 + 11*b**2. Let u(n) be the third derivative of y(n). Factor u(g).\nAnswer: -3*(g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2011 - 12?\nAnswer: -2023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 71552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13a216 - 16?\nAnswer: -13a22c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -2*m + 40 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h + 4. Let t be m(5). Suppose -27 = 3*x - 6*x. Calculate the highest common divisor of t and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -61.34 + 55.8. Let s = v - 0.16. Let u = s + 6. Which is the nearest to 1? (a) u (b) -1\/4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89 - -77 - (-10 - 5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4655?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 352 and 396?\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a + 3373 = -3*g + 16*a, a = -2. Let t = g + 2427. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 792 is divided by 148.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 115 divided by -115\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5546341*m**3 + 1605472 wrt m.\nAnswer: 16639023*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 8.6. Let r = 7.7 - k. Let s = 160 - 160.07. Sort r, -4, 0.3, s in decreasing order.\nAnswer: 0.3, r, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus 3128?\nAnswer: -3127.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 765589901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.93? (a) 0.2 (b) 0.3 (c) 54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3 or 2\/80435?\nAnswer: 2\/80435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**2)**3\/(z**2*z**14*z))**(-2\/29) assuming z is positive.\nAnswer: z**(22\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-142)\/6*12\/(-2). Let x(b) = -27*b - 725. Let s be x(-27). Suppose -5*i + s*f = -132 - 205, 2*i = 4*f + w. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 5*i + 23 - 191. Solve -3*t = -5*t + 2*n - 10, -i = 5*t - 4*n for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + 8*m - 5. Let o be a(8). Factor o*x**2 + 9*x + 3*x**3 + 12 - 108*x**2 + 15*x.\nAnswer: 3*(x + 1)*(x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0.3 (b) 1.2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + 111*u - 7309. Give v(50).\nAnswer: 741","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 1:09 AM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 5*v - 12. Is 11 a factor of 74\/4 + v\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*k**3 - 52*k**3 + 20*k + 216*k**2 + 194*k**2 - 127*k**2 - 20*k.\nAnswer: -2*k**3 + 283*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/15 - (-2 + (8 - 5))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 307707 and 4705?\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 135\/(-60)*(-33288)\/18. Which is the smallest value? (a) -0.2 (b) t (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 4*v**3 + 139*v**2 - 356*v + 180. Let g(y) = y**3 + 46*y**2 - 119*y + 60. Let b(d) = 11*g(d) - 4*w(d). Factor b(o).\nAnswer: -5*(o - 1)**2*(o + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 553633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3403 - 324?\nAnswer: -4131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**3 - d**3 - 2*d**3)*(-14*d - 25 + 25)*(d + d - 3*d).\nAnswer: -28*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 43*d**2 + 222*d + 8. Give k(-5).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1738198 take away 1.605847?\nAnswer: 1738196.394153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7765, -15529, -23293, -31057, -38821, -46585?\nAnswer: -54349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.89 + -2.09. Let i = -74 + 519\/7. Is a >= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 417?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u - 6. Let b be a(-5). Suppose -b*c + 103 = -1. Suppose -24*w + 234 = 2*w. Calculate the remainder when c is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*b = -40*b + 9*b + 5771448. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.07668 - -23.92332. Which is the nearest to 0? (a) 0.4 (b) s (c) -4 (d) 0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (9 - 12) - (1 + 6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -17*z**2 - 23*z - 5*z**3 + 11*z**2 + 30 - 8*z**2. Let o(f) = 4*f**3 + 15*f**2 + 22*f - 30. Let l(t) = -4*o(t) - 3*y(t). Does 6 divide l(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, y: 2, e: 10}. What is prob of picking 1 y, 2 e, and 1 g?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 13 = 4*l - 2*s, 5*l - s = 15. Let j(b) = -12*b**l + 0*b**2 - 21*b**3 - 14*b + 20 + 22*b**3 - 2*b - 2*b**2. Give j(15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of -c**7\/14 - c**6\/10 + 3*c**5\/5 + c**4 - 58*c + 56. Let t(o) be the first derivative of i(o). Let t(u) = 0. Calculate u.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7356 + -206?\nAnswer: -7563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 - 22444454?\nAnswer: -22444464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 9*s**3 - 7*s**2 - 9*s + 25. Let o(c) = -4*c**3 + 3*c**2 + 5*c - 12. Calculate 3*d(u) + 7*o(u).\nAnswer: -u**3 + 8*u - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-20)\/50)\/1)\/(132\/6270).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 6*q - 4*q. Calculate the common denominator of 103\/14 and q + 69\/(-66) + 2.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1930?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*l + 14*l. Which is smaller: l or 5\/14?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k - 3*g + 5, 0 = -11*k + 7*k - 5*g - 21 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 11*n**2 + 71*n. Determine c(15).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*h - 6. Let w(b) = b**2 - 5*b - 7. Let g be w(h). Factor -g - 20*l**3 + 48*l - 7 + 5 - 7 - 12*l**2.\nAnswer: -4*(l - 1)*(l + 2)*(5*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/43 (b) 0 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(200) + 0 - (sqrt(200) + 1 + sqrt(200) + 5 - sqrt(200)) - ((sqrt(200) + 0 - sqrt(200))*-5 + (-2*sqrt(200) - sqrt(200)) + 2 + 4))**2.\nAnswer: -840*sqrt(2) + 1996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 471279007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 3*l - 3. Let z(b) = 6*b**2 - 2*b + 1. Let u be z(1). Suppose t + 17 = 5*t - i, -u*i = -4*t + 37. Let m be j(t). Solve -5*c + 35 = m for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6311 is divided by 81?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.4, 2, 1\/2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + 9\/5 - 2\/(-10). Find l, given that 8*l**2 - 9*l**3 - 5*l**3 + 16*l**3 + 2*l**f = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 28*s**3 - 2*s**2 - 10 + 2*s**2 + 33.\nAnswer: 28*s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1737 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 3:02 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5b9 + 2?\nAnswer: 5bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in 1\/4, -3, 2\/9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 4*r - 176 = 0, 0 = 4*r + 9 - 5. What is the smallest common multiple of 360 and c?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67477 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -7. Let y be -1 - k\/(2\/10). Let b(i) be the third derivative of i**5\/60 - 7*i**4\/24 - 5*i**2. Let z(g) = g**2 - 6*g. Give y*b(f) + 7*z(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*g**2 - g**2 + g**2 + (-3*g - 2*g + 7*g)*(2*g + g + 0*g) + 1 + g**2 - 1.\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -993.1 times 0.2\nAnswer: -198.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*i + 1 + i - 13*i**2 + 3*i in the form d*i + l + m*i**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.12 - -0.42. Let q = -0.04 - -1.04. Which is the closest to q? (a) -0.1 (b) y (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -4 - 7 - -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -14*i - 2. Let v(q) = 12*q + 2. Let k(r) = -4*o(r) - 5*v(r). Let f(b) = b**2 - 1. Let s be f(-2). Give k(s).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 28*s - 23*s = -136, -239 = -p - 192*s for p.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 130896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 8:15 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3567 divided by -126?\nAnswer: 1189\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a millennium in decades?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 84 = -4*t + 102, -11*v = -5*t - 125 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) + 2 + 1 - (-3 + sqrt(76) + -2))*4*6)**2.\nAnswer: 36864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3527801cm in micrometers?\nAnswer: 3527.801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 22*j**3 - 5*j + 2. Let v be x(3). Let p = v + -390. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 252 and 336.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1557 or 1558?\nAnswer: 1557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 2 = -5*p - 1, -p - 11 = -3*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 4*u**3 - 10*u**2 + 311. Let j(w) = -19*w**3 + 55*w**2 - 1556. Give 2*j(a) + 11*m(a).\nAnswer: 6*a**3 + 309","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -7*m**3 + m**2 + m - 1. Let x be j(1). Let n(c) = c + 4. Let o(i) = 1. Let f(w) = -n(w) + 5*o(w). Let z(d) = -8*d + 4. What is x*f(r) + z(r)?\nAnswer: -2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 64554 or 64555?\nAnswer: 64555","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let j be 75\/(-30)*2\/(-1). Let o = -1041 + 1041. Solve o*m = -j*m - 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/10 and -3\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2350 and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, l: 2, r: 7, z: 3, e: 3}. Give prob of picking 1 z, 1 r, and 1 p.\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {d: 1, w: 5, x: 1, g: 1, n: 1}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + 12 - -17 - 12?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*m + 135 = 210 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18376 + 312. Let o = -9788 + i. What is o rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + u. Let t(g) = -4*g**2 - 2*g. Let w(r) = -2*q(r) - t(r). Let s(k) = 2*k + 2. What is w(s(m))?\nAnswer: 8*m**2 + 16*m + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 664*d**4 + 3235*d**3 + 1707766*d**2?\nAnswer: 15936*d + 19410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2260152.7 and 14.\nAnswer: -2260138.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -828, -1652, -2498, -3378, -4304, -5288, -6342?\nAnswer: -7478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((0 + sqrt(2057) + sqrt(2057) + -1 + 4)*4 + (2*sqrt(2057) + 4 - 6*(sqrt(2057) - 2*sqrt(2057)))*3)**2.\nAnswer: 16896*sqrt(17) + 2106942","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**2\/3 + 105*g - 300.\nAnswer: -5*(g - 60)*(g - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 416 + r - 693 + 2504 + 1030 in the form g*r + f and give f.\nAnswer: 3257","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z - z + 186 - 215. Determine s(-10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12*c*u*w + 4*c*w + 41*c - 10*u*w - u - 6*w + 1 wrt u?\nAnswer: 12*c*w - 10*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2385 and 90.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 2*o**2\/9 + 16*o\/3 = 0.\nAnswer: -24, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11122020 - -12?\nAnswer: 11122102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + 1 + (-4 - -2). Let o(z) = -m + 0 - 6*z - 2*z + 6*z. Let k(w) = -w**2 + 3*w. Let c(p) = p**2 - 19*p + 21. Let x be c(18). Calculate x*o(i) + 2*k(i).\nAnswer: -2*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 371 + 1394*t**2 - 371 as c*t + m*t**2 + y and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 131 + 158. Let y = 288 - j. Put -8, y, 1 in decreasing order.\nAnswer: 1, y, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13534149077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 0.5 (c) -34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -1.99. Let t = -5335.8 + 5336. Which is the closest to t? (a) p (b) -3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 45*t**2 - 323*t - 3. What is the tens digit of r(-25)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/2 - 91*z\/2 + 93.\nAnswer: -(z - 2)*(z + 93)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*k*u - 636620*k - 6*u + 181617 wrt k.\nAnswer: 4*u - 636620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1020 and 8330?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*4*(-5 + 4). Let m be (-2)\/(-8) - (-2)\/x. Solve -7 = -l + 5*g + 10, 3*l - g - 9 = m for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181051.\nAnswer: 13, 19, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**2 + 3*m**2 + 2 + 13*m**3 + m**4 - 11*m**3 - m in the form b + j*m + z*m**4 + c*m**2 + u*m**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 c when four letters picked without replacement from {e: 2, c: 6}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 4*j - 16, 5*j = -2*o + 677 - 657. Solve 2\/3*n**4 + 2\/3 + 0*n**3 - 4\/3*n**2 + o*n = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (-3 + 7)) + 2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250*c = -253*c - 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q - 1400 = -1445. What is the closest to -10\/7 in 2\/39, q, 3\/2?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37184 is divided by 504.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x. Let q(h) be the second derivative of 0 - h**3 - 82*h + 0*h**2 - 1\/12*h**4. Determine q(j(b)).\nAnswer: -b**2 + 6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 10*q**3\/11 - 104*q**2\/11 + 34*q\/11 + 60\/11 = 0.\nAnswer: -3\/5, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6*((-52)\/(-24) - 3). Solve -c*g + 7 - 2 = 0, h + 2*g - 3 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 1)*(38 + l - 38)*(3*l - l - 3*l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1516 - -5263. Suppose -b - 2*u + 3747 = 0, 0 = -13*b + 14*b + 3*u - n. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -u + 4*k - 18, -3*u - 9 = -3*k. Sort -23, -3, 0, u.\nAnswer: -23, -3, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiqiqqq. What is prob of picking 1 i and 2 q?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 2926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45 and 40.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 347 - -83. Is 12 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7037 - 7034. What is the closest to h in -9, -0.5, 3\/7, -1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + y + 4, -4*m - 2*y + 384 = 0. Is m <= -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + 2 + sqrt(39)\/sqrt(3) + sqrt(1053) + 0 + (sqrt(1053) + 1 - (sqrt(13) - (sqrt(1573) + 0 - sqrt(1573)))))**2.\nAnswer: 114*sqrt(13) + 4702","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + x)*((x**2 - x**2 - 2*x**2)*(-2*x**2 + 2*x**2 - 2*x**2) + 2*x**4 - 5*x**4 + x**4).\nAnswer: 2*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, p: 1, c: 2, v: 6, m: 1, q: 2}. Give prob of picking 1 v and 1 q.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = -2*i + 8*i. Let h = -16 + i. Suppose f = -3*f - 20, -3*f - h = 3*m. Calculate the lowest common multiple of 5 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5278 - 5280. Let w be ((-1)\/2)\/(2\/(-4)). Let i be w\/(-1) - (2 - 5). Put 4, t, i in decreasing order.\nAnswer: 4, i, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3966.\nAnswer: 2, 3, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 - (-184)\/(-44) - 68\/(-11). Suppose 0 = -w*a + a + 320. Calculate the greatest common divisor of 16 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 e when two letters picked without replacement from {x: 2, c: 2, l: 5, e: 2, w: 1, j: 1}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 9 + 2 + -6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -1.1, 1, -3\/4, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 9 - 19 + 50*j - 4*j**2 + 4 + 16*j**2 to the form l*j + c*j**2 + b and give c.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2332, 2425, 2518, 2611?\nAnswer: 2704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 0)*(4 - 5 + 0)*(-2*c + 2*c + 2*c - 4*c + 3*c + 0*c + (-c - 3 + 3)*(0 - 3 + 5)).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218400 is divided by 2795.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen quarters of a century?\nAnswer: 5100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1537?\nAnswer: 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of 2*f**3\/9 - 40*f**2\/3 + 800*f\/3 + 5. Factor c(x).\nAnswer: 2*(x - 20)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -g**2\/3 + 4672226*g\/3 + 1557409 = 0?\nAnswer: -1, 4672227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 + 0)*3\/9. Let o = 290 - 294. Let a be ((-2)\/(-66))\/((-14)\/84). Put o, a, c, -9 in increasing order.\nAnswer: -9, o, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 529155047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 27 = 6*j. What are the prime factors of (j\/(-18))\/(3\/56)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.008+0.5\nAnswer: 2.508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -85, -279, -603, -1057, -1641, -2355?\nAnswer: -3199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 5 + 5 + 6*d**2 - 19.\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 21\/17, -447, 4, -2.\nAnswer: -447, -2, -0.3, 21\/17, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -302*c**5 + 16*c**4 - c**3 - 177599*c wrt c?\nAnswer: -6040*c**3 + 192*c**2 - 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -265476 - -454303. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 51965445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 8 - 7 = 0. What is the third derivative of -z**4 + 5*z**2 + r*z**4 - z**4 - 4*z**4 wrt z?\nAnswer: -24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in 1\/8, 41, 4, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, d: 5}. Give prob of sequence df.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rnuuu. What is prob of sequence nu?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 2*y - 6, q + 4*q + 5*y = -5. Suppose -p = 105*p + 8*p - 228. Solve -g - 9 = 5*z - 28, q*g = -p*z + 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -q + 89593*v - 89594*v, -3*q - 15 = -v for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 15 + 39 + h.\nAnswer: h + 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + -3 + 5)\/((-1)\/(-6))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of -3*l**7\/70 + 8*l**3 + 3*l**2. Differentiate a(s) with respect to s.\nAnswer: -36*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -218 - 238. Find the second derivative of 65*i - 59*i**5 - 59*i**5 + n*i**5 + 247*i wrt i.\nAnswer: -80*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 + 107\/4. Let g = 281 - 280.6. What is the closest to m in 0, 0.5, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m = 4*q - 14*m - 10, q - 2*m = 7. Is q\/(-2)*2*(-25427)\/141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -862*w**3 - 2*w**2 - 9*w - 7. Is y(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1345331 (base 8) to base 9\nAnswer: -637647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 + 117. Suppose -8*m = -i - 3*m + 25, -2*i = m - f. Let x = i - -42. List the prime factors of x.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 70913*u**5 + 175227*u.\nAnswer: 1418260*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.3, 61\/7587 in descending order.\nAnswer: 3, 0.3, 61\/7587","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -25, 278394, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -20032?\nAnswer: -3\/20032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r**3 + 60055*r**2 - 180360175*r + 180300125 = 0.\nAnswer: 1, 6005","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9455, 20, -5, -1 in increasing order.\nAnswer: -9455, -5, -1, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 242*b - 238*b + 16 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 5*d + 225, -235 = -3*g - 2*g - 3*d. Let c = 28 - g. Let v = c + 47. Solve h = -4*h + v for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 479 a factor of 29556340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 485740?\nAnswer: 485735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*a**2 + 5*a**2 + 2*a**2 + 12*a - 2*a**2 wrt a?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-2))\/(356\/89)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7364 divided by 263.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 229878357*a*g - 241710281*g wrt a.\nAnswer: 229878357*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4*j = 93 + 47, 4*j - 88 = -2*u. Suppose 0 = -37*h + u*h - 7891. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104)*1*-5 + sqrt(104) - sqrt(104))\/sqrt(2))\/(sqrt(8)\/sqrt(32) - (sqrt(20)\/sqrt(45) + sqrt(4))).\nAnswer: 60*sqrt(13)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 0*f**2 + 8*f**2 - 6*f**2. Let o(b) = -33*b**2 + 0*b + 35*b**2 + 0*b. What is o(i(q))?\nAnswer: 8*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1654249018 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-5))\/(4\/10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 - -30. Let y(v) = -7 + 35*v - 32*v + s. Determine y(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 4*s - 16*s - 2*s**2 + 4*s + 2*s = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, -3 in decreasing order.\nAnswer: 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2052*a. Let h(d) = -d**2 + 2683. Determine h(m(i)).\nAnswer: -4210704*i**2 + 2683","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 0*w. Suppose w = 3*m - 7*m + 256. Suppose 0 = 3*r - m + 4. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12\/5*x - 224\/5 + 2\/5*x**2 = 0.\nAnswer: -8, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16040000 to the nearest one million.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -49.192641 and -0.2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 4*i - 0*h + 3*h, 5*h = -25. Let r be 1 + -2 + 1\/i. Factor 8\/7*x - 8\/7*x**2 + r + 2\/7*x**3.\nAnswer: 2*x*(x - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**2 - 8*w**2 + 7*w**2 + 18*w**2.\nAnswer: 17*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -2\/9075 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51.73318mg to grams.\nAnswer: 0.05173318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -167\/798 and 65\/2256744.\nAnswer: 2256744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**2 + 3*u + 6. Let g(q) = -1. Let r(l) = 4*g(l) + j(l). Suppose 24 = 661*i - 667*i. What is r(i)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of 2*m**2 + 10*m + 5\/672*m**8 + 1\/24*m**4 + 0 - 1\/16*m**6 - 1\/420*m**7 + 0*m**3 - 7\/120*m**5. Find x, given that p(x) = 0.\nAnswer: -1, 0, 1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -48.7 - -51.7. Let k = -729 + 8017\/11. Let n = 0 - -0.5. What is the closest to k in -4, f, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 430 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -9*f + 12*f. Sort -1, 4, f, 2.\nAnswer: -1, 2, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) - (2*sqrt(325) + 5) - (2*sqrt(325) + -4)) + (-2*2*sqrt(78))\/((-2*sqrt(54))\/sqrt(9)).\nAnswer: -13*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 439.3 + -454.3. Put w, -46, 3\/2 in descending order.\nAnswer: 3\/2, w, -46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 87610?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 9*y**2 - 15*y + 9. Let v be b(-7). Suppose -5*x + 6 = -d - 7, 4*x + 2*d = v. Let t = 14 - 9. What is the remainder when t is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -295, -1844, -5901, -13726, -26579, -45720, -72409?\nAnswer: -107906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 24. Let d(o) = -5*o + 6. Let u be d(j). Factor -71*w**2 - 15*w + 5*w**3 + u*w**2 + 5*w.\nAnswer: 5*w*(w - 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18580226 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 3 = -t. Suppose 2*b - t*b + 9 = 0. Suppose -4*l + l = -48. Calculate the remainder when l is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12673737 a multiple of 1611?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 16742676 (base 9) to base 12\nAnswer: 2998913","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*b**4*t - 54*b**4 + 4*b*t + b + 2*t wrt b?\nAnswer: 36*b**2*t - 648*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 517407*a**2 + 2*a + 450314?\nAnswer: 1034814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 3:50 AM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (-4)\/10 - (-104)\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v + 5*y - 10, -4*v = -18*y + 13*y - 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*f + 63841 - 2573. Calculate the highest common factor of 34 and f.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w**3 + 5*w**2 - 5*w + 14. Let y(p) = -2*p**3 - 6*p**2 + 6*p - 13. Let b(t) = -6*v(t) - 5*y(t). Find the first derivative of b(o) wrt o.\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 4621*z**2 + 0*z - 4622*z**2 + 0*z. Let b(o) = 2*o - 1. Let h(y) = -11*y + 37. Let g(x) = -5*b(x) - h(x). Calculate k(g(r)).\nAnswer: -r**2 + 64*r - 1024","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -293*c**2*h**3*k - 3*c**2*h**2*k**2 - c**2*h*k**2 - 5*c**2*k**2 + c*h - 192*c*k**2 - 90*h**3*k**2 + 2*k**2 wrt h?\nAnswer: -1758*c**2*k - 540*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 - 6) + 5 + -1. Suppose 0 = -3*j + 15, 0 = m + l*m + 5*j - 49. Is (-636)\/m*(-2)\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 579637342.\nAnswer: 2, 113, 733, 3499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 101 - -84. Suppose 0 = 2*m + 3*v + 835, -m - v - n = 230. What is m rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 6, -37, -118, -249, -442, -709, -1062?\nAnswer: -1513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11b8 - 1?\nAnswer: 11b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -4 + 3 + ((-2 + sqrt(475))*6*-3 - ((sqrt(475) - (-1 + sqrt(475) + 1)) + -4)))**2.\nAnswer: -6660*sqrt(19) + 155269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -6.4338006?\nAnswer: -6.4338006","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 27 = 4*h, 5*h - j = -0*h - 10 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 - (18 - -30 - 17).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of -k**4\/3 + k**2\/2 + 2*k. Let z(g) = -g**3 + 55*g**2 + 2*g - 108. Let f be z(55). Give a(f).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(847) - (3*((sqrt(847) + -1)**2 - sqrt(847)) + sqrt(847))).\nAnswer: -2542 + 99*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 399*c - 14. Let y(b) = 184*b - 7. Let p(q) = 6*d(q) - 13*y(q). Let s = 27 - 19. What is p(s)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10101\/(-325) - (-4061)\/131.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) + 2*sqrt(84))*5)\/(sqrt(432) + 2*sqrt(432)).\nAnswer: 5*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 420 - 227. Suppose 25231 = -170*o + h*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6550, 6546, 6542?\n\"Answer: -4*k + 6554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -1 - (26 - 26).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 621?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3\/2)*u)\/u**(1\/22)*(u*u*u*u\/u**(-2\/9)*u)**(3\/37) assuming u is positive.\nAnswer: u**(-149\/1221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 375, 758, 1145, 1536, 1931, 2330?\nAnswer: 2733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -23163d (base 14) to base 7\nAnswer: -13104406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9649912537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8645495*t**3 - 70362066*t.\nAnswer: -51872970*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**3 + 11*t**3 - 10*t**3.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(2 + 1) - 0. What is the second biggest value in 20, -1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**3 + 68*l + 49*l - 183*l - 62*l**2 + 66*l.\nAnswer: 2*l**3 - 62*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27619\/6 - 4583. Let u = -3970\/3 - -1310. What is the common denominator of u and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, h: 4, m: 2}. What is prob of picking 1 h and 1 m?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3260, 3252, 3242, 3230?\nAnswer: 3216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28\/85 + -7847\/340. What is the common denominator of o and -75\/88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 - 12*q - 7. Let b be c(-8). Suppose -b = -14*y + 9*y. What is the third derivative of 6 + 2*r**y + 4*r**2 - 6 + 0 wrt r?\nAnswer: 120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**2 - 44*q + 2. Let d be u(-20). Let c = d + -76. Suppose -3*n + 3*w = -c, -5*n - 8 - 2 = 5*w. Which is smaller: n or -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14153, -28289, -42425, -56561, -70697?\nAnswer: -84833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1920820 divided by 8731?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5982518, -5982938, -5983646, -5984648, -5985950?\n\"Answer: -c**3 - 138*c**2 + c - 5982380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 22*r**2 + 52*r + 106. What is b(-24)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 135 - 270 = 0. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 381.2 - 381. Which is the closest to 1? (a) -4 (b) 0.03 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -966502.04 rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/2091?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 4*w + 3 = 47, 0 = 130*q - 121*q + 3*w - 15 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15372 - 15371.94223. What is z rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7733 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13561744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 34245940 and 34245939 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4*(-72)\/896)\/(6\/8). Let p = 892\/3933 - 2\/437. Put p, d, 0.2 in decreasing order.\nAnswer: d, p, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 410.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-15) - 27\/(-5). Suppose 55 = p*g + 5*c, 4 + 4 = g + 4*c. What is the remainder when 33 is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - y + 2, -10*m + 3*y - 6 = -8*m. Let l = 12 - 7. Suppose m = b - 92 + l. List the prime factors of b.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -4*x + 1. Suppose 5*m - 3*h + h = 0, -3*m + 1 = -h. What is l(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 4. Suppose 0 = 3*m - 3*r, w = -2*m - 2*m + 5*r. Suppose 0 = 4*i, -i + 2 = t + 2*i. Solve m = 2*v + t - 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.7 - -2.7. Let t be 18\/4 - 2\/(-4). Suppose 0*b - 7 = b - t*o, 0 = -4*b - 4*o - 4. What is the second smallest value in w, 4, b?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 7 = 5*h, 6*l = 2*l - 2*h - 81 + 83 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5 = 2. Suppose -t*n + 2*c = -136, 5*n + c - 4*c - 225 = 0. Is 21 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rpurphhuvugurv. What is prob of picking 1 u and 2 r?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v. Let d(c) = 5483*c**2. Determine d(u(p)).\nAnswer: 5483*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -393.\nAnswer: 1\/393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 16*y**2 + 2*y + 4. Suppose -3*c + 12*k - 57 = 9*k, 0 = -2*k + 6. Give q(c).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 236 + -208. Let q = 57 - 26. Let w = q - s. What is the biggest value in -0.05, w, 1\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - 2) + 2 - -11. Suppose -3*j - t = -1. Is 1\/j - 1760\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1466033\/984368 - 1\/20944. Is l bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2008890707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**2 - 34*s - 52. Let l be i(-14). Suppose j + 2*j + 4*y - 248 = 0, 5*y = 10. What is the greatest common factor of j and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 47*a - 2. Find the common denominator of -4*((-3)\/108)\/(6\/372) and o(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -4, 1, 327?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/199 or -2874?\nAnswer: -1\/199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -12207 and -12203 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that s**4\/4 - 3819*s**3\/4 - 53649*s**2\/4 - 49829*s\/4 = 0.\nAnswer: -13, -1, 0, 3833","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3002904?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of -131*x**8\/168 - x**7\/105 - x**4\/8 + x**3 - 59*x**2 + 1. Find the second derivative of a(k) wrt k.\nAnswer: -5240*k**3 - 24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2415293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 0 = 2*i, 2*x + 4*i - 12 = 0. Suppose -2*s + 3*u + 68 + 69 = 0, 66 = s - x*u. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 a factor of 97290746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.131 + -0.231. What is the second biggest value in q, -0.2, -5, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1012 - 724. What is the greatest common factor of m and 225?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 3*f**4 + 8*f**3 + 3*f**2 - 8*f. Let c(m) = -m**4 - 3*m**3 - m**2 + 3*m. Let d(s) = -8*c(s) - 3*w(s). Find the third derivative of d(l) wrt l.\nAnswer: -24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**2. Let x(j) be the first derivative of -74*j**3\/3 - 341. Determine g(x(z)).\nAnswer: 10952*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 267 or 1333\/5?\nAnswer: 267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 2 + 2)*(0*j + 0*j + j**3 + j**3 + 0*j**3 + 2*j**3 + (0*j + 2*j - 4*j)*(2*j**2 + j**2 - 5*j**2)).\nAnswer: 8*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 3 = -d - 2*h, -3*h = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of 0*q**3 + 6*q**2 + 0*q + 0 + 0*q**4 + 1\/15*q**5. Let i(m) = -m + 4 - 4. Calculate s(i(t)).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7147043 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*y**2 - 5449*y + 5479*y - y**2 - 3*y**2 - 10*y**3 in the form o*y**2 + s + t*y + b*y**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*o - 52*o - 490 = 0. Calculate the highest common factor of 1205 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5720289 (base 10) to base 6.\nAnswer: -322334453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 0.7, 1\/3, 4 in increasing order.\nAnswer: -2\/7, 1\/3, 0.7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71, 139, 211, 287?\nAnswer: 367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113 - 218 + 56*i - 54*i + 105.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x - 17. Let t(m) = m**3 + 9*m**2 + 8*m + 6. Let f be t(-8). Calculate the remainder when 1328\/18 - f\/(-27) is divided by b(-12).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4445593 divided by -50.\nAnswer: -4445593\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -222*q**3 - 3*q**2 - 584*q**3 + 3*q**2.\nAnswer: -806*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 271682\/951 > 287?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/4*(-7)\/((-7)\/(-2)). Sort 0, 4\/7, y in ascending order.\nAnswer: 0, 4\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*u**2 + 734 - 371 - 51*u**2 - 363.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -93231, -93232, -93233, -93234?\n\"Answer: -m - 93230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 7*n**2 + 5*n - 7. Let b be m(7). Let c = b + -34. Let r be (1\/(-3))\/(c\/54). Let j(w) = w**2 - w. Give j(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/2)*((g**(1\/23)*g)\/g)\/g*(g*g*g**10\/g*g)\/(g*g\/(g**(-3)*g)) assuming g is positive.\nAnswer: g**(301\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2076*u - 780*u + 19806 + 76890 = -1390*u for u.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-3))\/(35\/(-21))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + s + s + 300 = 0, s = -2*q + 150. Suppose -q = 3*k - 8*k. Calculate the greatest common divisor of k and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 6*u**2 - u - 1. Let q = -44 - -54. Suppose 4*l + o = -4, 0 = -3*l + 2*o - 6*o + q. Calculate s(l).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 4 + 1 = 0. Suppose 2*v + x = 9. Suppose 7*u - 3 = v*u. What is the smallest common multiple of u and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in -0.09, 0.1, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wywwywy. What is prob of sequence www?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0, -7, 0.2, 1, -29\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 13 - 313007.75\nAnswer: -312994.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 18 = 5*c - 4*x, 0 = 5*c - 4*x - 42. Suppose -5*z = -4 - c. Let r = 1 - 2. What is the nearest to r in -1, -0.3, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3297679*c*k**2*s**3 + 113*c*s**3 - 4499*c*s**2 - k**2*s**2 - s**3 + 2 with respect to k.\nAnswer: 6595358*c*k*s**3 - 2*k*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 5*c + 5*c)*(-15*c + 6 - 6).\nAnswer: -30*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m**2 + 21*m - 5. Let o be f(10). Let z be 30\/o*1 - (-1 + 0). Solve 3*n - z = 2 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 4*z + 36 = 0, -1976*f + 4*z = -1974*f - 10 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k + 0*k + 0*k)*(0 - 3 + 0) + (4 - 2 - 4)*(-20*k - 23*k + 52*k) in the form a*k + l and give a.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -6*(3 + sqrt(242))**2.\nAnswer: -1509 - 396*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b - 5. Let h be l(4). Is (4045\/10)\/(h\/6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -37620, -2, 0, -6.\nAnswer: -37620, -6, -3, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*c**3 - 73*c**3 + 156*c**3.\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 485893.\nAnswer: 485893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -14453 (b) -0.2 (c) -4 (d) 4 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3032101 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -4 (c) 162\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/(-6))\/(22\/33). Let f be (-9)\/56 - c\/7. What is the smallest value in 0.1, 1, f?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 4*r - 75 = 0, 5 + 20 = x + 5*r. Let d = x + -26. Which is greater: d or 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of x**3\/3 + x**2\/2 + 22. Let h(b) = -b**3 + b**2 - b - 2. Let n(c) = -h(c) - 2*o(c). Is n(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 545175733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 15 + 122. Suppose -3749*l + 3756*l = 966. Is w bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**2 + 10*q + q + q as b*q + w + t*q**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(420) + sqrt(420)*1))\/sqrt(12))\/((sqrt(336)\/(sqrt(300) - sqrt(12)))\/sqrt(4)).\nAnswer: -40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 479 divided by -3?\nAnswer: -479\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - ((-138)\/(-27) + -2). Let j = 3.48 - 1.51. Let y = j + -1.57. What is the nearest to 0 in i, y, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -59\/72 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1329051.04 and -302.7.\nAnswer: -1329353.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 823305*n**3 - 1590766*n.\nAnswer: 4939830*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2128161 and 0.042.\nAnswer: -2128160.958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 14) in base 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 4*l**3 + l**2 - 2*l + 12. Let v(h) = -9*h**3 - 2*h**2 + 5*h - 23. Determine -5*f(k) - 2*v(k).\nAnswer: -2*k**3 - k**2 - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 2010001010?\nAnswer: 2010001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 10:27 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.09 - 0.49. Let n be (24\/(-30))\/(4\/(-2) - 0). What is the closest to n in -0.02, t, -0.2?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -1.4. Let i = v + -0.3. Put -2\/7, i, -5 in descending order.\nAnswer: i, -2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -6*r + 6. What is the lowest common multiple of 14 and r - 15\/9 - 29\/(-3)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**(2\/5))**(-39))**(-5\/11))**10 assuming k is positive.\nAnswer: k**(1170\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 288768 and 9024?\nAnswer: 288768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 8*o**2 + 26*o - 225. Calculate l(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -100777 + -f9?\nAnswer: -100870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 55222230 divided by 105\nAnswer: 525926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.023 - -27.977. Let y = 755 + -783. Let p = y + r. Is 2 bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6946?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express c**3 + 0*c**4 + 4*c**4 - 1 + 0*c**3 + 2 in the form f*c**2 + p*c**3 + t*c**4 + a + h*c and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26*n**5 - 2117*n**3 - 4*n + 17979.\nAnswer: 520*n**3 - 12702*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*t - 34*t = -1512. Let o(v) be the second derivative of -v**5\/20 + 13*v**4\/6 - 13*v**3\/6 + 49*v**2\/2 - 2*v. Is o(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1801 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7781159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73 - 227 + 5 - 44*t + 73 + 76.\nAnswer: -44*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -44 or 554769\/19?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -62 - 52. Suppose -4*q = -6*h + 2*h + 136, 3*q - 84 = -3*h. Let w = h - d. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-3)*f*f**(-16\/5)*f**5*f**8 assuming f is positive.\nAnswer: f**(39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 70 in 6, -14.264, -0.1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(30)\/(sqrt(10) + sqrt(40)\/sqrt(4) - sqrt(10)) - sqrt(3))*-4)**2 - -4*4*(sqrt(3) + 2))*-3.\nAnswer: -96 - 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -119007 + 196286. What is the ten thousands digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 2784662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 615930 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.7 + 0. Let u = 12049.9 + -12050. What is the nearest to 1 in u, i, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 11*i**2 + 2. Let n be l(11). Let x be 6*(-2)\/12*n + 71. Calculate the highest common divisor of x and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5663607, 22654382, 50972341, 90617484, 141589811, 203889322?\n\"Answer: 5663592*u**2 - u + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + 1b8a?\nAnswer: 1b91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 526376 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: Suppose -64 = 6*b - 274. Suppose -i + 5*g + 0 = -5, -25 = -5*i - g. What is the least common multiple of i and 675\/b - 2\/7?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 208 divided by -32.\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-64)\/(-20))\/(6\/45). Suppose -2*v + 2*m - 6*m + r = 0, 5*m = -5*v + 40. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 177 - 227. What is the nearest to 1 in -0.1, 3, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -220*c**3*o**3 + 223*c**3*o**2 + 2*c**2*o**2*v - 34*c*o**3*v - 39*c*o**2 wrt o.\nAnswer: -1320*c**3 - 204*c*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39691\/4 + -9923. Sort 3\/2, o, -4934 in ascending order.\nAnswer: -4934, o, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (11\/22)\/((-9)\/(-10)) and -1 - 103*1\/(-10)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1493*b**3 - 52*b**3 + 3024*b**3 + 3118*b**3 + 955*b**3.\nAnswer: 8538*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, e: 7}. What is prob of picking 4 l?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5c + cda?\nAnswer: c7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h**2 + 5*h - 4. Suppose -5*n = -c + 16, -5*c = -2*n - n + 8. Let b(u) = 3*u**2 - 6*u + 3. Let k(d) = n*b(d) - 3*i(d). Factor k(q).\nAnswer: -3*q*(q - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(147) - (sqrt(147) + 1)) + 3 + 4*(-1 + -4*sqrt(147) + sqrt(147)))**2.\nAnswer: -336*sqrt(3) + 21172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 101726?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 14*k - 91. Give v(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20863?\nAnswer: 31, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 751, 1096, 1429, 1744, 2035, 2296, 2521, 2704?\n\"Answer: -f**3 + 352*f + 400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 40, 74, 108, 142?\n\"Answer: 34*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -4*r**3 + 2*r**2 + 1. Let z(f) be the third derivative of f**6\/120 - f**5\/60 + f**2 - 12. Determine -u(y) - 2*z(y).\nAnswer: 2*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**2*f**2 - 352*a**2*f + a*f + 27*f**2 wrt a.\nAnswer: 2*f**2 - 704*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**3 - 11240*j**2 + 11240*j**2.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -4, 1 in descending order.\nAnswer: 1, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2 + 3 + ((sqrt(275) - (1 + sqrt(275) + 2)) + 0 + (sqrt(275) - (0 + sqrt(275) + 2) - (sqrt(275) + sqrt(275) + 1 + 0)))**2.\nAnswer: 120*sqrt(11) + 1144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1127, 8949, 30141, 71387, 139371, 240777, 382289?\nAnswer: 570591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19113 and 138?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 m, 1 l, and 1 t when four letters picked without replacement from toobtmltotmtt.\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2 + 0.1. Let h = -0.24 + -1.96. Let x = h + -0.8. Sort 1\/5, x, c in increasing order.\nAnswer: x, c, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -160*m**4 + 37*m**3 + 161*m**4 - 206*m - 80 - 37*m**3 wrt m.\nAnswer: 4*m**3 - 206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 755 + -492. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/13)\/(178\/1157)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 4 = 0, -4*s = -56*r + 57*r + 3 - 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*n**2 + n**2 + 3*n**2)*(5 - 2 - 1) + (3 + 2 - 4)*(-7*n + 5*n**2 + 7*n).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 78954754 - 325354754. Round a to the nearest 1000000.\nAnswer: -246000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*k - 2*f, -4*k + 2*k - 8 = -2*f. Suppose k = -0*h - 4*h. Suppose z + 0*z - 6 = h. What is the least common multiple of z and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -1528172*n + 17. Let h be m(-13). Let t = 33771111 - h. Suppose t + 7035142 = -6*q. Round q to the nearest 100000.\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 11:45 AM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -57, -78?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -9. Suppose -n*y = -11*y + 10. Suppose 0 = -y*t - v + 23, -v - 3*v = -5*t + 51. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7)*1*3)**2 - (0 + sqrt(847))) + 3.\nAnswer: -11*sqrt(7) + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*k**4 + 158*k**2 + 1013*k + 6284397 wrt k.\nAnswer: -24*k**3 + 316*k + 1013","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**5\/3 - 8*d**4 + 82*d**3\/3 + 4*d**2\/3 - 128*d + 320\/3 = 0.\nAnswer: -2, 1, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 20 = 5*m, a + 12 = 3*m - 4*a. Suppose -48 = -m*y - 0*y. Solve 5*i + 3*c = -y, -2*c - 4 = -c for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 17 (b) 5 (c) -1314\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d - 1. Let f be p(6). Let k = 9 + -2. Suppose -5*r = b + f - 2, -r - k = b. Let i(x) = x**2 + 6*x - 6. Calculate i(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -9*d - 6. Let p(b) = -8*b - 5. Calculate 3*j(r) - 4*p(r).\nAnswer: 5*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3 - 22*v**2 - 80*v - 56.\nAnswer: 2*(v - 14)*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1668 divided by 1?\nAnswer: -1668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 238230 (base 13) to base 7\nAnswer: 10123056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -5. Let u be -1 + 12 + (-6 - -3). Let k(f) = -2 - 2*f + m*f + u. Determine k(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 13, f: 6}?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7174568, 14349153, 21523738?\nAnswer: 28698323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 12*z**4 + 14526*z**3 + 12347595*z**2\/4 - 161200875*z\/4 + 255459375\/2 = 0?\nAnswer: -930, -293, 25\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2*m - 82 = 0, -3*s - 2*m = 57 + 22. Sort 12, 4, s in decreasing order.\nAnswer: 12, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3279, 6557, 9835, 13113, 16391?\nAnswer: 19669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*j - 1269 = -317*j + 8832 for j.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1058*u**4\/9 - 77648*u**3\/9 + 69320*u**2\/3 - 15200*u.\nAnswer: -2*u*(u + 76)*(23*u - 30)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 1)*(2*g - g - 2*g) + (-35*g + 107*g + 40*g)*(1 + 3 - 3) to f*g + s and give f.\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 34 = 4*n + 10, 5*s = -n + 26. Let m = 5 + n. Let g(x) = -3*x + 1. Calculate the least common multiple of m and g(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15760312?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, b: 8, t: 2}. Give prob of picking 1 b and 3 y.\nAnswer: 32\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1702 + 222. Let q(w) = 149*w**3 - 2*w**2 - 15*w + 33. Let c be q(2). Let o = b - c. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -17, 3.07 in ascending order.\nAnswer: -17, -2\/3, 3.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 251692 and 3649?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 4 - z**3 + 3 + z**2 + z + 4 + 4*z**4 to the form q*z**3 + m*z + p*z**2 + s + c*z**4 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(63) + sqrt(63)*2)**2 - sqrt(7)) + (sqrt(63)*-2)**2 + 2*(2 + -2 + sqrt(112)))*-1.\nAnswer: -816 - 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 392 a factor of 4892495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61 - 61 + q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2056269465 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 5533, 4, -6 in descending order.\nAnswer: 5533, 5, 4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4*l - 130 = n, -n = -4*l - 75. What is the remainder when n is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -4*h**4 + 4*h**3 + 12*h**2 + 26*h + 7. Let w(m) = -3*m**4 + 3*m**3 + 13*m**2 + 25*m + 8. Let v(l) = -4*s(l) + 6*w(l). Solve v(i) = 0.\nAnswer: -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-26925)\/(-102315) - 390\/38\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 3*c - 387, 4*c - 5*u - 621 = -96. Does 15 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 240120001?\nAnswer: 240114442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 3*i - 4 + 1, 3*i - 15 = -a. Solve 0 = -a*t - 9 - 3 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 205 = 4*k - 4*p, 4*k + 2*p - 164 = 0. Suppose -8 - 27 = -7*o. Suppose -o*v + 39 = -k. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2174107*i*r**2 - 2*i*r + 2*i + 81471*r - 1 wrt r.\nAnswer: -4348214*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - b + 6 = 0, -r + 91*b = 89*b for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 2 + 8*g**2 + 2 - 2*g**2 + 0. Let y be w(6). Solve y = -4*h, -3*n + 6*h - 3*h + 9 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.09 - -3.41. Which is the nearest to -0.2? (a) -2\/3 (b) 1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.06 and 22427026747.92.\nAnswer: 22427026747.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -2*w + 96, 4*w + 91 = -21*w + 5*t - 4*t + 196 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yhhyhyhhhyhhhyyyhhh. What is prob of sequence yhyy?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1687 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 a(q) = -1061*q**3 - 2*q**2 + 10*q - 8. Let b be a(1). Are -1064 and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 2*y + k + 14, 2*y + 2*k - 8 = 0. Suppose c + 1 = y. Suppose 5*a - c*h = 25, 2*a + 4 = -2*h + 2. Is a <= 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of -168*d**2 + 0*d + 0*d**3 + 0*d**4 - 101\/60*d**5 + 0. Let i(k) = 3*k. Determine i(w(a)).\nAnswer: -303*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4859, 6597, 9491, 13541, 18747, 25109?\nAnswer: 32627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b**2 + 4*b - 3. Let q be i(2). Let h = 2 - -4. Let a be h + -1 + -13 + 14. Solve -3*n + 2 = -2*m, 3*m + 2*n - q = a for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilogram in grams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 9 = -3*k, 2*k = 4*b + 3 - 9. Let w be (-2)\/(-16) + (b - 0). Sort -3\/4, w, 5\/6 in decreasing order.\nAnswer: 5\/6, w, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12277\/12 or -1022?\nAnswer: -12277\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 352763 is divided by 164.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3*o**2 - 1 + 9*o + 5*o**2 - 3 + 7. Suppose -5*l + 5*a - 9*a - 51 = 0, -41 = 3*l + 5*a. Give s(l).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -292 + 292. Solve v = l - 6*l - 3*j - 12, 0 = 2*l - 2*j - 8 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-12120.112\nAnswer: -2424.0224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from ddllldlddddld?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -84152280*k**3 + 135690694 wrt k?\nAnswer: -252456840*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4369423379?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1687 by -4.\nAnswer: -1687\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83 - 163 - 4*y**2 + 95 + 211*y.\nAnswer: -4*y**2 + 211*y + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-180)\/100*(-6290)\/(-222).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 11*h - 14.\nAnswer: 11*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -27 (base 13) to base 4\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25338*k + 25673*k = -23785 for k.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 2*z - 30. Suppose 3*b - 2 = z. What is the smallest common multiple of b and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2*q = 35. Let j be (8 - -1)*3\/3. Suppose 4*u + 86 + q = 5*w, -w = 3*u - j. Calculate the greatest common factor of w and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2798?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -173*u + 550*u + 433*u as p + x*u and give x.\nAnswer: 810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 275*l = 6 + 1369. Solve 21*i - 64 = l*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37751 - -37751.3. What is the closest to -8 in -31, q, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 29177, 58404, 87715, 117152, 146757, 176572, 206639?\n\"Answer: 7*f**3 + 29178*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5ac8c6 (base 16) to base 13.\nAnswer: 13040c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -250 - -252. Suppose 18*r - m*r + 139040000 = 0. Round r to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 16*d**5 - 100*d**4 + 232*d**3 - 244*d**2 + 112*d - 16 = 0?\nAnswer: 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 6 = 2*z - 0*z, -5*z - 15 = -3*n. Let p = z + 6. Suppose 165 = -2*r + 2*t - 205, -p*r - 545 = -t. Round r to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2512, -2542, -2572, -2602?\n\"Answer: -30*v - 2482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.9 + -0.9. Let l be 8\/(-10)*210\/(-294). Let g = 1.94 - -0.06. What is the closest to i in g, l, -3\/2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.092*59.\nAnswer: -5.428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 68 - 71.6. Let h = -3.89 - 0.11. Let c = h - g. What is the nearest to 2\/7 in 5, c, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m**2 - m - 4. Let a(q) = 8*q**2 - q - 7. Let j(h) = -4*a(h) + 7*v(h). Let u(x) = 3*x**2. What is j(u(n))?\nAnswer: -36*n**4 - 9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 24243 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -185948093, -185948095, -185948097?\nAnswer: -185948099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 4:29 PM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 476\/10 + (-1)\/((-30)\/(-18)) is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -0*q + q. Suppose 0 = q*x - 231 + 47. Does 12 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120120 + -10111020?\nAnswer: -11001210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 9*n**2 - 2*n - 20. Suppose -2*b = b - 30. Is 10 a factor of d(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2071?\nAnswer: 19, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24511*n = 24493*n + 180 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (b**3 - 2*b + 2*b)*((-461 - 1214*b + 461)*(-1 + 5 - 3) - 3*b + 4*b + b) in the form m*b**3 + t*b + x + a*b**2 + z*b**4 and give z.\nAnswer: -1212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 24 = -0*b. Suppose b*w = w. Suppose 3*c - 4*t + 0 = 12, 2*c + 2*t = 8. Solve -c*l = -w*l + 12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/4 (b) -2\/7 (c) -2 (d) -3\/4 (e) 0 (f) 81\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43487 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 8 = 5*y, -3*p - 7 = -0*y + 2*y for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**2 + 4*a**2 - 2*a**2 - 3*a**3 - 4 to c*a**3 + b*a**2 + p*a + n and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j. Let z(r) be the third derivative of 11*r**4\/24 + r**2 - 8*r. What is z(n(d))?\nAnswer: -22*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/1512)\/((-1)\/6)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4060766, 2 in decreasing order.\nAnswer: 2, 1, -4060766","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 2.6 (c) 1\/2 (d) -71\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -16. What is the highest common divisor of 5 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004289 to six decimal places.\nAnswer: -0.000429","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 8:06 PM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 12*k**3 + 3*k - 127 - 17*k**2 - 112 + 295 - 13*k**3. Give f(-17).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8.5+14299.57\nAnswer: 14308.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 6 - (0 - 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -13\/11 at most as big as 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13\/6 - -3\/4. What is the common denominator of -17\/2 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36*c + 8*c**3 - 36*c - 3)*(0*c + 0*c - c - 1 - c + 1 - 3*c + 4*c + c + (0 - 2 + 4)*(-c + 2*c + 0*c) - 4*c + 0*c + 3*c - 4 + c + 4 - c - 3*c - 5*c).\nAnswer: -56*c**4 + 21*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 2:41 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1560425.\nAnswer: 5, 62417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 4*t**2 - 4*t - 1. Let g(q) = q**3 + 13*q**2 + 34*q + 35. Let l be g(-10). Determine h(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-3 + (sqrt(304) + sqrt(304) + 2*sqrt(304)*3 - (sqrt(304) + 2)*2)))**2.\nAnswer: -5376*sqrt(19) + 175888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (2 - -3 - (-16 - (1 + -11)))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c - 4. Suppose 3*n - 19 = -4. Let j(g) = -3. Let r(f) = n*j(f) - 4*w(f). What is the first derivative of r(s) wrt s?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -111 - -337\/3. Factor -2*m - 2\/3*m**2 - g.\nAnswer: -2*(m + 1)*(m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 14918694 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5828)\/(-16) - 6\/(-8). Suppose 5*z + 5*p - w = 0, -4*z + 0*p = 3*p - 292. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25301 or -25300?\nAnswer: -25301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1696041 = -76*d + 6399377. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0\/2)\/(0 - 1). Let z be (9 + h)*3\/9. Find the third derivative of 0*k**3 - 3*k**2 + 5*k**3 - 5*k**z + k**6 wrt k.\nAnswer: 120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -428*j**2 + 2*j. Let p(v) = -4759*v. What is p(g(i))?\nAnswer: 2036852*i**2 - 9518*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131 + 31*n + 47*n - 108*n - 150 + 34*n.\nAnswer: 4*n - 281","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + z**2. Let s be x(-1). Suppose 6*h - s*h - 28 = 5*p, 0 = 3*p + 3*h + 6. Let f = p - -22. What is f rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1418, 6283, 14394, 25751, 40354?\nAnswer: 58203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2888, 5499, 8116, 10745, 13392?\nAnswer: 16063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**8\/m)\/m)\/m)**(-7\/5) assuming m is positive.\nAnswer: m**(-42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*c**3*j - 5*c*j + 1919*c + 296532*j + 4 wrt c?\nAnswer: -9*c**2*j - 5*j + 1919","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.6 + 0.9. Let i = -0.9 - m. Let v = 0.116 - 0.616. What is the nearest to i in 1\/7, v, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of -21*m**2 + 31*m + 9. Find the first derivative of j(o) wrt o.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/248 in 1, -5, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z - 1. Let r be x(4). Let b(d) be the third derivative of 7\/24*d**4 - 2\/3*d**3 - 1\/60*d**5 + 0*d + 3*d**2 + 0. What is b(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 7:24 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -265*j + 891 = 32*j. Let u = -12 + 12. Sort u, 5, -2, j.\nAnswer: -2, u, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 274 - 274.2. Which is the closest to 2\/7? (a) 0.3 (b) j (c) -5 (d) -0.034\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of m**5\/35 - 9*m**4\/28 - 190*m**3\/21 + 474. Find d, given that b(d) = 0.\nAnswer: -10, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19399194 and 108.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76409 is divided by 15280?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -24, -23, -14?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of u**6\/18 + u**5\/15 - u**4\/4 - 5*u**3\/9 - u**2\/3 + 6. Factor t(o).\nAnswer: o*(o - 2)*(o + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 + 7)\/(4 + 35\/(-10))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 + 23*p - 117. Let c be j(12). Suppose 0 = 5*x + 13 + 37. List the prime factors of (-37)\/(-2) + c\/x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, t: 1, j: 14}. What is prob of sequence jto?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 5*y - 1545, 5*y - 1237 = 44*o - 40*o. Let g be (-87 + 0)*o\/33. What is the highest common factor of g and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*(-185)\/110 + 6\/4. What is the nearest to -0.1 in 1, -2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 273942816 divided by -6522448\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 873 + -466. Does 15 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -185207, -2 in increasing order.\nAnswer: -185207, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1051.56 + 1065. What is z rounded to zero dps?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -428188, -428183, -428178, -428173, -428168?\nAnswer: -428163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111011011011110 + -1010001110?\nAnswer: 1111010001010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8127\/16 - 5739\/80. Are 435 and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - -15. Suppose 15 = -5*g, 2*y - 4*g - 27 = g. Calculate the remainder when -1*(y\/(-3) - 34) is divided by x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -0.7238\nAnswer: 11.2762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(1573) + 1*sqrt(1573))**2*-1 - (2*(sqrt(13) - sqrt(78)\/sqrt(6)) + sqrt(13))*1) + -5).\nAnswer: -6297 - sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p + 26. Calculate b(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2476104645569 + 2\nAnswer: -2476104645567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 3, -12, 2\/11 in ascending order.\nAnswer: -12, -0.1, 2\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -226*t - 2900. Determine a(-13).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**2 + 7*t**2 - 2*t**2)*(0 + 0 - 2*t) + (0 + 0 + 3*t)*(-t**2 - 2*t**2 + 2*t**2).\nAnswer: -7*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -118 divided by 12?\nAnswer: -59\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of 115*l**4\/8 + 133*l**2. Let s(h) = 2*h**2. Calculate s(x(z)).\nAnswer: 238050*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 367, 4, -178 in ascending order.\nAnswer: -178, -5, -2, 4, 367","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*-195*(-7)\/42. What is the greatest common divisor of 52 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 570*p - 310?\nAnswer: 570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.08 + 0.08. Let v = 8.16 - a. Let i be (-314)\/471*(-3)\/4. Is i greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 129 and 688.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2\/5 - 72*a\/5 - 3036\/5.\nAnswer: 3*(a - 46)*(a + 22)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/68)\/(27\/18)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1\/4, -1\/6 in descending order.\nAnswer: -1\/6, -1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -152741*h**4 + 33*h**2 - 16 wrt h?\nAnswer: -3665784*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -183 (base 13) in base 3?\nAnswer: -101020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 2*i - 1066, 3*i + 3 = -0*i. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000526866318 to seven decimal places.\nAnswer: -0.0000527","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12793331027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 18644988 divided by -17\nAnswer: -1096764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (27\/9)\/(-36*51\/24*1)\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 794220 rounded to the nearest 10000?\nAnswer: 790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29954 = 265*j + 29159 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 382267856.\nAnswer: 2, 199, 211, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 833783 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/22 + 10832\/44. Suppose -a = -7*i + 1847. Suppose 11*b + 68 - i = 0. What are the prime factors of b?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + j**2 - j - 2. Let n be p(-2). Let r be 18\/((n\/(-2))\/2). What is the greatest common divisor of r and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 125 and 173960?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**3 + 4*n**2 + 2*n - 1. Calculate z(-2).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-32)\/(-144) - 932\/(-18). Suppose x*g = 47*g + 320. Find the second derivative of 12*y - g*y**3 + 9*y + 34*y**3 wrt y.\nAnswer: -180*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -26073, -104141, -234189, -416163, -650009?\n\"Answer: 9*f**3 - 26044*f**2 + f - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 688346?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -3*j**5\/7 + 4*j**4 - 96*j**3\/7 + 146*j**2\/7 - 93*j\/7 + 18\/7 = 0?\nAnswer: 1\/3, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -11. Put 3, 2, 0, g in ascending order.\nAnswer: g, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5539, 21342, 47415, 83758, 130371, 187254, 254407?\nAnswer: 331830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*1*8\/((-48)\/(-3))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1436\/39 + 75853\/2184. Calculate the common denominator of -103\/768 and r.\nAnswer: 5376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -349435.5 rounded to the nearest one thousand?\nAnswer: -349000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4103*b**2*q - 3*b**2*v - 577*b*q*v - 135*b*v wrt b?\nAnswer: 8206*q - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75, -49, 175, 693, 1601, 2995?\nAnswer: 4971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 274037 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 88\/28*(9\/30)\/(141\/(-9870))?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1180*u**2 - 2863 + 5720 - 3889*u**2 - 2857)*(7*u**3 - 4*u**3 + 7*u**3).\nAnswer: -27090*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11 + 55155058?\nAnswer: 55155070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 177266102 - -6?\nAnswer: 177266110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/58572 and -97\/36.\nAnswer: 58572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (11 - (-7 - -23 - -5)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + n + 2)*(-n + n - 2*n) + (3 - 3 - 2)*(n**2 - 4*n**2 + 2*n**2) + 0*n**2 + 2*n**2 - n**2 - 6*n**2 + n**2 + 2*n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2767*a**2. Let r(l) = 6*l**2. Give z(r(w)).\nAnswer: -99612*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3242*o + 2 = 3*i + 3244*o, -2*o + 18 = -5*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 718 + -717. Let c = 0.4 - 1. Let a = -0.2 - c. Put d, -5, a in descending order.\nAnswer: d, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, k: 1, b: 3, i: 3, y: 2, u: 1}. What is prob of picking 1 y, 1 r, and 2 b?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v - 7. Let d be j(-6). Let y = 18 + d. Determine b so that -2*b**3 - 2*b**y + 3*b**3 + 4*b**4 + 3*b**3 - 6*b**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -14*j**2 + 2*j + 3. Suppose 0 = 11*c + 89 - 67. What is m(c)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -257c - -1e8?\nAnswer: -2384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d**3*s**4 - 67*d**3*s**3 - 2*d**3 + 3*d*s**2 - 2*s**4 + 3*s wrt s.\nAnswer: -48*d**3*s - 402*d**3 - 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/1)\/(1 - 0). Let x be (2\/1)\/(4\/5). Let p be ((-4)\/6)\/(16\/(-12)). Which is the closest to 2\/7? (a) h (b) p (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 4*o + 223648 = 0, -5*o + 173960 = 3*q + 6242. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-1 - 0)) + -10 + 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 357 = 5*f - 410, 5*f - 11 = -2*y for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 4*p**2 + 16*p - 8. What is z(-7)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*z + 0)*(3*z**2 + z**2 - 3*z**2) + 6*z - z**2 + 214 + 218 - 2*z**3 - 434.\nAnswer: -4*z**3 - z**2 + 6*z - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 48\/7. Suppose 0 = 2*b + 3*r + 11, 11*b - 6*b = -4*r - 10. Factor 2\/7*k + h*k**b + 1\/7.\nAnswer: (k + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (44936 - -168) + (-4)\/((-8)\/6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - z**2 - 4*z - 4. Let p(i) = 5*i**3 - i**2 + i - 1. Let k be p(1). Calculate the remainder when (1*2)\/(-2) + 84 is divided by n(k).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45735844.\nAnswer: 2, 7, 11, 163, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -10, 271 in decreasing order.\nAnswer: 271, 1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l + 442 = 10*l. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 651 a factor of 43127867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 93\/2*9\/(-1620)*6*-20?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1697*a**4 - 966*a.\nAnswer: 20364*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -335*o = -334*o + 5*c + 28, -3*c = -5*o + 56. Solve 0 = -o*t - 405 + 349 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2. Let f(b) be the third derivative of b**5\/60 + b**3\/3 + 3*b**2. Let c(j) be the first derivative of f(j). Determine c(i(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1210395*q**2 + 3019740*q wrt q.\nAnswer: -2420790","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 594.25 + 0.69.\nAnswer: 594.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 4*p**2 + 4*p + 2. Let y(q) = -q**3 + 5*q**2 + 9*q - 24. Calculate the remainder when a(-6) is divided by y(4).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhiihhhhikhhhhh. What is prob of sequence hi?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 3*c - 11. Calculate the remainder when p(12) is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 3) in base 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-44)\/30 - (-138 + 56)\/246.\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14494*g**2 - 14472*g**2 - 4 + 4.\nAnswer: 22*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/15*864\/336*(-7)\/16. What is the smallest value in a, 20, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 2*b = -12, 3 = -2*b - b. Suppose -a*w + 15 - 98 = -3*h, 39 = h + 4*w. Suppose -3*i = -h - 464. Is i a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -2*r**2 + 86*r - 704 = 0.\nAnswer: 11, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 0.01035.\nAnswer: -0.00414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 5:24 PM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 319 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00021811 to six decimal places.\nAnswer: -0.000218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*t**3*w**3 + 24090*t**3*w**2 - t**3 - 2*t**2*w**3 + 57*t*w - 1796 wrt t.\nAnswer: -30*w**3 + 144540*w**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (518\/6216)\/(2\/112)?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16.183 + -7.783. Let j = 101.4 - 90. Let n = j - i. Sort n, -3, 0.1.\nAnswer: -3, 0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -309, -618, -927, -1236, -1545?\n\"Answer: -309*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) -13 (c) 3207 (d) -0.1 (e) 3\/7 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 6 = -36. Suppose 3*d = -x + 6 + 13, 0 = d + 4*x - y. Let b(m) = m**2 + 4*m + 7. Let q be b(-3). Solve -q*c + 3*c - g + 9 = 0, 4*c = d*g for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/1 - 2\/(-1)) + 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 526903983?\nAnswer: 3, 43, 31663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 22575106 to the power of 1\/3, to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 6*g + 4. Suppose 0 = -l - 3*u + 189, g*u - 244 = 3*l - 822. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 130344*x**5 + 5127*x**2 wrt x?\nAnswer: 7820640*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 6\/63*3*(-28)\/12\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1676*b*i - b - i - 222 with respect to b.\nAnswer: -1676*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -44100 (base 8) to base 3\nAnswer: -221101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - 4*t + 1. Let w be 8\/(-3)*9\/(-4). Calculate the remainder when 24 is divided by z(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12.08 - 12. Let t = -1206.92 - i. Let w = -1207.00499 - t. What is w rounded to 4 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004605716 rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 2*r**2 + 4*r + 3. Let c be g(-3). Suppose -4*q - q + 50 = c. Let b = 75 - 65. What is the greatest common factor of q and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10 - 2*174\/36. Let x(v) be the second derivative of i*v**4 + 0 + 6*v - 11\/6*v**3 + 0*v**2. What is the second derivative of x(s) wrt s?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*j + 711 = 28*j. Sort -5, j, 2, -4.\nAnswer: -5, -4, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 21 = -3*i, -4*i - 2*w = -5*w - 1. Which is smaller: -4 or i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/11 (b) -0.3 (c) 0.027 (d) -526 (e) 2 (f) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*g + 112 + 64. Let v(p) = -p**2 - 12*p - 19. Give v(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three eighths of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 - 7*b - 12. Let h be t(8). What is the closest to 0.1 in -3, -6, h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 1) + 3 - 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 89 + 1107?\nAnswer: 1195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1)*(-2*r + 4*r + 0*r) + (0 + 4 - 2)*(5*r - 5*r + 8*r) + 2*r + 2*r - 2*r + (0*r - 4*r + 2*r)*(0 - 1 + 3) - 2*r + 2 - 2 - 5 + 2*r + 5.\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 smaller than 4448?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*u - 4*u, 0 = 5*w + 2*u + 68. Let d be (-21)\/w*(-12)\/(-555)*-9. Let k = d + -4\/37. Which is the second smallest value? (a) k (b) -0.5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 + -18. Which is the third smallest value? (a) -0.1 (b) -0.5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-seven fifths of a decade in years?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and 190.7817.\nAnswer: 190.6817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-45)\/(-12) - 3\/(-12). Suppose o - 2*u = 93 + 9, -110 = -o + z*u. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -6. Let j(f) = 3*f. Let s be j(p). Let c be (0 - -3)\/(s\/2). Solve y = -c*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15017790?\nAnswer: 2, 3, 5, 19, 26347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 105 + 1?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.19, 5435.4, -4, 0.03?\nAnswer: 5435.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2275\/70*(40 - 0).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15159?\nAnswer: 3, 31, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -4*y**3 + 12231980*y**2 - 48927836*y - 61159820 = 0.\nAnswer: -1, 5, 3057991","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77 = -18*b + 174 + 55 for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 7. Let o be y + (-1 - 5) - -2. Let l = 16 + o. Calculate the remainder when 17 is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + x - 1. Let l(s) = s**2 + s - 1. Let y(n) = 13*n**2. Let q(a) = -6*l(a) + y(a). Let k(t) = 4*f(t) + q(t). What are the prime factors of k(-3)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.3 (b) 89 (c) 2.4 (d) -0.3 (e) -1\/402 (f) -5 (g) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 245630 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 2*l**2 + 2*l - 4. Let y = 59 - 52. Let o = y - 4. What is q(o)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + 28. Let q(x) = -x**3 + 10*x**2 - 11*x - 2. Let j be q(10). Let s = 179 + j. What is the remainder when s is divided by b?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 107231191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46 - 43. Calculate the highest common divisor of 1 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z*z\/((z*(z\/(z\/z**3)*z)\/z)\/z)*z))\/z)\/z*z)**(1\/10)\/((z\/(z**3\/z*z*z*z))\/(z\/(((z\/(z*((z\/((z*z**(-15))\/z))\/z)\/z*z)*z)\/z)\/z))) assuming z is positive.\nAnswer: z**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 140, 185, 230, 275?\nAnswer: 320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2270 - -43128\/19. Which is the fourth biggest value? (a) -41 (b) 2\/9 (c) -1\/7 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/4*896\/336?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -953701*x + 2 + 312*x**2 + 953701*x - 2.\nAnswer: 312*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -17*u. Let v be 2 - (2 + -3 - -4). What is the tens digit of g(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/8))**(-18))**(-40)\/(((t*t**3)\/t)**43)**20 assuming t is positive.\nAnswer: t**(-2670)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37023*q**3*y**2 + 130*q**3*y + 9763*q**3 - 496*q - 1 with respect to y.\nAnswer: -74046*q**3*y + 130*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9527*r**2 - 4949*r**3 + 9527*r**2 + 1924*r**3.\nAnswer: -3025*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 0*u**2 + u**2 + 2*u + 7 + 0 + 2*u. Let x be i(-5). Let l be (2\/(-12))\/(x\/(-16)). Which is the nearest to -0.1? (a) 1 (b) -2\/5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 6:52 PM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 640 divided by -2.\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w**2 + 3*w - 2. Let d be o(1). Suppose d = -y - 1. Let f(a) = a**3 + 6*a**2 + 4*a - 7. Determine f(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 30\/(-20)*8\/3. Sort 0, 9, g in decreasing order.\nAnswer: 9, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.42 - 4.42. What is the fourth biggest value in -1\/4, h, 0.3, 7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -688 = 2553*m - 2596*m. Solve m*o = 8*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.04, -1\/22, -22 in descending order.\nAnswer: 3, 0.04, -1\/22, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6358497527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + 7 + -1 - 0. Let z = 9 + w. Let x be 52\/z + 2\/(-8). Calculate the greatest common divisor of x and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63951693?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 710043984?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2896 - 209 + 1793 = 35*p. Which is greater: 126 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 38*f**2 - 166*f + 83. Let c be r(-42). Let d(a) = -9*a**2 - a + 1. Let u(l) = -11*l**2 + 7*l**2 + 3*l**2 + 0*l**2. Determine c*d(q) + 6*u(q).\nAnswer: 3*q**2 + q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -94 divided by 159293\nAnswer: -94\/159293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7251, -14497, -21749, -29007, -36271, -43541, -50817?\n\"Answer: -3*f**2 - 7237*f - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -12*v - 3. Let b(j) = -j**3 + 3*j**2 + 2. Let h be b(3). Let s be (-1)\/2 + (-5)\/h. Is 20 a factor of g(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - (-5)\/(-3))*27. Let m = 39 + z. What is the remainder when m is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03176 to three decimal places.\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 4\/1852181?\nAnswer: 4\/1852181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-6\/13)\/x*x*x)\/x**(-9)*(x\/(x\/x**(-9\/5)))\/(x*x*x\/x**(-3\/25)))**(-11\/2) assuming x is positive.\nAnswer: x**(-10043\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15*((-12)\/9)\/(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237 is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2066102 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 43 = -3*l + 245, -5*l + r = -500. Let n = -71 + l. Let a be (-40)\/(-3)*252\/n. Calculate the greatest common divisor of 16 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208619 is divided by 269.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -8242.36 rounded to the nearest 100?\nAnswer: -8200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49 - -54. Suppose -f*a = -a + 6*a. Let o(z) = z**2 - z + 19. Is 17 a factor of o(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 101 - 146 = x, 0 = -3*x - 2*y - 690. Let m = x + 234. Calculate the greatest common factor of 18 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1433 - 840. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1487\/9 + -165. What is the nearest to p in -1, 0.5, -3\/5, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*c - 15048 = -44*c. Is c a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4355306, 4355304, 4355302, 4355300, 4355298, 4355296?\n\"Answer: -2*d + 4355308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -314*u**2. Let b(z) = 1794*z - 5*z**2 - 1794*z + 2*z**2. Determine b(a(k)).\nAnswer: -295788*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4, -39, 98, 1\/17, -3?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/7 (b) -4\/9 (c) -1 (d) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**2 + 16*o**2 - 2*o**2)*((1 - 1 - 1)*(-2*o**2 - 2*o**3 + 2*o**2) + 0*o + o**3 + 0*o - 2*o**3 - 2*o**3 + 5*o**3 + 0*o + 0*o + 2*o**3).\nAnswer: 66*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/10 and -61\/666.\nAnswer: 3330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((1*sqrt(378))\/sqrt(7)*2)\/(3*(sqrt(432) + -3*sqrt(432)*1)).\nAnswer: -sqrt(2)\/12 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(2\/3))**(-40)*(n\/n**(1\/4)*n)\/n**(-6) assuming n is positive.\nAnswer: n**(-67\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of 5*y**4\/12 - 13*y**3\/6 + 25*y**2. Calculate the remainder when o(2) is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 25, 32, 41, 52, 65, 80?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -43*r - 170. Determine q(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + q**4 + 1 + (-2*q + 0*q + 4*q)*(3*q**3 - 2*q**3 + q**3) - 30*q - 13*q**4 + 30*q + 9*q**4 + 0*q**4 + 2*q - 3*q**4.\nAnswer: -2*q**4 + 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20328 and 29857476?\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 1416\nAnswer: -1\/1416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -45 - -39. Which is smaller: -11 or v?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q + 5. Let b = -32 + 38. Calculate z(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0)**(-1\/39)*(f\/(f*f**(-1\/3)\/f))**(-4\/15) assuming f is positive.\nAnswer: f**(-16\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(0*q + q + 2*q) - 2 + 3*q + 2 + q - 3*q + 3*q + (3*q - 3*q - q)*(2 - 3 - 1) - 4 + 4 + 2*q.\nAnswer: 11*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**4 + 16*q**3 + 17*q**2 + 2*q + 2. Let t(c) = 9*c**4 + 159*c**3 + 171*c**2 + 21*c + 21. Let l(i) = -21*k(i) + 2*t(i). Let l(d) = 0. What is d?\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01 - 1802169422.\nAnswer: -1802169421.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((364\/8)\/(-13)*-1)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*z - 48. Let u be (0 - 176)\/((-3)\/3). Calculate the highest common divisor of u and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -5*u - 5095, 76*u = 3*j + 71*u - 7655. What is the lowest common multiple of 160 and j?\nAnswer: 2560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 8*u**3 - u**2 + 2*u. Let i(q) = 7*q**2 + 138*q + 7. Let n(x) = x**3 + 5*x**2 + 99*x + 5. Let d(y) = 5*i(y) - 7*n(y). What is 3*a(s) + 2*d(s)?\nAnswer: 10*s**3 - 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, e: 2, l: 1}. What is prob of picking 2 k and 2 l?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/((-1598)\/(-578) + -2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*s - 8. Let g = s + -4. Let q = 131 + -657\/5. Which is the nearest to q? (a) -1\/6 (b) g (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*a - 69*a + 1891 = -6*a - 1611 for a.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2515823\/77 + -209374\/7. Let z = -2760223\/1001 + o. Let f = -36\/7 + z. What is the closest to 2\/3 in f, 1\/2, 3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 86*h + 23*h + 4*h in the form m*h + v and give m.\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 8*z - 220 = 0. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -2*m**6\/3 - 164*m**5\/5 - 77*m**4 + 164*m**3\/3 + 156*m**2 + 1779. Determine v so that k(v) = 0.\nAnswer: -39, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-99)\/44)\/((169\/(-52))\/13).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 0.11, 3, 5, -0.1, 0.53.\nAnswer: -2\/3, -0.1, 0.11, 0.53, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1475 is divided by 376.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/1332 != -61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 5*m = -45, -5*v = 2*m - 15 - 18 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4b6 + -1b2?\nAnswer: -678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -98169918*k**4 - 93150675 wrt k.\nAnswer: -392679672*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -317*w + 9367 = 1442 for w.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**4*k**(-4\/9)*k*(k*(k\/((k**(-1\/3)\/k*k)\/k)*k)\/k)\/k*k*k*k\/k**6 assuming k is positive.\nAnswer: k**(44\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(196)\/(sqrt(175) + sqrt(7)))**2 + (sqrt(84) - (sqrt(84) + 2*sqrt(84)*3))\/sqrt(12).\nAnswer: -6*sqrt(7) + 7\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/8 of a millisecond?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 163362588?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - ((-21)\/(-3))\/1. Let h be ((-8)\/u)\/((-1)\/(-3)). Solve -3*a - 5 = -h*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -170 + 24*h - 4*h**2 - 4*h - 15*h. Let j(d) = -d**2. Let o(n) = -3*j(n) + r(n). Differentiate o(a) with respect to a.\nAnswer: -2*a + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-738)\/(-12)*6\/9. Suppose 5*d = -5*m - 50, -7*d + 2*d = -4*m + l. Let v(j) = -j - 6. Let w be v(d). Solve 2*q = 6, -w*b - q = 4*q for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 58904377 and -8.698.\nAnswer: 58904368.302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*i**5 + 45637786*i**4 + 822173*i**2 + 162*i wrt i?\nAnswer: -240*i**2 + 1095306864*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.4 - 0.4. Let f = 0.2 - -1.8. Let v = a + f. Sort -0.1, 4, v in ascending order.\nAnswer: -0.1, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -234297*v + 1. Let a(y) = 241*y. Determine t(a(b)).\nAnswer: -56465577*b + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 594*g - 3758 = 400 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -23\/34 at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 16 = f + 3*m, -3*f = -m - 18 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 196\/3*n - 16 - 16\/3*n**2.\nAnswer: -4*(n - 12)*(4*n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**4 + i**3 + i**2 + i. Let k(v) = -v**3 + v - 6*v**4 - 5*v - 3*v**3 - 6*v**2. Let r(y) = -k(y) - 4*q(y). What is the third derivative of r(d) wrt d?\nAnswer: 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 251460 or 251456?\nAnswer: 251460","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 702*n + 111. Determine k(0).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8473 and 28725531.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -578 - -1035. Suppose 2*a - g = a - i, -20 = 5*i. What is the hundreds digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 64 + -125\/2. Let w(v) = v**2 + 2*v - 5. Let t be w(-4). Suppose -t*h + 0*h = -9. Is g greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100031232 (base 4) in base 8?\nAnswer: -201556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**0\/z)\/z)**(-14)\/(z**(-1))**(-2\/43) assuming z is positive.\nAnswer: z**(1202\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + r - 4*k + 16, 0 = r + 3*k - 4. Suppose 4*j + 76 = -w, -w - r*j - 41 = -7*j. Let l = w + 57. Solve -3*s + 2*s - l = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/330 and -1\/10041?\nAnswer: 1104510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*z + 21 + z - 6 - 73 as l + x*z and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(425))**2 - sqrt(17) - (-5 + sqrt(17) + 1)) + ((sqrt(425) - (sqrt(425) + (1 + sqrt(425) + 1 - sqrt(425)))) + 1)**2.\nAnswer: -2*sqrt(17) + 855","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 944.61 times -16.64\nAnswer: -15718.3104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -109*p + 69. Let y be o(2). Let t = 180 + y. Which is the smallest value? (a) t (b) -0.5 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2 + m + 4*m**2 + m + m + 6. What is the remainder when i(-3) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 - (39 + (-65 - -28))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000221120222 to seven dps.\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -14, -4, -5 in ascending order.\nAnswer: -14, -5, -4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-three quarters of a litre?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -10, 4\/25?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*p**2 + 2*p + 12*p**2 - 26*p**2 + (p**2 + 0*p**2 + p**2)*(0 + 4 - 2))*(-p**3 - 4*p**3 + 3*p**3).\nAnswer: -2*p**5 - 4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 3)*(144*w - 11030 + 11030) - w + 0*w + 3*w + 2*w + 2*w - 3*w + (-3 + 3 + 2*w)*(-3 + 3 - 7) to the form b*w + n and give b.\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -342533*p**3 + 74872*p**3 - 38178*p**3.\nAnswer: -305839*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 14 - 22*f - 852*f**2 - 32*f**3 - 6.\nAnswer: -32*f**3 - 852*f**2 - 22*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8417?\nAnswer: 19, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 0 = -5*p - 4*t, 3*t = -4*p - 7. Put 3, -1, -3, p in decreasing order.\nAnswer: 3, p, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8802384.\nAnswer: 2, 3, 183383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, v: 9, r: 2, y: 4}. What is prob of sequence rr?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 298 = 5*a + 3*t, 2*a - 7*a - 4*t = -299. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8803, -17478, -26335, -35464, -44955?\nAnswer: -54898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 12. Suppose -3*n + b*n = 0. Solve 4*a - 8 + n = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3*x + 52. Calculate b(-6).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50055 and 243885?\nAnswer: 1065","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -509838 + 509842.999815. Let i = 61.8 + -66.8. Let f = i + a. Round f to five dps.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12001221210202 + 101?\nAnswer: -12001221210101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + b + 16 - 114, 0 = -4*b + 8. Suppose -y*i = -213 + 21. Solve -i*l - 10 = -3*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 225.95 - 226. What is c rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.21 - -207891259.\nAnswer: 207891259.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/((-364)\/(-6)))\/((-14)\/147)*(17 + -5)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of k**4\/24 - 3*k**3\/2 + 2*k**2. Let b = 4 + -4. Calculate f(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -149*d*j**2 - d*j - 32203*d + 230*j**2 - j + 3 wrt j.\nAnswer: -298*d*j - d + 460*j - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 977253?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(300) + -5 - sqrt(300)) + (sqrt(300) - -2*sqrt(300))*-4.\nAnswer: -120*sqrt(3) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*m + 26 = 5 - 145 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -5. Suppose -b + 19 = o. What is the highest common factor of 136 and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3.4 and -23.52970291.\nAnswer: -20.12970291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + 5*a - 20. What is r(-7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28457, -29504, -30551?\nAnswer: -31598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/15)\/(22\/6).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3*b**2 + 3. Let d(v) = -6*v**2 + 5. Suppose -5*p - 15 = -0*p. Suppose -5*z + 5 = -4*z. Let g(x) = p*d(x) + z*o(x). Let m(t) = -2*t**2. Give g(m(y)).\nAnswer: 12*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*c + 4*c = -156, 3*c - 6 = 0. Let x = n + 156. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a week in hours?\nAnswer: 2058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -9. Let r(h) = h**3 + 9*h**2 - h - 6. Let l be r(-9). Solve -2*z + f = d, l*z + d - 7 = -0*d for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 101b97 + -154?\nAnswer: 101a43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-144)\/(-96)*(-1)\/6\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33129444 a multiple of 354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 40941*t**2. Let z(f) = 2*f - 610. Determine z(m(w)).\nAnswer: 81882*w**2 - 610","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 0*k = -400. Let v = k - -502\/5. Suppose -2*z + 3*z + 20 = 4*r, 10 = -4*z + 2*r. Which is smaller: z or v?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 at least as big as 841\/39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7119517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 9 = 0, 5*r = -4*s + 6*s - 23 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/16 of a centimeter in micrometers?\nAnswer: 4375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(3*5\/10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 10 = r. Suppose 0 = -o + 3*o - r*t, o = t. Suppose -z + 4 = o, -q + 12 = -2*z + 4*z. Solve 5 + 3 = q*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -2823965\nAnswer: 3\/2823965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*f**3*q*u**2 - 4*f**3*q - 587*f**3*u**3 - 3*f**2*q*u**2 - f*u**3 - 2*q*u**3 + q wrt u.\nAnswer: -3522*f**3 - 6*f - 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27403\/21 - -1305. Let k(x) be the second derivative of -2\/15*x**5 + 0*x**2 + 0*x**3 + 0 + 0*x**4 - m*x**7 - 14\/45*x**6 + 9*x. Solve k(n) = 0.\nAnswer: -2, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*f + 34*f + 11*f - 8 - 52*f + 7*f - 7*f**2 to the form y*f + x + b*f**2 and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*o - 137 - 95. Calculate the remainder when 49 is divided by o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 0*c + 9*c**2 - 6*c + 2*c + 11*c + 7. Let d(o) = 4*o**2 + 3*o + 3. Give -7*d(n) + 3*u(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 4*i - 3*i + (-2*i + 2*i - 2*i)*(2 + 2 - 2))*(-4*i**2 - 7 + 21 - 11).\nAnswer: 24*i**3 - 18*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) + sqrt(891) + 1 + sqrt(891) + 4 + sqrt(891) + 1 + 2 - 6*-5*(sqrt(891) + (0 + sqrt(891) + sqrt(891))*5 - sqrt(891)))**2.\nAnswer: 43776*sqrt(11) + 82342720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6401 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10010 + -21?\nAnswer: -10101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*s**4 + 5*s**4 - 2*s**4)*(2 + 8 - 2) in the form h*s**3 + a*s + k*s**4 + w + u*s**2 and give k.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11388769097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -49 and -48 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and 77.31283.\nAnswer: 78.31283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -40*b**2 + 3*b**2 + 8*b**2 + 3*b**2 + 27*b**2. Let t(x) = 180*x**2 - 3*x. Calculate t(m(c)).\nAnswer: 180*c**4 - 3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - (11\/5)\/(-1). Let u = -810 + 1154. Let s be (-8 - u\/(-40)) + (-8)\/5. Which is smaller: s or w?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39 + 0. Is 8 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2 + 672*g + 15957.\nAnswer: 3*(g + 27)*(g + 197)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-5 - 5 - -4) + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of a**5\/360 + a**4\/48 + a**3\/18 + a**2\/2 + 3. Let p(x) be the second derivative of v(x). Suppose p(i) = 0. What is i?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -40\/72323 and -87\/620.\nAnswer: 1446460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 76961481\/436219 + 2\/62317. Let d = z + -176. What is the biggest value in 14, 0, d?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wx when two letters picked without replacement from {b: 1, k: 1, w: 1, x: 1, u: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -121 - -30498. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3357 + 13427\/4. Which is the second smallest value? (a) -0.3 (b) v (c) 0 (d) -5 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71894 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10.1345 * -5.536.\nAnswer: 56.104592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/2, -2384, 2\/15, -0.2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -4*b**2 + 11. Let d = -8 + 10. Let u(g) = 3 + d - 2*g**2 - 1 + 1. Calculate -13*u(o) + 6*w(o).\nAnswer: 2*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 12. Let n = f + 3. Let w = 0.54 - 0.44. Which is the nearest to n? (a) 0 (b) -3\/4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 764 = 9*j + 125. Suppose 3*o = -41 + j. Solve z - o = -4*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*d - 459*d - 26*d - 24*d + 572*d - 34*d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*(-3)\/24*-8. Solve x*h - 5*h - 9 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -362 + 112 = 50*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2350147 to the power of 1\/3, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.05 or -1\/6?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1303 - -10?\nAnswer: -1233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 63 - (-24 + 56)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 - 1. Let c(n) = 3*n**2 - 1. Let x(s) = -17*s + 475. Let m be x(28). Calculate m*c(f) + 4*p(f).\nAnswer: f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-3 + ((-2*sqrt(1372))**2 - (sqrt(315) - (sqrt(315) + sqrt(315)*2))\/sqrt(5)))*-1.\nAnswer: -5488 - 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 15\/2*(8\/7)\/(130\/91)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1*(-2)\/(-4)*4 is divided by 21\/27 - 5\/(135\/(-6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 6*l + 30. Let r be h(-3). Calculate the remainder when 60 is divided by 17\/(612\/560) + r\/27.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 39 = -4*u + 3, -5*u - 29 = -h. Put -0.026, -1, u in descending order.\nAnswer: -0.026, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 3:47 AM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5041, 4723, 4405, 4087, 3769, 3451?\nAnswer: 3133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1525*h*l**2*y**2 + 7*h*y**2 - 24*l**2*y**2 + 2*l*y**2 + 57*y wrt h.\nAnswer: -1525*l**2*y**2 + 7*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-22)*n**(-2\/11)*(n**(4\/3)\/n)**(-21) assuming n is positive.\nAnswer: n**(-321\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x = x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5059 is divided by 4885.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((((-360)\/10)\/(-6))\/6)\/(-16).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/25 of a kilometer in millimeters?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of c**6\/6 + 3*c**5\/5 + 3*c**4\/4 + c**3\/3 + 267. Find y such that m(y) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/9)\/(52\/(-159)). Let z = -5\/6 + q. Let x = 0.5 - 0. What is the closest to -0.2 in z, x, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 1:08 PM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 3*y + 15. Determine s(9).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 750*b + 109535. Calculate c(-146).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 78829013 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**4\/15 + 122*d**3\/15 + 4966*d**2\/15 - 61854*d\/5 - 975468\/5 = 0.\nAnswer: -39, -13, 39, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, -214, -13, -2 in descending order.\nAnswer: -3\/8, -2, -13, -214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32 * -7723.3.\nAnswer: 247145.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 30*-6848\nAnswer: -205440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - 11*n - 18. What is x(-7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 1664 - 246. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -161 + 168. What is the remainder when 20 is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 17*u - 47. Let m(g) = 3*g**2. What is m(k(r))?\nAnswer: 867*r**2 - 4794*r + 6627","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 12 - 8. Suppose 2*u - t = 10, 3*u + 8 = a*u - 2*t. Solve -u*k = -5*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-80)\/(-140))\/((-2)\/(-7)). Let r(g) = g**3 - 6*g**2 - g + 2. Let d be r(6). Let m be 2\/d + 7\/2. Solve 0 = m*z - z + s for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28611.58383 rounded to the nearest one thousand?\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.3 + -2.2. Let w = 1.2 + z. Let i = -2.17 - -2.2. Which is the second biggest value? (a) 0 (b) 2\/9 (c) i (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jnnwnnnnnnwwnnwwnnnn. Give prob of picking 3 n.\nAnswer: 91\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 61*j**3 - 6*j**2 + 5*j. Let h be o(5). Round h to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 309\/63 + (-44)\/(-21) + -2 - -7216.\nAnswer: 3, 29, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-13)\/(-65)*25.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.489 (b) 1\/2 (c) 2\/7 (d) -5 (e) -3 (f) 0.003\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53 + -40. Let a(r) = -4*r**2 + 12*r**3 - 3 - t*r**3 + 5*r - r. What is a(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 544 = 10*f - 146. What is the greatest common divisor of 161 and f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - s + 16 = -6*s, -s = 4*m - 6. Sort 1, m, 5, -2 in descending order.\nAnswer: 5, m, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 24 = 2*i - 38, -i + 5*f = -21 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -287, -4, 4, -2, 0 in descending order.\nAnswer: 4, 0, -1, -2, -4, -287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -63\/16, -0.016, -1?\nAnswer: -63\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33839300 is divided by 116286.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12148 is divided by 5967?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - i + 36 = 5*p, 2*p = -i + 4. Suppose -3*m - 19 = -2*j, 8*j - 5*m = 3*j + 50. Calculate the lowest common multiple of j and 0\/2 + (p - 12) + 11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - (-177)\/6)*1. Let i = 4359 + -4357. What is b in -n*b**2 - i - 25\/2*b**3 - 16*b = 0?\nAnswer: -2, -2\/5, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**2*n)**(-5)\/((n*n*n*n**(-6)*n*n)\/((n\/(n**8\/n))\/n)) assuming n is positive.\nAnswer: n**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/29 (b) -74 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -133110202 (base 4) to base 7.\nAnswer: -1043011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 - u. Let p(d) = -d**2 - d. Let j(x) = -6*n(x) + 5*p(x). Let m be j(-1). Suppose 6*l - 8*l + 36 = m. Is 18 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 0 = -r. Let n = r - -15. Let q = 1 + n. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-2 - -10) - (-4 - 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**4 + 3*q**4 + 2*q**4 + (0*q - 2*q**3 + 0*q)*(8*q + 2 - 2) + 248*q**4 - 474*q**4 + 351*q**4.\nAnswer: 111*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -48*t - 1. Let d be (1\/3 + -1)*3. Let z be k(d). Let x be 90249962\/z - (-2)\/5. Round x to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*1 + 3 + -1. Let z = -0.49 + -0.01. Put z, b, -4 in decreasing order.\nAnswer: b, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -738*t**2 - 48680*t + 1848 = 0. What is t?\nAnswer: -66, 14\/369","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/14456 and 71\/1181778?\nAnswer: 4727112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c - 1. Let n be b(-5). Suppose n*g - 3 = g. Suppose x - g = 162. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence auu when three letters picked without replacement from {a: 2, h: 1, n: 1, u: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/43146 and 25\/27138834.\nAnswer: 27138834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 11:48 PM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 190 and 304.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 0, 2103 in ascending order.\nAnswer: -30, 0, 2103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 639*d**3 - 2020*d**3 + 542*d**3 + 644*d**3 + 185*d**2 + 10*d = 0.\nAnswer: -2\/39, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -5*y**4 - 155*y**3 - 535*y**2 + 155*y + 540 = 0.\nAnswer: -27, -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -152*a + 140. Let r be m(14). Let v be ((-2)\/8)\/(-2 - 3969\/r). Is 72 bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s\/(s\/(s\/(s\/(s\/((s*(s\/s**(1\/4))\/s*s*s)\/s)))))*s)**(-7\/3))**(10\/11) assuming s is positive.\nAnswer: s**(-105\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*m + 9465 = 3855 for m.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2973, 2975, 2977, 2979?\n\"Answer: 2*s + 2971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -400404003 (base 5) in base 11?\nAnswer: -986776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 93? (a) 13 (b) -3 (c) 119 (d) -2\/5 (e) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*f - 464 = 11*f. Let z = -64 + 42. Let w = f + z. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 10*y**2 - 26*y - 3. Let u be g(-5). Let m(w) = w**2 + 2*w - 3. Let f be m(-3). Solve f*x = u*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 + -12. Suppose -u = 3 - x. Factor 2*h - u*h**3 + 4*h**2 - 5*h + h.\nAnswer: -2*h*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 5, -436.5, -10?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 154\/33*((-33)\/6 + -2). Is 5 a factor of (-1656)\/(-14) - (8 + 270\/k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, w: 1, j: 1, s: 2, f: 2, y: 1}. What is prob of picking 1 j, 1 w, and 1 a?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 403260 divided by 1222?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1073613?\nAnswer: 3, 113, 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.7842*933.24\nAnswer: -731.846808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y*y*y\/(y\/((y*y**6\/y*y*y)\/y)))*y*y**(-14)*y*y**(1\/2)*y\/(y*y\/(y\/(y\/(y*y\/((y*y**20)\/y)*y)))*y))**(-13\/2) assuming y is positive.\nAnswer: y**(975\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -ccddd (base 15) in base 2?\nAnswer: -10011110111101111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29046?\nAnswer: 2, 3, 47, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2694 is divided by 641?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, -4, -3 in increasing order.\nAnswer: -4, -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1067 is divided by 135?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 5 - (7 + -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*x**4 - 2*x**3 - 85*x - 1?\nAnswer: -216*x**2 - 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a centimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 162 = 764. Let w be 0 + (v\/36 - -2). Let g = w - 107\/18. What is the common denominator of -65\/3 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 21, 9, -5, -21?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.6 + 3.6. Let v = 2.51 - -1.45. Let w = -0.04 - v. Which is the closest to 0.2? (a) u (b) w (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-363)\/(-22) + -10)*4\/2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 7.1. Let c = -114 + 113.5. Sort -5, t, -0.4, c.\nAnswer: -5, c, -0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3c92b1 (base 13) in base 14?\nAnswer: 2a6306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**6*w*w\/((w*w**(-9)*w*w)\/w))\/((w\/w**(-1\/2))\/w**(-1\/2)) assuming w is positive.\nAnswer: w**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 215.648 rounded to the nearest 10?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3827384*t**3 - 57*t**2 - 22615*t wrt t.\nAnswer: -22964304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11156 is divided by 1890?\nAnswer: 1706","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 415243689*s**2*v - 155160333*s**2 with respect to v.\nAnswer: 415243689*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.203402238 - -0.2034. What is h rounded to seven dps?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 9338503.\nAnswer: 5\/9338503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81239 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of -n**8\/1512 - n**7\/945 - 42*n**2. Factor q(j).\nAnswer: -2*j**4*(j + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -4*n - 1 + 5, 3*x = 3*n + 3. Put 5, -1, x in ascending order.\nAnswer: -1, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7839.148 kilograms to grams.\nAnswer: 7839148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -63.3 - -13.6. Let q = -87 - s. Round q to the nearest integer.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 894, 15, -2, 76 in decreasing order.\nAnswer: 894, 76, 15, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l + 27. Let h(c) = c - 14. Let a(b) = 7*h(b) + 3*v(b). Let g be a(5). Suppose 12 - g = 3*u. Solve -j = -u*j + 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 532 divided by -133.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(700)*2.\nAnswer: -20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3307 - 79*c**2 + 3307 + 4*c to w*c + o*c**2 + f and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 19 + -21 + 6 + 1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**2\/6 + 1288*q + 2488416 = 0 for q.\nAnswer: -3864","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35487 - 16120 = -1271*g - 16019 for g.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33706?\nAnswer: 2, 19, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, j: 2, k: 1, z: 2, v: 2}. Give prob of sequence vv.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14580871171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -111132 + 41?\nAnswer: -111041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7275 and 35125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -3601463?\nAnswer: -1080438.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-14) - (-474)\/(-21). Is -23 greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-21) - (-5)\/7. Suppose 0*f - f = -n. Let q = 0.5 - 0. Which is the closest to f? (a) -0.2 (b) q (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 + 0 + 0)*(3 - 2 - 2) - 671 - 611 + 7*w**2 + 1117.\nAnswer: 9*w**2 - 165","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 6:46 PM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 133462?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2 - 1241160*y - 1241163.\nAnswer: 3*(y - 413721)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.182002556 to four dps.\nAnswer: -0.182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 27 = 4*w, 3*w + 4 + 2 = 3*o. Suppose -z - 67 = -w*m, 4*m + 3*z = z + 106. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -556*n**2 - 271*n**2 + 1378*n**2 - 553*n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 647 is divided by 319?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 450\/23 and 20 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -50\/11 and (-8 - 798\/(-108)) + (-5)\/(-2).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 7*r. Let d(g) = 21*g. Let f(i) = -2*d(i) + 7*j(i). Let s be ((-72)\/14)\/(2\/(-14)). Let x(y) = -36 + 15*y + s. Calculate 13*f(b) - 6*x(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-342)\/380)\/((-2)\/(-4)).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of 9*t + 0 + 16*t**2 + 1\/180*t**5 + 1\/18*t**3 - 1\/36*t**4. Let q(b) be the first derivative of j(b). Solve q(g) = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 3*s = 4*s - 103, 0 = b + s + 27. Let y = 62 + b. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*b + 4*b + 10. Suppose -i = 5*r - 3 + 17, -2*r - 8 = 0. Solve -5*m = -i*o + b*o - 29, -2*o + 3*m = 17 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 16*p**2 - 45358732*p + 34019040 = 0. Calculate p.\nAnswer: 3\/4, 2834920","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, t: 2}. What is prob of sequence tktk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 4396\/25703?\nAnswer: 4396\/25703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/9*24*13\/(-52)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 10*n**2 + 6*n + 10. Let z be k(-10). Suppose 2*r + r = 630. Let j be (-50)\/r + -3*(-4)\/21. Is j greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 785492 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 13936 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -12) + -6 + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/2 and 1\/2180.\nAnswer: 2180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*k = 39 + 36. Suppose -4*z + 2*r + 1940 = 0, 2*r + k*r = 0. Is z a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*sqrt(156))\/(sqrt(84)\/(sqrt(14)\/sqrt(2))) + (sqrt(1300)*-2)\/(sqrt(4) - -1*sqrt(36)).\nAnswer: 19*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - (-3)\/9)*9\/6. Solve 0 = 5*n + u*x + 15, -n - 2*x - 11 = 2*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - w - 1. Let g(y) = 4*y. Suppose 4*p + 2 + 2 = 0. Let a = -2 - -2. Suppose a = -z + 4*n - 18, 4*z + n = 1 - 5. What is p*g(q) + z*b(q)?\nAnswer: -2*q**2 - 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 9*m. Let o(x) = 2*x - 104. Calculate w(o(r)).\nAnswer: 18*r - 936","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20582.99 - 2307.\nAnswer: 18275.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -934.\nAnswer: 1\/467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 59*q**2 + 46*q - 86. Is o(60) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/3)\/((26\/(-1535313))\/(-1)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 2*o, 4*o - 75 = -5*t - 30. Suppose -4 = 5*x - 7*x, -t*x - 1147 = -d. What are the prime factors of d?\nAnswer: 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35660 + 26973. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -421511, -843052, -1264601, -1686158?\n\"Answer: -4*i**2 - 421529*i + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (32 - (-1075)\/(-50))\/7. Determine f so that -c*f**3 - 1\/2 - 7\/2*f**2 - 5\/2*f = 0.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -341, 1.3, 4, 3.2, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-8)*(-14 - (-182)\/13). Solve 5*b = -o + 15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-1\/4))**(-1)*(j\/j**1)**(2\/47) assuming j is positive.\nAnswer: j**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -104*f + 64. Let x be k(-15). Suppose -536 = -2*j + j + 4*v, 0 = -3*j - 4*v + x. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1131 - -102?\nAnswer: 1233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -571802 - -282003. Let c = d - -289798.530002. Let i = c - -0.47. Round i to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 9*p - 303. Let g(k) = -2*k. Calculate t(g(i)).\nAnswer: -18*i - 303","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -26*c - 74. Let h be l(-5). Calculate the highest common divisor of h and 224.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 + 5*j. Let c(m) = -m**2 + 6*m + 1. Let k(d) = -2*c(d) + 3*n(d). Suppose -2*a - 2*x = 3*a + 96, -2*a + 4*x = 48. Let p = 24 + a. What is k(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33.9 + -31.9. Let z = -0.1 - -0.1. Which is greater: b or z?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -334832 (base 10) to base 12.\nAnswer: -141928","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5*7\/1 + 0)*-6. Suppose v = y + y. Is y a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66257 and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of d**4\/3 - 7*d**3\/6 + d**2 - 1. Let g(h) be the second derivative of m(h). Differentiate g(a) wrt a.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2015388, 4030772, 6046156, 8061540?\n\"Answer: 2015384*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -l**4\/4 - 13*l**3\/2 - 229*l**2\/4 - 195*l - 225 = 0.\nAnswer: -10, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8034042 divided by -10599?\nAnswer: -758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 9, -2, -3, -8, -4 in ascending order.\nAnswer: -8, -4, -3, -2, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - 1 - (-2 - 0). Sort b, 2\/9, -2.\nAnswer: -2, 2\/9, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31247357 to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -684 at least -682?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0568 + -36.0568. Which is smaller: 15 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 2*c - c)*(-20 + 11 + 12).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 16. What is the remainder when 21 is divided by ((-12)\/5)\/(d\/20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -6. Let b be 1 - (-1 + (m - 2)). Suppose 3*y + 0*f = -b*f + 15, -4*f = y - 14. Solve y*c + 19 = -3*c - 4*t, 4*c = -3*t - 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2410.33344 and -0.5.\nAnswer: 2409.83344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n + 2*o + 14, 417*n - 10 = 417*n + 2*o for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -178*v - 185*v + 93*v - 19 + 40 + 30 with respect to v.\nAnswer: -270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 27*l**2. Let b(g) = -36*g - 34*g + 105*g - 38*g. Give i(b(r)).\nAnswer: 243*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 476 - -591. Does 42 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*g - 16*g = 32. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84, -168, -252?\nAnswer: -336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 26, 3, -1 in increasing order.\nAnswer: -1, 3, 17, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 19 + 2 = 0. Calculate the highest common divisor of 105 and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25249422 plus 116.8925?\nAnswer: 25249538.8925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3749999*z - 2. Let b be y(-2). Round b to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xmpffmmppxfpp. What is prob of sequence pmp?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of v**4\/6 + v - 157. Let c(i) = 509*i. Give h(c(j)).\nAnswer: 518162*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 12:34 PM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2717?\nAnswer: 11, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -1101101000100101001010010?\nAnswer: -1101101000100101001010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 16 - 2 - 46*f + 11*f - 4. Let i be t(-7). Suppose 4*r - 2*x = 228, 6*r + 5*x = r + i. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 9314 = -5*c - 9264, 3*u + 5*c - 50 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(-792)*8*1\/(-1)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2710 + -12?\nAnswer: 26ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -9*2*9\/(-6). What is the greatest common factor of q and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of h**7\/60 - 13*h**4\/24 - 5*h**3\/3 - 10. Let m(s) be the third derivative of d(s). What is the derivative of m(w) wrt w?\nAnswer: 42*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (52 - 54) + 2 + (-5 - 1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13501 and 138.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 412644.\nAnswer: -1\/412644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 61152987 and 651.\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/q**7*q\/(q**(-1\/3)\/q*q*q) assuming q is positive.\nAnswer: q**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 8. Let p be (1 + o)*4\/3. Suppose -30*i + 51 = -39. Solve 2*v = 4*c + p, -i*v + c - 2*c - 8 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276957 is divided by 205.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*g - 2*p, 644*g = 639*g - p - 28. Sort -41, -1, g, -32 in increasing order.\nAnswer: -41, -32, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q*q*q**1*q\/q**(4\/7)*q\/((q*q**(1\/8))\/q)*q**(-3\/7))\/(q*q**6*q\/(q*q\/(q*q**(1\/2)\/q*q)*q)*(q*q**0*q*q)\/(q*q**(-6)\/q)) assuming q is positive.\nAnswer: q**(-77\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2*l + 6 = 0, -2 = 2*d - 2*l - 4. Suppose -d*g + 10 = g. Solve -2 = 4*s + g for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 2\/51, -0.635, 2\/9, 0.5, 4 in descending order.\nAnswer: 23, 4, 0.5, 2\/9, 2\/51, -0.635","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - 0) + -11 + 143. Let a = 81 + d. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1625256 (base 14) in base 6?\nAnswer: 1024255524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*b = -66*b - 227 - 1170 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/255749 equal to 59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13491 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.04 + -61.04. Let z = u + 64. Sort z, 2\/3, -2\/9, 2.\nAnswer: -2\/9, 2\/3, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18\/11 in -3\/2, -4, 5\/7, 59\/7, 0.1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 13) in base 15?\nAnswer: -1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -346*j + 401*j = 700*j + 1290 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 21*h**4\/5 - 894*h**3\/5 + 11112*h**2\/5 - 6042*h - 42237\/5 = 0. What is h?\nAnswer: -1, 39\/7, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*o + 2 - 56*o - 2 in the form y*o + z and give y.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/4)\/(1*-4). Suppose -n - 2 = -2*n. Which is smaller: n or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 23, 14.9, -0.4438 in decreasing order.\nAnswer: 23, 14.9, 0.1, -0.4438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 2:53 AM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 14 from 70837.\nAnswer: 70823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011101111010001100111010 - -11?\nAnswer: -1011101111010001100110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 312525420 (base 6) to base 3\nAnswer: 101021010120210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 10*u**2 + 2*u + 112. Let k be c(5). Let h(n) = -n**2 - n. Let z(y) = -y**2 - 18*y - 2. What is k*h(a) + z(a)?\nAnswer: 2*a**2 - 15*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -14*u - 44. Let o be k(-8). Suppose -252 = -4*n - o. What is the greatest common divisor of n and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -12. Suppose 4*y - 185 + 37 = n. Is y a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 100, 86, 72, 58?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 10*k**3 + 13*k**2 - 22*k - 9. Let u(g) = 7*g**3 + 9*g**2 - 15*g - 6. Let f(o) = 5*n(o) - 7*u(o). What are the prime factors of f(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27342)\/2232)\/(21\/12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0592 and -259964?\nAnswer: 15389.8688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 PM and 4:56 PM?\nAnswer: 180","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4*a = -5*s - 140, 5*a + 160 = -5*s. Let r = s - -29. What is the lowest common multiple of r and 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1680 and 22575?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 4 = -4*h. Let i = 11 - 6. Suppose 3*o = -5*u + 4, u - i*u - 3*o = -2. Solve -6 = h*j + u for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2421 (b) 0.9 (c) -0.1 (d) -1\/2 (e) -3 (f) -2\/9 (g) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeechcehq. Give prob of picking 1 q and 1 e.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 23027153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -9*s**3 - 2*s + 7*s**3 + 3*s**3 + 6*s**2. Let x(n) = -n**3 - n**2 + n. Give v(l) + 2*x(l).\nAnswer: -l**3 + 4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 270055.1 to the nearest one hundred.\nAnswer: 270100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of -3*x**5\/20 + x**4\/8 - x**3\/6 + 7*x**2 - 4*x. Let o(m) = -18*m**2 + 7*m - 3. Calculate -3*o(y) + 7*u(y).\nAnswer: -9*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(-14)*(-7)\/((-420)\/(-16))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13945 + 9*b - 9608 + 84*b.\nAnswer: 93*b - 23553","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10602 is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 427 and 140196?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33 - -77. List the prime factors of z.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -2. Suppose -p*z + 38 = -32. Suppose -8*y + 42 = -62. Calculate the remainder when z is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 4\/3, -0.8, 4.3, -4, 11.3 in descending order.\nAnswer: 11.3, 4.3, 4\/3, 0.3, -0.8, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 7*w - 33600. Let h(d) = 4*d**2 + d - 1. Let l be h(1). Suppose -2*c + l*c + w = 0. What is c rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/((16\/28)\/4). Round x to 0 dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 7*x + 16 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -357 (base 15) to base 7\nAnswer: -2131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5730 + 6121. Calculate the remainder when d is divided by 135.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 155cc8 (base 15) to base 4\nAnswer: 3330001013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/264*66\/(-9))\/((-8)\/(-18))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**2 + 51*l - 186. Let w be d(21). Solve -3*n = 3*a + w, -4*a - 10 = 4*n - 2*a for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -33010*j - 264188. Determine y(-8).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 2*s - 1. Calculate i(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*h**3*n + 3435*h**3 - 151*h**2*n + 11*n wrt n.\nAnswer: -4*h**3 - 151*h**2 + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45\/7 + 187\/28. Suppose -w + 3*w - 6 = -2*t, 5*w = -3*t + 15. What is the third biggest value in 2\/5, z, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3143*y**3 + 6275*y**3 - 5*y + 13*y - 3140*y**3 - 8*y.\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 28694291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41618 + 41706. Let s(h) = 3*h**2 - 2*h. What is the lowest common multiple of s(-3) and i?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -65.408 + 72.3. Let r = n - -0.108. What is the smallest value in 5, -1\/2, r, 3\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26.5*0.4\nAnswer: -10.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3614 + -27?\nAnswer: 3587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**(-2\/13))\/(y*y*y**6\/y*y)*y**(1\/7)*y*(y**(-2\/11)\/y)\/y assuming y is positive.\nAnswer: y**(-7200\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -627 divided by 410709\nAnswer: -209\/136903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bybfnrns. Give prob of picking 2 b.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -749, -1084, -1419, -1754?\n\"Answer: -335*r - 414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 13, t: 2, a: 3}. Give prob of sequence hthh.\nAnswer: 143\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -744 + -95. Let x = c + 839.000873. Round x to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 59\/5 of a centimeter?\nAnswer: 118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (15\/(-10))\/(9\/(-12)). Suppose 5 = -2*v + 3*m + x, 0 = 3*v + 2*m - 2. Suppose v = 2*n + 2*u - 96, -23 = 4*n - 5*u - 188. Is 21 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/17? (a) 5 (b) 0.2 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 150\/(-125) + (-1371)\/(-255) + -4\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-3 + 4*sqrt(432) + -3*(sqrt(432) - (-2 + sqrt(432)) - sqrt(432)))**2.\nAnswer: -1512*sqrt(3) + 21248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -52.1 + 52. Which is the biggest value? (a) x (b) 1.1 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37203.7 + 37204. Let p = -114 + 1025\/9. Which is the third smallest value? (a) -3.7 (b) p (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**2 - 16 + 6*d**3 - 5*d**3 + 2*d**2 to the form w*d**3 + g*d + x + m*d**2 and give x.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 8*s**2 + 2. Let x = -2 - 6. Let c be p(x). Suppose -2*v - 150 = -3*a, c*v - 139 = -5*a + 111. Is 12 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 441, 449, 467, 501, 557?\n\"Answer: f**3 - f**2 + 4*f + 437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 603287972 is divided by 318.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (25\/(-15))\/(((-33)\/99)\/((-5)\/(-150)))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3735*k + 3740*k + 2*h - 374, 343 = 4*k - 13*h for k.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 110*f*i**3*s*z**3 - 2*f*i**2*z**2 - 23*f*i + f*s + 2*i**3*s - i*z**2 + 5*s*z**3 wrt z.\nAnswer: 660*f*i**3*s + 30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3365029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 157 + -153. Suppose 5*l + 13 = u*a - 1, 4*a - 22 = l. Solve -v = v - a for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -6 (c) 20 (d) -4 (e) 0.09 (f) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/(-1) - 0)*1. Let i(y) be the first derivative of y**2 - 4*y + 203. Let d(q) = 3 + 0 - 2. Give s*d(r) + i(r).\nAnswer: 2*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-6)*((g*g\/(g\/g**(1\/7)))\/g*g)\/g*g)\/(g*g**(1\/4)\/g*(g*(g\/(g*g**(-2\/15))*g*g)\/g)\/g) assuming g is positive.\nAnswer: g**(-2621\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -10 (b) 0.5 (c) -2.61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -4\/5, 193, 1, -3, -0.5 in descending order.\nAnswer: 193, 1, 0, -0.5, -4\/5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 910\/117*((-54)\/36)\/((-3)\/3)?\nAnswer: 35\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8940705*r**4 - 2*r**3 - 14331755*r**2 wrt r.\nAnswer: 214576920*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 7*h - 1. Let o = 13 - 50. Let r = -24 - o. Is d(r) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 126791, 3, -4, 5.\nAnswer: -4, 3, 5, 126791","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 2\/5 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of 3*v**7\/280 + 5*v**4\/12 + v**3\/6 - 8*v**2. Let i(d) be the first derivative of w(d). Find the first derivative of i(u) wrt u.\nAnswer: 27*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 2*w**2 + 2*w + 1. Suppose 12 = -51*r + 55*r. Determine z(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 583*m - 301*m + 169 - 297*m + 140.\nAnswer: -15*m + 309","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -720 - -7925\/11. Suppose 57*b = 5*b. Are b and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a3a (base 12) in base 15?\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 52519 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - w)*(2 - 4 + 1) + (-3 + 1 + 1)*(479 - 479 - 3*w))*(4 + 2 - 5).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -91*x**2. Let j(p) = -2122*p + 4137*p - 2151*p. Determine j(z(w)).\nAnswer: 12376*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12324904\/219 + -56278. Calculate the common denominator of -17\/72 and x.\nAnswer: 5256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 35130772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 120\/(-150)*((-125)\/30)\/(-5)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11011001101000000 (base 2) to base 10\nAnswer: -111424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 0 + 6*i + 10 - 7 + 12. What are the prime factors of m(9)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 968 and 58743080.\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/431 + -2299\/31032. Let y = 1\/18 - a. What is the closest to -1\/3 in -0.008, y, 0?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11844 is divided by 90?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 154 and 1428.\nAnswer: 15708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3902 (base 10) to base 15\nAnswer: -1252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*m**2 + 52*m**3 - 26*m**3 - 21*m**3 to y*m + k*m**2 + z + c*m**3 and give k.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 1. Let l(n) = 2*n**3 - 3*n**2 - 2. What is l(h) + 3*p(h)?\nAnswer: 2*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-4*(-4)\/32). Let p be 0*(-1 + v) + 384\/160. Determine i, given that -6\/5*i**4 + 3*i**3 - p*i - 3\/5*i**5 + 6*i**2 - 24\/5 = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2961.7 to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10027 - 20811 + 10184)*(2*y**2 + 0 + 0).\nAnswer: -1200*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/4)\/((-9)\/(-108)*-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 5*m**2 + 8*m - 7. Let v be o(6). Let x = v + 0. Suppose -10 = -4*w + x*q, -2*w + 12 + 0 = q. Solve -3 = -i + 3*l + 1, -w*i = l - 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-6\/5)\/k)**21\/(((k*k*k\/(k*k**5)*k*k*k)\/k)\/(k*k*k**(-1\/15))))**(-7\/5) assuming k is positive.\nAnswer: k**(4543\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(76) + (1*sqrt(76) - sqrt(76)) + sqrt(76)) + (sqrt(76) - -5*sqrt(76)*2))\/(6*1*-2*sqrt(4)).\nAnswer: -3*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**2 - 30*b - 5. Let n be z(-14). Let m = 74 - n. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h - 6. Let c be r(-10). Suppose 0 = 4*g + 6 - 2. Let n = 6 + g. Is n >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/(-15)*10\/(-32). Suppose 10*w - 19*w = 29*w. Which is smaller: w or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**8\/(q\/(q*q*q*q\/q**(-3\/7)*q*q))*(q**(3\/5))**(3\/7) assuming q is positive.\nAnswer: q**(479\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - (-64 - -114)) + 153.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a + 42 = -0*a. Factor -8\/3*o - 8\/3*o**a + 2\/3 + 2\/3*o**4 + 4*o**2.\nAnswer: 2*(o - 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 224690, 224687, 224682, 224675, 224666, 224655, 224642?\nAnswer: 224627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p - 6802 + 27227 - 6810 - 6811 - 6804 + 4*p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184 is divided by 35?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 764*m + 753*m + 695*m - 2981*m + 750*m.\nAnswer: -19*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -883308 divided by -3?\nAnswer: 294436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.16? (a) 44 (b) -10 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 91275 by -5.\nAnswer: -18255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23.556 - 24. Round f to 2 decimal places.\nAnswer: -0.44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*c + 59*c. Solve 5*z = 7*h - 6*h - 16, -5*h + 5*z = c for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 36692, 36681, 36656, 36611, 36540?\n\"Answer: -o**3 - o**2 - o + 36695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.034 and 17428.8206.\nAnswer: 17428.7866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4821843.\nAnswer: 3, 13, 123637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.9, -3, 30, 0.2, 2\/17 in descending order.\nAnswer: 30, 2.9, 0.2, 2\/17, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j**5 + 105*j**4 - 110*j**3 = 0.\nAnswer: -22, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.145 - -483417312137.\nAnswer: 483417312136.855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 986 and 138618?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 14 - 16. Calculate the remainder when 9\/45 - (-8 - (-447)\/(-15)) - -2 is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -6*c - 8. Let m(v) = -v**3 - 29*v**2 - 52*v + 86. Calculate the lowest common multiple of w(-8) and m(-27).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 768 - 766. Suppose 3*k - 1772 = 4*n - 671, 0 = -k - v*n + 377. What are the prime factors of k?\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(11)*-3 + sqrt(11) + -1.\nAnswer: -1 + 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3398 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1796 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -24*a - 6. Let w(q) = 25*q + 7. Determine -4*l(v) - 3*w(v).\nAnswer: 21*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301 is divided by 76.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (1136*f**2 - 6671*f**2 - 4648*f**2)*(0 + 0 - f + (-1 + 2 + 1)*(2*f + 0*f - 4*f) - 3*f + f + 0*f) in the form k + s*f + d*f**3 + r*f**2 and give d.\nAnswer: 71281","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/10*(-15 + -1). Suppose r = 5*o - 2*n, -n + 0*n = 4*o + 4. Suppose z + 0*t + 5*t - 31 = 0, -2*z + 37 = 5*t. Solve -3*l + o*l = z for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19550095 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 58.416653 + -58.42. Round r to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2328500 and 1180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 9*m**3 - 2*m**2 + 2*m. Let s be l(1). Solve s - 29 = 4*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 14 = -s, -5*s = q - 6*q + 30. Let l(b) = b**3 + 6*b**2 + 3. Let d be l(-6). Suppose -2 = -d*o + 10. What is the remainder when q is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -18*t - 69. Does 18 divide m(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c**3 - 2*c**2 - c. Let s be 2 + (-9)\/(-1 + -2). Suppose -s - 3 = 4*d. What is a(d)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26a (base 15) to base 4\nAnswer: 20212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -208, -0.5, -78?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 67.38025 years?\nAnswer: 6.738025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28 + 23. Sort n, -0.1, -0.4.\nAnswer: n, -0.4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60637 - 193045 - 8518 = -150*q. Is q a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((3990\/(-960))\/133).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3, 16, 49, 102, 181, 292?\n\"Answer: p**3 + p**2 + 9*p - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/7132 (b) -83 (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 207 + -374. Let g = o - -265. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + i + 9952 = 1023, -2*i - 8928 = -5*p. Suppose 5*t = 0, -2*t = 2*v + 3*t - p. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 1\/3, 0.1, -0.058.\nAnswer: -0.5, -0.058, 0.1, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -329988050*v**4\/3 - 23429100170*v**3\/3 + 3647978*v**2\/3 - 142*v\/3 = 0. What is v?\nAnswer: -71, 0, 1\/12845","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/579259864 and 11\/448884?\nAnswer: 5213338776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 7*n**2 + 15*n + 6. Let z(b) = 8*b**2 + 15*b + 7. Calculate -6*t(g) + 5*z(g).\nAnswer: -2*g**2 - 15*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(6\/(-4))*-3. Suppose 0 = -11*i + 7*i + 8. What is the second derivative of 6*w + w**2 - 3*w - i*w**x - w wrt w?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 370404.66 rounded to the nearest ten thousand?\nAnswer: 370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.1 in -2\/3, 0.3, -2\/15, -0.35, 3\/2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, f: 1, n: 1, q: 1, a: 2, y: 3}. Give prob of sequence yq.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 253 - 23. Let l = j - 229.754. Round l to 2 decimal places.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 3*v = -221 - 54, 2*v = -4*a + 274. What is the remainder when a is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25088 - 40747 = -3*o. Let l be o\/38*(-40)\/6*2. Round l to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -6*f. Let t(u) = -13*u. Let w(z) = -189*z. Let v(x) = 72*t(x) - 5*w(x). Give o(v(r)).\nAnswer: -54*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6726 + -6701. Solve h = 4*k - 5*u, 27 = 4*k + 5*u + 12 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oroddde. Give prob of sequence odoe.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -11538*y + 2127. What are the prime factors of k(-7)?\nAnswer: 3, 27631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.85 and 484637.\nAnswer: 411941.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 30*l + 56*l - 83*l. Let w(d) = -2*d - 1054. What is m(w(y))?\nAnswer: -6*y - 3162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 745 - 1042 = -3*k, -b = 4*k - 396. Let n be (-33)\/(-6)*1*4. What is the greatest common divisor of k and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 8*c**2 - 10*c + 6. Let f be k(-9). Calculate the greatest common divisor of 165 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/((-18)\/15)*-2. Suppose 26 = 2*x - c - 61, -d*x + 228 = c. Calculate the remainder when x is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = 2*r - 2*g, -14*r + 16*r - 262 = -12*g for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 112 + 120110411?\nAnswer: 120111023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z + z - 8*z**3 + (-z + 0 + 0)*(-3*z**2 + 13 + 2 + 2*z**2).\nAnswer: -7*z**3 - 15*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/10, -26\/1151, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.21 + -7. Let a = s - 0.21. Are a and -4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.11 and -146.\nAnswer: -16.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -21*y + 1. Determine p(-1).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2458 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -115 less than -1.71303?\nAnswer: 113.28697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1225) + -4*sqrt(1225) + sqrt(1225) + sqrt(1225))\/(sqrt(750)\/sqrt(6)).\nAnswer: -7*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 685847670 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: Sort 18, -19, -4, 0.\nAnswer: -19, -4, 0, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1315?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2 - 154356*t - 1985481228.\nAnswer: -3*(t + 25726)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 167964347 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/5))**(9\/8))**45*((i\/i**(6\/13))\/i*i*(i*i*i*((i*i\/i**5)\/i)\/i)\/i)**9 assuming i is positive.\nAnswer: i**(-2205\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109545373?\nAnswer: 7, 317, 49367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 99 - 22. Suppose -5*z = -3*l + 2 - q, 43 = 4*z + l. Suppose 0*s = -4*s. Solve -4*n + 3*c + c - z = s, c = -2*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-18))\/(((-315)\/21)\/15)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 2691788?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -6*w**3 + w**2 - 2*w + 1. Let h(u) = -22*u**3 + 4*u**2 - 8*u + 947. Calculate -h(d) + 4*s(d).\nAnswer: -2*d**3 - 943","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**3\/2 - 10*h**2 - 43*h\/2 - 11 = 0.\nAnswer: -1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 114 and 93657.\nAnswer: 3558966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 521 and 6627641.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (7 + (-1 - 8))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/19, 4, 3, 641, -131.\nAnswer: -131, 2\/19, 3, 4, 641","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**6*i*i**0*i)**28\/(i**(-4)*i**3*(i**(-5)\/i)\/i*i*i*(i**(-2)\/i*i)\/i*i*i*i) assuming i is positive.\nAnswer: i**230","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*r**3 - 2*r + 24 - 24)*(-65*r + 0*r - 2*r) to the form h*r**2 + c*r**3 + p*r + j + k*r**4 and give k.\nAnswer: -804","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -4*h**2 + 515808*h + 2579107. Give t(-5).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3*q**2 + 2*q - 2. Suppose 4*i + 12 = 16. Let f be a(i). Let v(r) = r**2 - 4. Let m be v(-3). Is f not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.44 + 11.56. Let n = -31 - -48. Let m = n - p. What is the biggest value in m, 1\/6, 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*l + 4*l + 777 = -15*l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3*l - 68. Determine h(-22).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j + 5 + 2 + 2. Let k(s) = s + 1. Let p(b) = 6*b + 10. Let m(a) = 5*k(a) - p(a). Determine 11*m(v) + 6*y(v).\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -20116*722\nAnswer: -14523752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**5 - 16*p**4 - 42*p**3 - 28*p**2 + 40*p + 48 = 0.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/51834 and 39\/915082.\nAnswer: 145498038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 64 = 5*l, 0 = 5*l + n + n - 68. Suppose -2*d = -4*d - l. Let o be d - (3 + 5\/(-1)). Which is the nearest to 2? (a) o (b) -2\/7 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -q**2*w**4 + 9*q**2*w**2 - 4102*q*w**5 + q*w**2 + q*w + 69*q wrt w.\nAnswer: -24*q**2*w - 246120*q*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(112))**2 + sqrt(7) + (sqrt(7) + -3)**2 + -5)*5 + 4.\nAnswer: -25*sqrt(7) + 5099","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27925307*a**5 + 2*a**4 + a**3*d + 1395*a**2 - 738*a*d + 2 wrt a.\nAnswer: -1675518420*a**2 + 48*a + 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 285 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 0 - (-4 - -1) - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -76064, -152140, -228226, -304328, -380452, -456604, -532790?\n\"Answer: -q**3 + q**2 - 76072*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53586, 214337, 482248, 857313, 1339526?\nAnswer: 1928881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -87*u - 517. Give w(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3259 + 2538 + 5*y - 7023 to the form q*y + b and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 11:29 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 161*z - 1648. Let c(l) = 5*l**2 - 3*l. What is s(c(o))?\nAnswer: 805*o**2 - 483*o - 1648","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -2\/3, -0.5, 2, -10, -4\/3, -623?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 62 + -57. Suppose -4*w - 3*j = -1344012, -1679980 = -8*w + 3*w + u*j. What is w rounded to the nearest ten thousand?\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 399487246 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3686664 - -3686680.99981. Let r = i + -17. Round r to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i**3 - 34*i**3 + i**3.\nAnswer: -27*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1082524465.\nAnswer: 5, 11, 593, 33191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**3 - t**2 + 5*t - 94. Let c be u(0). Which is greater: c or -100?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*u**6 + 26*u**5 - 111*u**3 - 1255*u**2 + 15*u + 12 wrt u.\nAnswer: 1080*u**3 + 1560*u**2 - 666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 701 divide 123751035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 239 = 5*w + 236, 2*w = 5*v - 24. Factor 0 + 3\/5*z - 3\/5*z**w + 8\/5*z**2.\nAnswer: -z*(z - 3)*(3*z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*o + 18*o + 9 = 0. Suppose 2*c = o*c - 3. Suppose -5*j + 968 = m, -c*j = -j - 4*m - 396. What are the prime factors of j?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -264 - -2372\/9. Which is the second smallest value? (a) o (b) -0.19 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3343*t**4 + 14*t**2 - 2927*t.\nAnswer: 80232*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*q - 286602 + 99585 = 495303. List the prime factors of q.\nAnswer: 2, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1308 and 11?\nAnswer: 14388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -9612, -18796, -27970, -37128, -46264, -55372?\n\"Answer: n**3 - n**2 - 9188*n - 424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of f**4\/4 + 17*f**3\/3 + f**2\/2 + 17*f - 14. Let t be p(-17). Solve 0 = -4*k + 7*k - 12, -3*z - 2*k - 1 = t for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2 - 10 = 0. Solve -2*s + d = -z*s, 4*d - 27 = 5*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1276?\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 161 + -311?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a6a379 + 0?\nAnswer: -a6a379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3772621 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 121?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z - 6 = -7*z. Let a be (-22)\/(-4)*(-54)\/z. Let t = -14 - -23. What is the highest common factor of a and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/6764267 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 9*u - 1. Let i(l) = l**2 - 7. Let a be i(3). Let b be z(a). Suppose -b*y + 13*y + 128 = 0. Is 8 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 10 = -3*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*t + 3*t + 2*t)*(0 + 2*t + 0) - 206*t**2 - 378*t**2 + 2739*t**2)*(-3*t**2 - 2*t**3 + 3*t**2).\nAnswer: -4314*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hq when two letters picked without replacement from {h: 1, q: 1, k: 1, t: 1, z: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -587125277 divided by -3\nAnswer: 587125277\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + 177)*29\/58 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*h + 32*h = 33*h + 263370. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c**3\/5 + 1056*c**2\/5 + 20883*c\/5 + 97944\/5 = 0. What is c?\nAnswer: -11, -8, 371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12 - (7 - 4)) + -6. Suppose 0 = 2*k + s - 38, 3*s = -2*k + 11 + 23. Suppose i*h = h + k. What is the highest common divisor of 10 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwbbbbbbb. Give prob of sequence ww.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in five eighths of a kilometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o*o\/o**10))\/(o**7\/o))**(1\/2) assuming o is positive.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/6*10\/45*3*(-2109)\/57\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h - 3. Let n = 48 + -54. Let y(f) = -4*f + 6. Determine n*y(s) - 13*o(s).\nAnswer: -2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-4\/5)\/k)\/((k\/(k\/k**(-4\/7)))\/k)*(k**(-2\/5)*k*k)**(3\/10) assuming k is positive.\nAnswer: k**(44\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 83340 to the power of 1\/2, to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -9*g**2 + 283*g + 5480. Determine i(45).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -14*u - 2 + 10*u + 3*u + 3. Let p(f) = 5*f**2 + 25*f - 25. Let j(h) = -p(h) - 25*q(h). Let z(v) = 2 - 2 + 2*v. Give z(j(d)).\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1628 (base 15) to base 6\nAnswer: 34015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 75b594 (base 12) to base 15\nAnswer: 26ca64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-519)\/(-6) - -1) + (-9)\/(-6). Solve h*j + 120 = 65*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bxbbbxxxbbbbbb. What is prob of picking 1 x and 2 b?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 4:01 AM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3563 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-2\/11)*a*a**2*a\/(a**(2\/7)*a)*a**3*a*a\/a**(-1\/2)*a*a*a\/((a\/a**(-6))\/a*a)*(a*a\/a**(-2\/5))**(16\/9) assuming a is positive.\nAnswer: a**(19171\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1d55 (base 15) to base 8.\nAnswer: -14354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3\/5, 150.9, 4\/3, -5, -0.02, 1\/11?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -k**3\/6 - k**2\/2 - 48*k. Give r(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q + 8. Let y be g(0). Let n be 12\/5 + 21\/35. Find the first derivative of -4*c + y - 1 - n wrt c.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**3 - 2*y**2 - 42*y + 15. Calculate g(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 197525, 790062, 1777623, 3160208, 4937817, 7110450?\n\"Answer: 197512*r**2 + r + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 140210561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/12*3*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 194, 2108, 7434, 17876, 35138?\n\"Answer: 284*l**3 + 2*l**2 - 80*l - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8525197?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (2244\/(-55))\/(-34)*(-4)\/(-6)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*c - 3*c + 0*c + (2*c + 1 - 1)*(-66 + 201 - 75) to o + i*c and give i.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2. Let v(p) = -p - 3. Let k(m) = 6*q(m) + 5*v(m). Let s be (-6 - -2)\/(-4) - (-2 - -5). Determine k(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 58*q + 148. Let k(b) = 2462*b**2. Give u(k(n)).\nAnswer: 142796*n**2 + 148","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hqcqhgqcvuc. What is prob of picking 1 q and 1 u?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/801413179 or 1?\nAnswer: -2\/801413179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -269, 4\/7, -1357?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c + 23*c**2 + 0*c + 2*c - 35*c**2.\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - (2\/17 - 2020\/(-748)). Let i(k) = -2*k - 11. Let y be i(-6). Let p be 2\/(-8)*y\/(-2). Sort 6\/11, -4, r, p in decreasing order.\nAnswer: 6\/11, r, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3368, -151, -10.9 in ascending order.\nAnswer: -151, -10.9, 3368","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 4*t + 6, m = 6*t - 9*t + 5. Suppose y + 1 = 5. Let p be 12\/(-56)*y\/2. Which is greater: p or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 + 6. Suppose f + 44 = -2*x. Let m = -14 - x. Solve -5*w - m = 5*g, -5*g - 18 + 5 = w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-160)\/192*10\/(-25)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4135 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -1823, -8, -7 in decreasing order.\nAnswer: 1, 0, -7, -8, -1823","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*x = 16*x + 988. Suppose 5*r = x - 33. Let w(c) = -c - 2. Calculate the remainder when w(-4) is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5556, -11462, -17370, -23280, -29192?\n\"Answer: -j**2 - 5903*j + 348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i + 461 = 55. Let j = i - -65. Let z(b) = -b**3 + 8*b**2 - 7*b + 3. Let d be z(j). Solve 3*h - 12 - d = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h + 1. Let y(w) = 12*w + 9. Let p(o) = 4*s(o) + y(o). Find the first derivative of p(m) wrt m.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -315?\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 196 and 448.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(3 + 7\/(-3)). Suppose -5*g - 5*a + 382 = -3*g, m*a = 0. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001363746 to four dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 7*i. Let m be i*(-3)\/(-12) + -8. Let y = 8 + m. Which is smaller: 1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 264?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73 + 5779*f**2 - 73.\nAnswer: 5779*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -13*i**2 - 5894*i + 85072. Calculate y(14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z**5*z)\/z)\/z**(2\/15))**(-16\/7) assuming z is positive.\nAnswer: z**(-1408\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*62.88.\nAnswer: -440.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/7)\/y*y**(1\/4)*y)**(-35)\/(y**4\/(y**(-5\/3)\/y))**(-26) assuming y is positive.\nAnswer: y**(2095\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-369)\/615 - (-44)\/15.\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + i**2 + i + 4. Let t(x) = 3*x**3 + 107*x**2 + 6*x + 24. Let h(a) = -6*q(a) + t(a). What is the third derivative of h(n) wrt n?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (76\/(-10)*6\/144*6)\/(15\/(-150))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154*t + 65*t + 3 - 177*t + 25*t.\nAnswer: -241*t + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 7:29 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186 + 127 = -13*m + 292. Solve -m + 15 = 4*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -10, 3, 0.3, -184, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4889040 - -274.9.\nAnswer: 4889314.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1002b (base 16) to base 3\nAnswer: 10022221212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -4*v + 30. Let j be o(7). Let n(i) = -2*i + 2. Give n(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**3\/6 + 752867*u**2\/3 + 12045815*u\/6 + 5270041\/3 = 0 for u.\nAnswer: -1505726, -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(1\/7)\/u*u*u**14)**(2\/73))**38)**(2\/3) assuming u is positive.\nAnswer: u**(5016\/511)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of -r**3\/6 + r**2 + 8*r. Let z be i(1). Let g = z + 8. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, 0.04, -10\/3 in ascending order.\nAnswer: -10\/3, 0, 0.04, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 103831, 207651, 311473, 415297, 519123, 622951, 726781?\nAnswer: 830613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 774*g**2 - 902*g**2 + 1344*g**2.\nAnswer: -332*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/3)\/m**9)**(-41\/5)\/(((m\/(m*m\/(((m*m**(-1\/3))\/m)\/m)))\/m)**(27\/4)*m*(m\/(m\/m**(1\/2)))\/m*(m\/((m*(m\/(m*m**(-7)))\/m)\/m))\/m) assuming m is positive.\nAnswer: m**(1609\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*o = -9*o + 88. Suppose 0 = -4*d - q + 6820, -d + 5*q + 1692 = o*q. List the prime factors of d.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 4:24 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a**3 - 5*a - 2. Let s = 72 - 73. Let r(w) be the second derivative of -w**5\/20 + w**3\/6 + w. Give s*y(l) - 4*r(l).\nAnswer: l**3 + l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 40*q**2 + 11*q + 29. What is the tens digit of l(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11002 + -220?\nAnswer: 10012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-8))\/(110\/44).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -2*d - 31. Let z(g) = 43*g - 219. Let u be z(d). Which is greater: u or -67\/15?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 6:33 PM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(130)*-4 + (sqrt(130)*-1*6 - sqrt(130)))\/(6*3*sqrt(1440)).\nAnswer: -5*sqrt(13)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a6c + 4?\nAnswer: -a68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4359 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of l**7\/210 + 12*l**5\/5 - 5*l**4\/8 - 16*l**3\/3 - l**2 + 159*l. Find the second derivative of o(r) wrt r.\nAnswer: 12*r**2 + 288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*((j*j\/(j*j\/(j\/j**(-2\/17)))*j)\/j)\/j*j)**(-19)*(j\/(j\/j**(-5)*j)*j)**47 assuming j is positive.\nAnswer: j**(-4679\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, n: 1}. What is prob of sequence ww?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -557 + 8359\/15. Let j = 0.78 - 1.18. Which is the third smallest value? (a) -0.1 (b) j (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + 10*y. Let l(o) = -6*o**2. What is l(m(x))?\nAnswer: -6*x**4 + 120*x**3 - 600*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of 11\/2*z**2 + 74 - 6*z. Let v(p) = -7*p + 4. Calculate -5*h(r) - 8*v(r).\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -2, 46 in decreasing order.\nAnswer: 46, 5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.092 (b) 86\/9 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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: What is the closest to 0.16 in 0.1, 1\/52, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(12\/5)*b*b**4*b*b assuming b is positive.\nAnswer: b**(47\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**2 + 0*u**2 + 4*u**2)*(-u + 2*u - 3*u) + 1 + 826*u**3 - 1170*u**3 - 3.\nAnswer: -346*u**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 25 = 3*k - 3*p, 5*k + 20 = -4*p. Suppose k = 2*r + 2*x - 10 - 4, 3*x = -2*r + 13. Calculate the least common multiple of r and 7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30211 + -100112?\nAnswer: -3301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 13.9. What is the nearest to 1 in 1\/6, y, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 68\/11 + (-2)\/11. Let c(p) = 18*p - 24. Let b be c(8). Let g be ((-12)\/15)\/((-2)\/b*1). What is the greatest common divisor of g and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -182*r - 114. Let f be w(-9). Let n = 2692 - f. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 3*t**2 + 2*t + 3. Let v be i(-2). Suppose 0 = -4*p - 2 + 34. Let s = -8 + p. Solve s = -2*g + 5*w + 25, -4*g + v*w = -0*g - 29 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 6, 12, 22?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -365 = 5*b - 85. What is the common denominator of 0 + (-4)\/(b\/78) and (-2)\/(-20)*205\/2?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - ((-2)\/2 - 0). Suppose j*v - 49 = 55. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2739 + 2743. Solve -562*y - a = -563*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/5))**34*h\/(h*h*h\/(h*h**(-7)))*h*h**8*((h\/(h**4*h))\/((h**2\/h)\/h))\/((h\/(h**(-3)\/h)*h)\/h*h**(-1\/11)\/h) assuming h is positive.\nAnswer: h**(-1128\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zldna. Give prob of sequence dna.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 223545883 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.04 - 0. What is a rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10.8 - 3.2. Let c = v - -14.27. Let d = c - -4.73. What is the nearest to 0 in d, -0.2, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12946811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.3 + 1. Let m = -9 - -7. Which is the second biggest value? (a) q (b) 2\/11 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -2 - 299\/(-92)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - 382*r**2 + 4465*r - 9256. Calculate w(370).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7540 divided by -1508?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 - 111*o**2 - 37.\nAnswer: -111*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -92*h*j**3 + 2*h*j**2 + 2*h*j - 1 wrt j.\nAnswer: -552*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54, 225, 510, 909?\nAnswer: 1422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -1, -65, -3, -18 in descending order.\nAnswer: 6, -1, -3, -18, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2898 - 2894.139. Let q = 3.66 - v. Round q to two dps.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 203495.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 3 = 5*k. What is the smallest common multiple of 4 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of 37*t**8\/112 + t**5\/12 - 5*t**4\/24 - 41*t**3\/6 - t**2 + 181*t. Find the second derivative of g(f) wrt f.\nAnswer: 2220*f**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2989374*t**3 + 1494423*t**3 + 1494982*t**3.\nAnswer: 31*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02 and 43.98809?\nAnswer: -0.8797618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-6)\/15 + (-185346)\/(-90)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52943322 to the nearest integer?\nAnswer: 7276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -183934.29831562 take away 0.2?\nAnswer: -183934.49831562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 - 6*w + 12. Determine h(-9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5866 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 40 + 907?\nAnswer: 947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -1\/512, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.020744 to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -79 - 1651. Let k = z + -186. What is the highest common divisor of k and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 365 = 7*l - 251. Does 4 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 10:49 PM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 223*k**2 - 1259*k + 375933. What is i(221)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(68)*1 + sqrt(68))*-6)\/(-2*-2*sqrt(64)).\nAnswer: 15*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/152888 and -47\/16.\nAnswer: 305776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**3 + 3*p**3 - 4*p**3)*(4 - 1 - 2) + 2*p**3 + 0*p**3 - 4*p**3 + 6*p**3 - 655 + 17*p + 655.\nAnswer: 5*p**3 + 17*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1, -32.5566, 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 5. Suppose 3*p = -x + 11, -128*p + 129*p + 19 = x. Calculate the smallest common multiple of s and x.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 53 - 1 + 28*j**3 - 36 - 7*j - 4.\nAnswer: 28*j**3 - 7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/42 - (-88)\/1365. Which is greater: u or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1892049057 is divided by 220?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -317 in -2, -0.007, -2\/9, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-724)\/(-99912))\/(3\/(-9)).\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2*s, -3*s = -u - 0 - 2. Let j = u - 0. Suppose -4*r = -j - 4. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 295227\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 309872 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**4 + s**4 - 15*s**4)*(-59 + 6*s + 59)*(-4 - 10 + 4).\nAnswer: 900*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 185455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3)*(1 - 5 - 3)*(-1 + 1 + 1)*(-5 + 8 - 1)*(d - 4*d + 4*d).\nAnswer: -28*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 327776974?\nAnswer: 2, 7, 477809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -47631 + 83699. What is the thousands digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/74 (b) 0.05 (c) 0.3 (d) 123 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o - 243147 + 120594 - 5*o + 122553.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/6)\/(2\/4). Suppose 4*w + 17*t = 12*t - 47, -4*w - 2*t = 38. What is the second smallest value in h, w, -0.01?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d*d**(1\/3))*d)**(-20)*d*d**(3\/7)*d*(d**(-2\/5)*d)\/d*d)**(-2) assuming d is positive.\nAnswer: d**(6364\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence brup when four letters picked without replacement from {u: 1, r: 3, l: 2, p: 1, b: 3, v: 2}?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 297 and 108?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -74 + 76. Let m(b) = 10 - 2*b - j*b + 2*b - 13. Let p(s) = 4*s + 5. Calculate -5*m(k) - 3*p(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, 2, 11, 20, 29, 38?\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2\/5 + 747141*r\/5 - 4482954\/5.\nAnswer: 3*(r - 6)*(r + 249053)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5156699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 330?\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 2:53 AM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -33, -43, -67, -111, -181, -283?\n\"Answer: -q**3 - q**2 - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 349836?\nAnswer: 2, 3, 29153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/(-224)*(35\/(-2))\/5.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 29*i**2 - 51*i + 92. Give z(-27).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 0*n - 25. Suppose 52 = 36*c - 20. Suppose -6 - 48 = -c*m. Is n less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 112271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 f when two letters picked without replacement from {f: 3, g: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-5)\/1)\/220)\/(-7*6\/(-168)).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101173 is divided by 33545.\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -400*k**2*u**3 + 65812*k**2*u**2 + 4*k**2*u + 21*k**2 + 2*k - 53*u + 137 wrt u?\nAnswer: -2400*k**2*u + 131624*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 5:09 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 237\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2062 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8960860 is divided by 745?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 7 = -d, -3*u + 0*u + 13 = -d for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -499 + 496. What is the second smallest value in u, -21, 0.05?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -397 + 477. Let b(z) = -z**3 + 7*z**2 + 13*z + 16. What is the least common multiple of b(8) and m?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 709 is divided by 79?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (-20 + 42 + -10 + -29)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4243 divided by -352.\nAnswer: 4243\/352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -24*m**2 + 8*m - 71. Let v(a) = -48*a**2 + 15*a - 141. Let i(j) = 11*t(j) - 6*v(j). Differentiate i(d) wrt d.\nAnswer: 48*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-92)\/(-207))\/((-1)\/((-3)\/2)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 13, i: 3}. What is prob of sequence eii?\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -252, -4, -0.1, 0.\nAnswer: -252, -4, -0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 6424884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 11*o. Let s(i) = 24*i**2 - 50*i + 20. Let k(v) = v**2 - 5*v + 2. Let y(g) = 30*k(g) - 3*s(g). Determine y(x(w)).\nAnswer: -5082*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11553.9 - 11554. Which is smaller: -251.46 or o?\nAnswer: -251.46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -582, -604, -664, -780, -970?\nAnswer: -1252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4b43 + -36?\nAnswer: -4b79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 0 + (sqrt(396))**2 + 4 + sqrt(11)*3 + 2.\nAnswer: 3*sqrt(11) + 401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-4) + 62\/(-24). Let p = -0.31 - 0.09. Which is the second biggest value? (a) y (b) 2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m - 15, -2*b + 6*b - 29 = -5*m for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 1179*s**3\/5 - 132047*s**2\/5 + 3697232*s\/5 + 3136\/5 = 0.\nAnswer: -1\/1179, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*f*r**2*v**2 + f*r**2 + 275*f*v**2 - 2*f*v + 7*r**2*v**2 + 4*r**2*v + r - 5 wrt v.\nAnswer: 12*f*r**2 + 550*f + 14*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (1 + sqrt(108))*5*3 + -2*5*(sqrt(108)*1 + sqrt(108))*-4)**2*4.\nAnswer: 68400*sqrt(3) + 3899700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -130223002122 - 10?\nAnswer: -130223002132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2 + 6 + 63*f - 6 - 1 wrt f?\nAnswer: 63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 2*w**5\/3 - 292*w**4\/3 + 1076*w**3\/3 + 8656*w**2\/3 - 19382*w\/3 + 9940\/3 = 0.\nAnswer: -5, 1, 7, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - 11*b - 12. Let s be n(12). Let a be ((-3)\/2)\/((-6)\/(-8)). Let m be 28\/(-6) + (-1)\/3. Sort a, m, s in descending order.\nAnswer: s, a, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -176*j**3 + 1. Let f(c) = c**2 - 2*c + 2. Let t be f(3). Suppose -t = d + 4*d. Is x(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 + -1000011?\nAnswer: -111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -152872*n**3 - 386*n**2 - 2*n + 6 wrt n?\nAnswer: -917232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t - 4*t**2 + 3*t**2 + 0*t**2 + (-2*t + 0*t + t)*(-t + 2*t - 2*t) - 7*t + 7*t + 3*t**2.\nAnswer: 3*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 680\/224 + 3*-1. Which is smaller: l or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9*((-9 - -10) + (0 - 0)). Let w(x) = 56*x + 121. Does 8 divide w(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 - -41. Suppose 0 = 3*p - i, -4*i + 9 + 1 = -2*p. Let n be (-24)\/p*(2 - 3). Solve n - k = 5*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/10390 and 64\/5195.\nAnswer: 10390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13936.3 - 13383. Round i to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 16. Suppose 2*w = 3*w - q. Suppose 5*s - 3*t = w - 2, 0 = -s + 5*t - 16. Solve -4*u - 7 = -3*h - 0*h, 8 = -s*h + u for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 95 and -0.066?\nAnswer: -6.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13498*d + 13499*d - 4*g + 26, g + 4 = -5*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3236 or -100349\/31?\nAnswer: -100349\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.7 in 2930, 2, 2\/7, -5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, -47, 143, 2, -1 in decreasing order.\nAnswer: 143, 2, -1, -34, -47","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 2*c**5\/5 - 5426*c**4\/5 + 21682*c**3\/5 - 27094*c**2\/5 + 10836*c\/5 = 0.\nAnswer: 0, 1, 2, 2709","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 205.3, -1\/4 in decreasing order.\nAnswer: 205.3, -1\/4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a tonne in kilograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 7*u**2 + 12*u - 29. Calculate the least common multiple of 1 and l(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 384*m**4 - 196*m**4 - 193*m**4 + 20*m - 20*m**3 + 15 - 10*m**2.\nAnswer: -5*(m - 1)*(m + 1)**2*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bfjummx. Give prob of sequence jf.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + 5*q**2 - q + 2. Let u be 40\/25*40\/(-16). Calculate k(u).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**3\/6 + 3424*y**2 + 61639*y\/6 + 6849 = 0. What is y?\nAnswer: -2, -1, 20547","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1195 and 812361.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.44901 - 0.05099. Which is the closest to 1? (a) 4 (b) -132\/7 (c) -3\/7 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 754669.6cm?\nAnswer: 7546.696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 223*w + 461*w + 275*w.\nAnswer: 959*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of -x**3\/3 - 5*x**2\/2 - 9*x - 5. Let y be i(-4). Let r be y*((-32)\/10)\/2. Calculate the greatest common factor of r and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 60*t + 944. Let w be k(-44). Put 2, 0, w in descending order.\nAnswer: w, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2759\/2 - -1378. Let k be 2*(-3 - 19\/(-2)). Let h be (-4)\/4 + k\/11. Which is the nearest to 1? (a) j (b) -3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74 divided by -115321\nAnswer: -74\/115321","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 5*y = 295, -21 - 39 = l + 2*y. Let n = -23 - l. List the prime factors of n.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 890649373 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 9*n**3\/7 + 23*n**2\/7 + 6*n\/7 - 8\/7 = 0.\nAnswer: -2, -1, 4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 4*q. Let i be ((-30)\/(-45))\/(3\/9). What is the third derivative of q*v**5 - 2*v**5 + 2*v**5 - 3*v**i + 3*v**5 wrt v?\nAnswer: 180*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + (sqrt(19) - ((-2*sqrt(19) - sqrt(19))**2 + -2)))*-3 - sqrt(152)\/(2*sqrt(32)).\nAnswer: -25*sqrt(19)\/4 + 507","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22*i*l**3*r + 25*i - 3*l**3*r + 20*l**2*r + 5*l wrt i.\nAnswer: 22*l**3*r + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/4*2 - 2. Let n(j) = j**2 - 6*j + 5. Let r be n(4). Let w = q - r. Which is bigger: 1\/3 or w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9368398969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -369, 0.33, -3, 0.3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (240\/28 - 6) + (8 - 23) + 12\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1442228?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 108\/(-63)*(-7)\/2. Suppose t + 0 = 2*c - y, c - y = 4. Solve 4*k + 3*z - 13 = 0, c*k + 16 = 5*k - 4*z for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -25*r**3 - 2*r**2 - 2*r + 2. Let z(l) = 175*l**3 + 15*l**2 + 15*l - 15. Calculate 15*s(t) + 2*z(t).\nAnswer: -25*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 24141694 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 - 1736\/70)\/(133\/(-35) + 4)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1608 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: Put together 387413 and -9421173.\nAnswer: -9033760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*l - 85 + 87 = -226 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 10, -3, 52946, -4, 5 in descending order.\nAnswer: 52946, 10, 5, 3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - 4 - (0 + 124\/(-116)). What is the third biggest value in l, 0.4, 2\/17?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)*3 - sqrt(252)*4.\nAnswer: -15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -8*c**2 + 364*c - 17. Let m(w) = -3*w**2 + 121*w - 6. What is -11*m(q) + 4*r(q)?\nAnswer: q**2 + 125*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 + -20. Let g = 101 - 14. Suppose 15*p - g = 3. Solve k*y - p = 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -4*q**4 + 316*q**3 + 10944*q**2 + 53424*q = 0.\nAnswer: -21, -6, 0, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/81980 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-25)*-1*(-24)\/((-2688)\/40)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 8069*u**3 - 8067*u**3 - 73*u + 3*u**2 + u**2 in the form f*u**3 + g*u + z*u**2 + s and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1067.\nAnswer: 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/12)\/((-131859)\/67620)?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - -3) + (-55)\/((-465)\/(-30) + -13).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33.6 - 73. What is l rounded to the nearest integer?\nAnswer: -107","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -335 (base 6) in base 11?\nAnswer: -10a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 38060 divided by 9515\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 37 = 12, -4*c - 26 = 2*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*u**4 + 2*u**4 + 2*u**4 + (-2*u + 2*u + 4*u**2)*(-u**2 - 4*u**2 + 7*u**2) + (2 - 4 - 2)*(3*u - u**4 - 3*u).\nAnswer: 11*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 6) to base 9\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -6 (c) 1 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) 0 (c) -0.11 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5 - ((-24)\/(-4) - 4). Let i = q - -12. Solve v = 2*p - p - i, -2*v + 4*p = 12 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r**2. Let v(j) = 4*j - 3. Let o(a) = 9*a - 7. Let n(i) = 3*o(i) - 7*v(i). Give g(n(y)).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 578.9467\nAnswer: -57.89467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 275.685 not equal to 3\/53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 312 = 1215*y - 1195*y - 488 for y.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110172 (base 10) to base 9.\nAnswer: -177113","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h**3 - 9*h**3 + 16*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 125688420 and 80028.\nAnswer: 8892","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 9, -3\/13, 1\/6, -5, 35\/27?\nAnswer: 35\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 81 or 347?\nAnswer: 347","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182224.\nAnswer: 2, 7, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of -7\/60*x**5 + 1\/120*x**6 - 3\/2*x**3 - 20*x**2 + 0*x + 5\/12*x**4 + 0. Give n(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.3 + -1. Let p = 2.1856 - 0.1856. Which is the closest to -0.1? (a) 1\/2 (b) m (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*p + 45 = 45. Which is the nearest to 0.1? (a) -4 (b) p (c) -9 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fnn when three letters picked without replacement from fflflnlflfnl.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 779892859 - 2?\nAnswer: 779892857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-18))\/(-15*14\/6300)?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 145 = 5*b, 45 = b - 7*h + 10*h. Calculate the least common multiple of 162 and b.\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(((-144)\/40 - -2) + (-2)\/(-1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14748 and 21132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (45\/(-24) - -2)\/(-1). Which is the closest to u? (a) 5 (b) 3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 19*i + 11. Let w be c(-3). Calculate the remainder when 1\/(137\/w + 6\/2) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98722?\nAnswer: 2, 13, 3797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128993 is divided by 333?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 28559*s - 2027692. Determine n(71).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0 (b) 0.29 (c) 11\/2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/2 of a decade?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -104, -222, -338, -452, -564?\nAnswer: -674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -170.5 - -154.5. Let j = -2289452.999912 + 2289437. Let q = j - w. What is q rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 14.58, -2\/1421, -1\/3?\nAnswer: 14.58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -172, 2\/3, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -382 by 191.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1597176 and 2085202?\nAnswer: 75067272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/2 of a hour?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h + 3*h + 6*h - 16*h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 34, 44, 46, 34, 2, -56, -146, -274?\n\"Answer: -q**3 + 2*q**2 + 11*q + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -15. Suppose -5*y + y = k - 15, y = s*k - 84. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-16))\/((-14)\/(-8))*(-13)\/((-2028)\/2002).\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 30 = -9*l. Let p be 27\/l*(-8)\/(-6). Suppose 2*c - p*c = -148. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millisecond in microseconds?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1023, -984, -925, -846?\n\"Answer: 10*s**2 + 9*s - 1042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -3*j + 1 - 4, -4*j + 5*l + 1 = 0. Let k be -27 - 0 - 2*-1. Let p = -14 - k. What is the remainder when p is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a + 4*a + a + 4*a**3 - 3*a.\nAnswer: 4*a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 12:16 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 0*m**2 + 2\/3*m**4 + 2\/9*m**5 + 0*m - 8\/9*m**3 = 0. Calculate m.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 + 1 + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 + 22. Let z = 27 - v. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214722109 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by -3.\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2352\/27090 - 6\/(-129). Let t = 1 - 0. Which is the nearest to t? (a) m (b) -0.4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*l - 67 = 14*h - 61*l, -4*h = 6*l + 14 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((55\/15 - 4)\/((-15)\/(-150)))\/(4\/18)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 245 and 10339?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 2 + (3 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**(4\/9)*j))\/(j*j*j**(-3)*j*j*j))\/((j**(2\/19)\/j)\/(j\/(j\/j**(2\/17)))) assuming j is positive.\nAnswer: j**(-4163\/2907)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 22366391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 v when four letters picked without replacement from vmddvhvnv.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 263 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1247 is divided by 157?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 88 and 242?\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of 0*q**2 - 16*q - 5\/6*q**4 + 0 + 0*q**3. Let i(n) = n. Determine i(p(d)).\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15692 = 487*y + 10335 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 495 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 152419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -1267*f - 864096. Determine s(-682).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-81))\/((61020\/(-72))\/(-113)).\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 60*(-25)\/(-75) + -11?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -3\/11544482?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 13\/4 of a week?\nAnswer: 32760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -2\/18193, -5, -1, -2\/21?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 3*z - 5*z - 10, -3*s = 4*z + 20. Suppose -d - 3*b + 18 - 84 = 0, 2*d - 3*b + 87 = s. Do d and -50 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 - 24 - 5*y**3 - y**3.\nAnswer: -6*y**3 - 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5*m = -276. Let z = m + 182. Suppose 0 = j + 36 - z. Is 15 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -17*w + 4. What is u(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 + -12. Solve -26 = -2*r + 6*r - 2*q, r - c*q = -11 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -3, -10, -1, -5 in ascending order.\nAnswer: -10, -5, -3, -1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9064 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -303.9402 - 0.0598. Let y = -303.9326 - s. What is y rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8816767?\nAnswer: 37, 238291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/63*-3*392\/88?\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c**2. Let x(z) be the first derivative of 43*z**4\/12 - 17*z - 16. Let k(n) be the first derivative of x(n). Determine k(w(t)).\nAnswer: 172*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1274 and -0.123?\nAnswer: 156.702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from qttottqooqt?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5175 take away 0.3?\nAnswer: -5175.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -7410000 to the nearest 100000.\nAnswer: -7400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*v + 3)*(v + 0*v - 6*v) + 3*v**2 - 5*v**2 + 4*v**2.\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**5\/3 + 22*p**4\/3 - 52*p**3\/3 + 32*p**2\/3 = 0. What is p?\nAnswer: 0, 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkqg when four letters picked without replacement from {g: 1, q: 2, k: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3*z + 1. Let w be g(4). Let u = 2 + w. Solve 0 = 4*k + k - u for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.3157732 milligrams?\nAnswer: 0.0000000003157732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 0 (b) 0.03 (c) 11 (d) 0.1 (e) -34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42 - 24. What is the least common multiple of 2 and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-3) + (5 - -1). Suppose -r = 5*i - 20. Solve 6*b + 2*n - 7 = i*b, 3*b - n - 1 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -235 = -8*c + 3*c. Calculate the remainder when c is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-71*q - 79*q - 9*q)*(1 - 4 + 2) to m + j*q and give j.\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 6:43 AM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 5*r**3 + 27*r**2 + 22*r + 100. Give y(-6).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 688 = 2*i - 762. Let g = i - 439. Is 11 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 w when two letters picked without replacement from wiwiwwi.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 2 i, and 1 q when four letters picked without replacement from {a: 2, q: 6, o: 4, i: 2, s: 1, v: 2}?\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, r: 6, i: 4}. What is prob of picking 2 o?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 64\/67783299?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 126885 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113 + -1212100?\nAnswer: -1211321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 460*n**3*y*z**2 - 87*n**3*z**2 - 11*n**2*y*z**2 wrt y?\nAnswer: 460*n**3*z**2 - 11*n**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 - 19 - (-6 + (-3 - -93) + 3 + 6)?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 4:11 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - -54 - (115 + -24)) + 84\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 4*a + 7*t - 2*t, 6 = -3*t. Let k be a - 3 - (3 - (1 - 1)). Solve 0 = 5*w - 5*h + 10, k = -5*w + h - 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -668258 divided by 9974?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1800 and 750?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.820527 and -3987596.\nAnswer: -3987595.179473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 42e304?\nAnswer: 42e300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000025542333 rounded to six dps?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -22*n**2 + 10*n - 18. Let b be x(5). Let c = 1073 + b. Let o be 4\/(-34) - c\/51. Let k(v) = -v**3 - 10*v**2 + 11*v + 1. What is k(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xauxu. Give prob of sequence ua.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 47929 and 668?\nAnswer: 191716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -848748 divided by 3?\nAnswer: -282916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 - -22. Let h be (3 - 54\/15) + 75\/125. Is p != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-144))\/(1\/(-8))*110\/220.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -5*h - 11, -15 = -3*r + h + 7. Suppose -c + r = -4. Let f = 22 + c. Calculate the remainder when f is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 4*o**2 + 38*o - 179. Determine s(3).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, r: 2, e: 13}. What is prob of picking 1 a, 2 e, and 1 r?\nAnswer: 13\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100001001111001110 (base 2) to base 11.\nAnswer: 252269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 590 and 46.\nAnswer: 13570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1241044343 + -32?\nAnswer: 1241044311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5264411?\nAnswer: 163, 32297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 403*w = 254*w - 314*w + 2315 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99013?\nAnswer: 99013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1, 3, 5, 7, 9, 11?\n\"Answer: 2*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*i + 84 + 15. Solve -15 = -8*o + i*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -755192 and -162696.\nAnswer: -917888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qtqttiqqfttmffmqt. What is prob of picking 1 i, 1 f, and 2 m?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 u when two letters picked without replacement from ouuuuuuuoou?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h + 1410 + 84 - 143 + 1254 to s*h + g and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*n + 11*n + 12*n to s + w*n and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1113848813 to the power of 1\/2, to the nearest integer?\nAnswer: 33374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0*(m**(-5)*m)\/m)**(7\/3) assuming m is positive.\nAnswer: m**(-35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 677.95 times -228?\nAnswer: -154572.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + 6*s + 4. Let i be z(-4). Suppose 4*w - 64 = 16. Let o = w + i. 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 the thousands digit of 508082?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 + -12. Let q(f) = f**3 - 4*f**2 + 4*f + 4. Let u(b) = b**3 - 3*b**2 + 3*b + 3. What is a*u(i) - 3*q(i)?\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 755402097 - -0.5.\nAnswer: 755402097.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146743 is divided by 48613.\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 0*l + 4*c = -804, 0 = 7*l + c - 2754. What is the remainder when l is divided by 57?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n + 16. Let d be t(-6). Let a = -23\/13 - -259\/117. What is z in 0*z**2 + 2\/9*z**d - 2\/9 + 4\/9*z**3 - a*z = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, -5, -19, 5, -202 in decreasing order.\nAnswer: 5, -2, -4, -5, -19, -202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108 and 18036?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59*-3.\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/189 and 137\/216.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 12*c**2 - 30*c + 32. Let f be r(14). Put 3, -5, 2, f in descending order.\nAnswer: f, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3786322 divided by 2?\nAnswer: -1893161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -w**5\/30 + w**2 + w. Let z(m) be the first derivative of d(m). Let i(g) = -3*g. Determine i(z(b)).\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, -2, -4, -17, 5?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -678983 - -680529.026. Let v = z - 1542. Let w = 4 - v. Round w to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -58 + (-9 - -33) + 10.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/5 - 2\/5*z + 1\/10*z**3 + 3\/5*z**2 - 1\/10*z**4 = 0. Calculate z.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 164 + -151. Let x(p) = 22*p - 32. List the prime factors of x(h).\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 6*w**2 + 7*w - 7. Let z(g) = g - 2 - 2*g**2 + 1 + 3*g**2. Suppose 24*d - 70 = 19*d + 5*s, 5*s = 3*d - 28. What is d*z(m) - 3*t(m)?\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 44 in -0.1, 5, 1177, 0.5, 5.4, -4?\nAnswer: 5.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -3*v**2 + 65*v + 235. Calculate the remainder when 451 is divided by s(24).\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**2. Let n(r) = -41*r**2 - r**2 - 92*r**2. Determine n(i(w)).\nAnswer: -536*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4485.4 rounded to the nearest ten?\nAnswer: 4490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -3*z - 10. Let y = 2 + 0. Suppose -y*h + 5 = 25. Calculate the lowest common multiple of a(h) and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 484 - 456 = -7*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + s**2 + 2*s - 1. Let m be 3 + -1 - (0 + 0). Let q be n(m). Let d be (-22)\/(-8)*q*-28. Calculate the highest common divisor of 11 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 12:24 PM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 5*l - 109 = -0*m, 4*l = 5*m + 85. Let b be (2 + (-308)\/m)*-139380. Round b to the nearest one hundred thousand.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -62 * -0.7.\nAnswer: 43.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12055172 (base 8) to base 9.\nAnswer: 4870636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*b*r**3 + 6*b*r*t + 105*b - 2*r**4*t + t with respect to r.\nAnswer: 27*b*r**2 + 6*b*t - 8*r**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (7\/(-28))\/((-16)\/27200)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1242 divided by 5\nAnswer: -1242\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34729?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 2*g**2\/11 - 166030*g\/11 + 332052\/11 = 0?\nAnswer: 2, 83013","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2351258 to the nearest integer?\nAnswer: 1533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 50*x**4\/9 - 1010*x**3\/9 - 832*x**2\/9 - 56*x\/3 = 0.\nAnswer: -2\/5, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -371*k - 48*k = -14*k - 810 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 3*p - 37, 5*f - 4*p - 9 - 14 = 0. What is the highest common factor of f and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-35*o**3 + 12*o**3 + 3*o**3)*(-1 + 1 - 2 - 3 + 2 + 2 + (2 + 0 - 4)*(2 - 3 + 3))*(o + 0*o - 2*o) as h*o + f*o**2 + z + v*o**4 + p*o**3 and give v.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4888\/5 - -239227\/245. Find the common denominator of i and 30\/259.\nAnswer: 1813","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**2 - 6*j + 9. Suppose 0 = 3*g + g + 2*w - 22, -2*g + 4*w = 4. What are the prime factors of u(g)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 39*s + 1567. Give v(-13).\nAnswer: 1060","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000285326 rounded to seven decimal places?\nAnswer: 0.0000285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 p when two letters picked without replacement from yjjfpp?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18? (a) -2\/433 (b) 4 (c) -6 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 PM and 3:49 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 205 - 820 + 203 + 205 + 1436*w**2 + 202 as k*w**2 + p + m*w and give k.\nAnswer: 1436","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of 0*p**3 - 8*p**2 + 21\/5*p**5 + 0*p - 16 + 0*p**4. What is the second derivative of l(y) wrt y?\nAnswer: 252*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 72162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 13 - 15 = 0. Solve -12*n - 10 = -t*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + 12. Find the third derivative of -l*p**4 + 17*p**5 + 1 - 8*p**2 + 47*p**2 + 31*p**4 wrt p.\nAnswer: 1020*p**2 - 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-2 - -1)*-5. Let j(b) = 56*b - 7. Let i be j(-1). Let c = y - i. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 334, 336, 338, 340, 342?\n\"Answer: 2*h + 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1731?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2707, 71, -14, -6 in descending order.\nAnswer: 71, -4, -6, -14, -2707","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 78\/18 + 1\/(-3). Suppose 0*y - 2*y = -r. Solve -y*h + 7*h - 2*o = -5, h = 3*o + 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 312352574?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 61 - 42.6. Let g = z - 18. Suppose 0 = 4*q - 18 + 2. Put g, q, 2 in ascending order.\nAnswer: g, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -20*c - 7. Let q(p) = -101*p - 36. Let t(w) = -11*o(w) + 2*q(w). Suppose j - 4 + 1 = 0. Is 10 a factor of t(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) 0.09 (c) -8 (d) -0.2365 (e) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 760211892?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 2 + -1 + (-20945)\/71. List the prime factors of (r\/5)\/(3 - (-19)\/(-6)).\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -3*g**4\/5 + 390*g**3 - 318819*g**2\/5 + 126360*g - 314928\/5 = 0.\nAnswer: 1, 324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d + 4. What is the remainder when t(1) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.077 + -0.887. Let m = -6.51 - i. Let h = 1.8 - m. Round h to 0 decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of k**4\/4 + 10*k**3\/3 + 9*k**2\/2 + 6*k + 1. Let j = -336 - -327. Let z be p(j). Let n(q) = q**2 - 6*q - 6. Calculate n(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 0.11909 in ascending order.\nAnswer: -4, -1, 0.11909","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(2\/19))**(-18)\/(w**4*(w*w**(-4\/13)*w)\/w))**(5\/3) assuming w is positive.\nAnswer: w**(-25685\/741)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 145641101 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a century in decades?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*r**2 + 860*r + 36975 = 0. Calculate r.\nAnswer: -87, -85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 212 + -196. Solve -5*k + k + f = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -1\/8, 3\/2, -1.9 in descending order.\nAnswer: 3\/2, -1\/8, -1\/4, -1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6792 + 6789 + 6778 - 2*z**3 - 20359.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vivi when four letters picked without replacement from iiiiivviii?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 26000 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**3 + 2420*i**2 + 353280*i - 209387520.\nAnswer: -5*(i - 384)**2*(i + 284)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.3348655564 - -473.3348638844. Let k = 470 - l. Round k to seven dps.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 179 - 42. Suppose -f = c - 34, 0*c = 5*f + 4*c - 171. What is the remainder when b is divided by f?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24230 is divided by 623.\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 5*g - 5*x - 2, 5*g - 14 = -2*x for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -123\/740 and 99\/1480.\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33805, -67595, -101385, -135175, -168965, -202755?\nAnswer: -236545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.138 - -0.062. Is -2\/39 smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43306 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 103516500 and 12.\nAnswer: 103516500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 1 - (63 + -50)) + (-6 - 0).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 3*c + 14, 2*s + 6 = -s + 3*c. Suppose 0*w + w - 9 = 0. Let o(v) = -v**2 + 10*v - 4. Calculate the smallest common multiple of s and o(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*(3 + 15\/(-6)). Let s be 3\/(-12) + (-10)\/(-8). Suppose 4 + s = 5*o. Solve -a = -o - f for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 3*g + 13 = 0, 5*x + 2*g = 12 - 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 406986424*l**2 + 155837785*l wrt l.\nAnswer: 813972848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 - 56. Let a = -35 - d. Solve 0*j - 10 = a*y + 2*j, 25 = -3*y - 5*j for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 241651.3nm?\nAnswer: 0.02416513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 377 and 46491887.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, h: 3, o: 2, k: 1, j: 6}. Give prob of sequence jok.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -716a99 - 6?\nAnswer: -716aa0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -1, -4 in descending order.\nAnswer: 3, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.205 equal to -4\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 558.802 + -0.802. Let b = i - 557.69. Which is smaller: -2\/9 or b?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -9*r + 29. Let a be c(3). Sort a, -3, -10, 1\/3 in decreasing order.\nAnswer: a, 1\/3, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 5:05 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -161\/3 + 53. What is the closest to -1 in 0, -1, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2293162?\nAnswer: 2, 1146581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 52e1d (base 16) in base 12?\nAnswer: 144565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101001300 + 0?\nAnswer: 101001300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - n + (0*n + n + n)*(-2 + 1 + 0) + 0 + 0 - 2*n - 16*n - 46 + 46)*(-3 + 0 + 4) + 0*n + 6*n - 3*n.\nAnswer: -18*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 26808, 53645, 80482, 107319, 134156?\n\"Answer: 26837*g - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1222 + 1228. Calculate the greatest common divisor of 7 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and -13.6.\nAnswer: -9.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 14 + 2 = 0. Which is greater: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19762 - 19757. Let 110\/3*u**r - 83\/3*u**2 + 272\/3*u**3 + 4\/3 - 4\/3*u - 299\/3*u**4 = 0. Calculate u.\nAnswer: -2\/11, 2\/5, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sbgr when four letters picked without replacement from khrkrrskkkkhrbhggkbh?\nAnswer: 2\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*s - 16. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-70)\/(-22) - (-18)\/(-99). Let n(t) be the third derivative of 0 + 1\/24*t**4 + 0*t - 17*t**2 + 2\/3*t**j. Determine n(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 20 = -5*m - 0*p, 0 = -4*m - 2*p + 16. Solve -2*w + 35 = -4*t + 3*w, 22 = -2*t + m*w for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v + 1. Let l be w(1). Let x(g) = -2 + 5*g + 0*g**l + 4*g**2 - 3*g**2. Let r be x(-6). Let q(k) = -k + 3. What is q(r)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 41?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f - 29. Let y be g(12). Let n = -40 - y. Suppose 0 = -3*z + 2*x - 2, z - x + 3 - n = 0. Solve -2*s + 5*o - 33 = 0, z = 2*s + 2*o - 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1328645?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.6 + 1.8. Let t = d + -0.9. Let f(r) = 2*r**2 + 58*r - 782. Let y be f(10). Which is the closest to -1? (a) y (b) t (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 2:41 PM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 15*a + 332. Let b(t) = -3*t - 66. Let k(c) = 11*b(c) + 2*g(c). Let p be k(-16). Let w(z) = z**3 + 13*z**2 - 12*z + 17. Determine w(p).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 24930490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 296 = 236. Solve -x + k = -5*i, x + 2 = -1 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(-6)*(-27)\/90. Which is smaller: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of -1 + ((-1905)\/(-3) - (8 - 8))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16 by 40.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + c - 34, 0 = 4*x + x + 4*c + 14. Sort x, -4, -1, -2 in decreasing order.\nAnswer: -1, -2, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 391980 is divided by 427?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 642041 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 4*y = -1968, 11*r - 14*r + y = -1484. What is the highest common divisor of r and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2266*q**3 - 1855*q**2 + 2607481*q wrt q?\nAnswer: 13596*q - 3710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**3 + 18*b**2 - 2. What is d(-9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 2, -3, 7765, -5.\nAnswer: -8, -5, -3, 2, 7765","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k - 19. Let j be x(-8). Let r(d) = -d**2 + 12*d - 5. What is the remainder when r(j) is divided by 23?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**3 + 158*l**2 - 14*l - 404. Calculate the remainder when t(-79) is divided by 65.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (10 - 7) - (4 + -13 - -7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 104 - 101. Solve 0*c**3 + c**3 - 75*c + 45*c**2 - 125 - 6*c**w = 0 for c.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -57 + 57.000075. What is d rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 6*m**2 - 10*m + 2. Let z be f(2). Solve -11*a - 17 = -z for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 3:31 PM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -60 - -182\/3. Which is the nearest to u? (a) -3 (b) 2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - r**2 - 7*r + 3. Let h be j(4). Suppose 3*x = 2*l + 11507, -5*l - h + 3 = 0. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-4))\/((-7)\/70). Suppose 25 = 3*w - 2*q, m*q = -w - 3*w - 5. Solve 14 = -3*n - o, 17 = -w*n + 3*o - 11 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 691108603.\nAnswer: 19, 3389, 10733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 times -2.11?\nAnswer: -0.1899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -261446 and -1307229\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 19*h - 76. Suppose 48 = 4*l - h*v, -8*v + 9*v - 33 = -2*l. Calculate the remainder when 47 is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/3*6\/4*-1. Does 8 divide ((-88)\/8 + 6)\/(h\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -7\/4, 1, -1\/3 in decreasing order.\nAnswer: 4, 1, -1\/3, -7\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 895803 is divided by 895780?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4085 is divided by 67?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 532*g - 290*g - 123*g = 6902 for g.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 42321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 1 - (-1 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence baa when three letters picked without replacement from {c: 2, b: 2, a: 6, j: 2}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -17*y**2 - 4*y - 12. Let s(h) = 8*h**2 + 2*h + 5. What is 4*p(j) + 9*s(j)?\nAnswer: 4*j**2 + 2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4*sqrt(153).\nAnswer: 1 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -153*k**4 - 1102*k + 1157. Differentiate q(j) with respect to j.\nAnswer: -1836*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/145460 and -15\/8.\nAnswer: 290920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -d**6\/280 + 3*d**4\/56 - d**3\/7 - 2*d**2. Determine k, given that n(k) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -399631*j + 399597*j - 204 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 4 = -2*d - 11, -5*d = 25 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of n**6\/40 - n**5\/10 + n**4\/12 - n**3\/3 - n**2. Suppose -70*j - 156 = -122*j. What is the tens digit of r(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 749.6 - 654. Let w = -95.60000927 + t. Round w to seven decimal places.\nAnswer: -0.0000093","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 509346 (base 13) to base 16\nAnswer: 1ca343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 3*j - 70. Let d be (-1 + 4)\/((-9)\/(-6)). Suppose -j = -d*i + i. Solve -2*n - 2*n + 3*y = -i, 4*y - 18 = -2*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w**2 - 66*w - 384. Calculate n(-8).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -15012, -60058, -135136, -240246, -375388, -540562, -735768?\n\"Answer: -15016*z**2 + 2*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {z: 2, f: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -16*y + 3 - 10 + 0*y + 21*y**2 + 5. What is the hundreds digit of o(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away -30.73?\nAnswer: 31.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8630700 to the nearest integer?\nAnswer: 2938","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/2)\/(1*12\/(-24))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of -v**6\/20 - v**5\/60 + v**3\/3 + 4*v**2. Is f(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 + 24?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 3219 = 3*n, r = n - 3*r - 1073. Let p = n + -2161. Let z be ((-2500)\/(-8))\/((-1)\/p). What is z rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1647 + 1647. Let h(k) be the second derivative of 1\/72*k**4 + 0 - 1\/12*k**3 + 5*k + r*k**2. Factor h(t).\nAnswer: t*(t - 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -129 - -224. Let k = z + -97. Let y(s) = 17*s**2 - s. What is the tens digit of y(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + (378\/3)\/2. Let g = p + -58. Factor -10*x - 4 - x**2 + 3*x**2 + 10*x**3 + 5*x**2 - g*x**2.\nAnswer: 2*(x - 1)*(x + 1)*(5*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23)\/(322\/210) + 14 + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 to the power of 1\/2, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 63504 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(36)*-3 - sqrt(36))\/sqrt(12) + sqrt(147)*3)**2.\nAnswer: -4335","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 9*q - 3. Let u(s) = -95*s + 2. Give y(u(b)).\nAnswer: -855*b + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7286349758?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(70) - sqrt(70)*-2) + sqrt(70))*-5)\/(sqrt(120)\/(sqrt(12) + 2*sqrt(12))))**2.\nAnswer: 25200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 635 and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 593*w**2 - 12272?\nAnswer: 1186*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -5. Let d(y) = 2*y**2 - 3*y - 3. Let v(f) = -4*f - 3 + f**2 + 99 - 100. Determine p*d(m) - 3*v(m).\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224837287 is divided by 342.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/2 - 60\/(-8). Suppose 6*s - s = q + t, -5*q = -3*s + 13. Let a = s - -8. Solve 0 = 3*v - 6*v - a for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 3*o**2 - 29*o + 5. Let i be f(-7). Let j be (-10)\/i + (-190)\/228. Are 0 and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 6.9215571 minutes?\nAnswer: 0.004806636875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -2*b - 15, -5*o + 465 = 5*b. Is o a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 336.66l?\nAnswer: 336660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2149945?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30 + 2)\/2 - -8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/10 - 4\/10. Suppose 2*m + 23 = 5*o, 4*o - 6*m = -m + 15. Suppose b = 5*p + o, 4*k - 4*p + 1138926 = 2930. Round k to the nearest ten thousand.\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123835 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 456623645?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -10*s**2. Let l(x) = 39291*x**2. What is l(t(q))?\nAnswer: 3929100*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8\/50*-3*(-5)\/2\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 440 is divided by 31.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -80, -95, -140, -227, -368, -575?\n\"Answer: -2*j**3 - 3*j**2 + 8*j - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 2*w + 2*o, 0 = -4*w + 6*o - 11*o - 10 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 + 42 - 29)*(0*h**2 + 0*h**2 - h**2).\nAnswer: -30*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 36.79 + -23.3\nAnswer: 13.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 8*h**2 - 6*h - 11. Let q(c) = c**3 + 8*c**2 + 6*c + 10. Let a(o) = -3*l(o) - 4*q(o). Let g = 6871 - 6878. What is a(g)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9305 and 19339.\nAnswer: 179949395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-10)\/15)\/((-2)\/18). Let p be (-72)\/16*(-8)\/c. Let x(r) = p*r + 7*r - 6*r - r**3 + 7*r**2. Determine x(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -4*j**2 + 54*j + 44. Let l be b(4). What is the highest common factor of l and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(17) - (-1 + sqrt(272) - sqrt(272))**2) - (sqrt(17) + -1 + -2 + (sqrt(170) + sqrt(170)*-2 + sqrt(170))\/sqrt(10)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**2 + q - 2. Let z(l) = -5*l + 240. Let r be z(47). Suppose -9 = -2*w - 5*o, -r*w - 2 = -4*w - 4*o. Determine u(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 241\/16929?\nAnswer: 241\/16929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25004 and 2336088?\nAnswer: 16352616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, u: 3, h: 2, i: 7}. What is prob of sequence kiku?\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/385 and -53\/20570?\nAnswer: 143990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 65122 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -g**3 - 30611*g**2 - 235128307*g - 13303043553 = 0.\nAnswer: -15277, -57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -56364, -112718, -169072, -225426, -281780?\n\"Answer: -56354*n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 4840435.\nAnswer: 38723480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-3))\/((-4)\/(3*4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -13759, -14098, -14437, -14776?\n\"Answer: -339*b - 13420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 12*r + 245. Let u be s(-20). Solve 4*w - 25 = -3*h, -u*h + 3*h = -5*w + 14 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -4*y + 8. Let v be 2\/y*(4 - 8). Solve -2*k + 3 = -v for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4738419 is divided by 4885.\nAnswer: 4854","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2145538*r**3 - 12*r**2 + 6*r**2 + 6*r**2.\nAnswer: 2145538*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*s = -3704 - 1257 + 61. Calculate the remainder when 179 is divided by s.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 divided by 1515?\nAnswer: -13\/303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 165*(2 + 1)\/9. Let d be (-10)\/s + (-70)\/(-22). Suppose d*w - 94 = 44. What is the remainder when w is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -0.4 (b) 0.01 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150735 is divided by 12560?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 25750?\nAnswer: -25752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a kilometer in meters?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 87\/2 of a day?\nAnswer: 62640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1763, -1974, -2569, -3740, -5679, -8578, -12629, -18024?\nAnswer: -24955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.155981139 plus -491?\nAnswer: -488.844018861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 663, 1327, 1991, 2655, 3319?\n\"Answer: 664*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29*v**2 + 664*v + 90542 wrt v.\nAnswer: -58*v + 664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -426*r - 102. Let f be b(-24). Suppose -14*g = -0*g - f. Does 24 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9793541437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 843810, 843892, 843974?\nAnswer: 844056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002971472 rounded to 4 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 987927389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00030479 to five dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10351325183 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13648*f - 259590 + 1228598 = 0 for f.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/6 - (-2)\/6. Let z = -4 - -5. Solve -r = u + z for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -418, -1656, -3714, -6586, -10266?\nAnswer: -14748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*w**2 - 4*w**3 - 3 + 7*w**2 + (4*w + 0 + 0)*(-5*w**2 - w**2 + 4*w**2) to h + p*w + r*w**2 + l*w**3 and give l.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -56 - -56. Suppose -2*j + 176 = 2*s + 2*s, a = -s. What is the remainder when j is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5175 (base 8) to base 12\nAnswer: 1679","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*s*z**3 - 1474*s*z**2 + 23808*s - 3 wrt z.\nAnswer: -12*s*z**2 - 2948*s*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7071?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 10102100021110111?\nAnswer: 10102100021110200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 268015?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 388619940.\nAnswer: 2, 3, 5, 1361, 4759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/25 (b) -12 (c) 25 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160897?\nAnswer: 11, 14627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**4\/7 + 3*z**3\/7 + 12*z**2\/7 - 12*z\/7.\nAnswer: -3*z*(z - 2)*(z - 1)*(z + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + -1)\/(0 - -2). Suppose u = -0*g - g + 2. Let m = -1564 - -1568. Calculate the highest common factor of m and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -4\/7, -0.03, -55, 9 in increasing order.\nAnswer: -55, -4\/7, -0.3, -0.03, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3 = -5. Suppose 2*v - 5*a + 7 = -9, -4*v + a + 4 = 0. Factor -v*i + 0*i + 0*i**2 - i**4 - i**2 + 2*i**2 + x*i**3.\nAnswer: -i*(i - 2)*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/435 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -11*p - 4. Calculate l(-3).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(70)*-5)\/sqrt(10).\nAnswer: -10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -6. Let a = 29 + -34. What is the nearest to -0.1 in -4\/5, p, a?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1142*m - 41 = 1138*m - 9*o, 3*m - 12*o = -63 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48198113\/6465602 + 1\/587782. Let 2\/11*i + 158\/11*i**3 - 78\/11*i**4 + 0 - o*i**2 = 0. What is i?\nAnswer: 0, 1\/39, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 2. Let w(k) be the first derivative of -3 - 5*k - k - o + 3*k**3. Differentiate w(h) with respect to h.\nAnswer: 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12010120100 + -1?\nAnswer: 12010120022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 6, t: 12, d: 1}. Give prob of picking 2 p.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y**4 - 87404*y**3\/3 - 7588384*y**2 - 26454916*y\/3 - 1259064 = 0. Calculate y.\nAnswer: -243, -1, -1\/6, 3886","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 259 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20398)\/1269 - (-8)\/108?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c**2 - 7*c**2 + 11*c**2 + 11*c**2.\nAnswer: 15*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 102694*0.2\nAnswer: 20538.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 825 + -464. Does 19 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 43\/2 of a year?\nAnswer: 258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-345)\/(-1265) - 1968\/5280?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 2:52 AM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 164 = 3*w + 176, -2*p + 4*w = -34 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-16) - 5\/1320*82. Let i = 0.15 + 0. Let j = i + 3.85. Sort 0.2, j, g in increasing order.\nAnswer: g, 0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -7\/5*v**3 + 10 + 18\/5*v + 33\/10*v**2. Let y(o) = 0. What is o?\nAnswer: -3\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -65\/626?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-10) - -1)*38?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3188377881.\nAnswer: 3, 13, 461, 59113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*t**2 - 30*t**3 - 2*t**2 - 6*t**2.\nAnswer: -30*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0183 and -0.0294174.\nAnswer: 0.00053833842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -x**5\/40 + 9*x**4\/32 - 5*x**3\/4 + 11*x**2\/4 - 3*x - 315. Solve f(o) = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -69 - -12. Let r = w - -62. Let q(u) = -u. Let v(i) = 31*i**2 + 5*i + 9. Let g(a) = r*q(a) + v(a). Find the first derivative of g(k) wrt k.\nAnswer: 62*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1085379+250\nAnswer: -1085129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 589067\/6 + 154\/132 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*v + 87*v = -1428 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/((o\/o**(-2\/33))\/o)*(o**(-1\/60)\/o)\/o assuming o is positive.\nAnswer: o**(-237\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -25, -24, -23, -22?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 12. Suppose 0 = 3*q - 8*q - h + 50, -10 = -q + g*h. What is the greatest common divisor of q and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.19 (b) -34\/11 (c) 247\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1319, -3, 5, -0.14 in descending order.\nAnswer: 1319, 5, -0.14, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 0. Let b = -118\/3 - -1310\/33. Is x at least b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4\/11 - 1314*s**3\/11 - 24084*s**2\/11 - 145368*s\/11 - 291600\/11.\nAnswer: 2*(s - 675)*(s + 6)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p - 23. Suppose 2*a = 21*a - 12198. Let c = 658 - a. What is n(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*5*(-4)\/(-120)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 119 - 110. Suppose 4*v = v + 2*n + 11, v + 3 = -n. Let x = l + v. Calculate the lowest common multiple of 8 and x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zpp when three letters picked without replacement from ppppzpppzpppppzppp?\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-1032)\/32)\/((-10)\/8880)?\nAnswer: 2, 3, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*h*j**4 + 3*h*j**2 - 2*h + 14619*j**4 - 88978 wrt j?\nAnswer: 8*h*j**3 + 6*h*j + 58476*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 m when two letters picked without replacement from {m: 3, i: 2, g: 1, v: 3, s: 9, u: 1}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -a**6\/12 - a**5\/10 + a**4\/8 + a**3\/6 + 4. Factor n(m).\nAnswer: -m**2*(m - 1)*(m + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) 0.2 (c) -5176904\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8829172 to the power of 1\/2, to the nearest integer?\nAnswer: 2971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 7*w + 15*w. Suppose 19*q = 16*q. Factor w*z + q - 1\/4*z**3 - 1\/2*z**2.\nAnswer: -z**2*(z + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*i - 21*i - 145 = -4*b, -5*b + 200 = -5*i. Solve -2*q + b = -3*a - 2*a, -10 = -3*q - a for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 57 + -53. Let f = -2452997.9999904 - -2453002. Let h = f - s. What is h rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 2*t - 7, 4*t + 5 + 15 = 0. Sort 3, i, 1 in descending order.\nAnswer: 3, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 1 + 6 - 1 + 12 - 8*c**2.\nAnswer: -8*c**2 + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(108)\/sqrt(3) + sqrt(36))\/(sqrt(48)*1).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 11:43 PM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(6\/5)*w\/(w*w*w**(-23)\/w*w))\/(w**(-2\/13)\/w**(-6)))**(1\/53) assuming w is positive.\nAnswer: w**(1128\/3445)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -438, -428, -418, -408?\nAnswer: -398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yeyeskzeaeeza. What is prob of sequence ys?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2\/9 + 3212*v\/9 + 712.\nAnswer: 4*(v + 2)*(v + 801)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 11620 divided by 2905\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 180\/20*(-2)\/(-18). Solve -5 = 6*i + l for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -4907019*m**2. Let u(i) = -i + 9. Give u(q(p)).\nAnswer: 4907019*p**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3*p**3 - 5*p**2 + 13*p. Let x = -86 - -88. Let s(z) = z**3 + 2*z**2 - 6*z. Give x*t(k) + 5*s(k).\nAnswer: -k**3 - 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -94*h + 97*h. Solve -h*m + 0*m - 4*q - 18 = 0, 15 = -3*q for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, t: 3, m: 2, g: 2}. What is prob of picking 2 t, 1 m, and 1 n?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**2 - 4*m + 17. What is j(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -756 + 1519 - 5*y**4 - 761 + 88*y**3 in the form x + u*y + f*y**3 + o*y**4 + s*y**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -1157 and -1156 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z - 2 + 2 + (-1 + 2 - 2)*(0 - 3 + 2)*(35 - 35 - 2*z).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (168*s**2 - 404*s**2 + 200*s**2)*(-2 + 2 - 2*s) + 2*s**3 - 2*s**2 + 2*s**2 + (-3 - 2*s**2 + 3)*(-2 - s + 2).\nAnswer: 76*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 16 - 14 = b, a - 17 = 4*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/(-4) + 4\/16. Let o(n) be the first derivative of 1\/2*n**f - 2 + 0*n**3 + 0*n + 0*n**4 - 1\/5*n**5. Find the second derivative of o(j) wrt j.\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -1413*s. Let z(w) = -1468*w**2. Determine f(z(n)).\nAnswer: 2074284*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/14 and 19\/10554180.\nAnswer: 10554180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2. Let c(j) = -j**2 - 1. Let d = 4 - 14. Let r be (-4)\/d + (-9)\/(-15). What is r*b(v) - 2*c(v)?\nAnswer: 3*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1711 + -572. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*w - 19. Suppose 6 = w*z - 6. Suppose 3*n - 3*d + 8*d - 30 = 0, -2*n + 4*d - 2 = 0. Solve -y - 3*y - 3*k = 3, -z*k - 4 = -n*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/3030 and -191\/210?\nAnswer: 21210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -3\/2*u**4 + u**2 + 0*u - 5 + 0*u**3. Find the second derivative of a(c) wrt c.\nAnswer: -36*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*t + 206 = -26*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3245053070.\nAnswer: 2, 5, 7, 181, 256121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of b**8\/336 - b**7\/70 + 67*b**5\/60 - 5*b**4\/8 - 636*b**2 - 3. What is the second derivative of x(p) wrt p?\nAnswer: 20*p**3 - 36*p**2 + 134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 53971726?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 + 26*h + 83. What is x(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -10. Let c be 5\/4 + (-4)\/16. Let y be 3\/c + t + 0. Solve 4*x + y = 0, 0 = h + 2*x - 2 + 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (20\/6)\/((-4)\/36). Let b = 18 + w. Let f be 0 - b*(2 + -1). Calculate the highest common divisor of 24 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -531*m = -540*m + 9 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14.7 - -15. Let s = h - -0.3. Let x = -7.4 - s. Which is the smallest value? (a) x (b) -0.4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 142 - -84. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*s + 0*s - 2*s**2)*((-4*s + 3*s + 3*s)*(6*s - s - 3*s) + (s + 4*s - 3*s)*(1 - s - 1)) in the form h*s**4 + v*s + y + j*s**3 + d*s**2 and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/(-11))\/((-39)\/(-429)). Let p(a) = -a**2 - a. Let n(v) = 2*v**2 + 5*v. Calculate m*p(r) + n(r).\nAnswer: -2*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 = 11*b - 28. Let n(w) = -3*w**2 + 3*w - 3. Let s(i) = 3 + i + 4*i**2 - 5*i**2 - 4. Give b*s(a) + 4*n(a).\nAnswer: -2*a**2 + 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 27*i**2 + 16*i + 9. What is x(-1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 245 (b) -1\/8 (c) -1 (d) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1037386?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uyay when four letters picked without replacement from {u: 9, a: 2, o: 1, y: 3}.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-10))\/(22\/(-1650)*5*-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1202130404 (base 5) to base 6\nAnswer: 135215241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -47*v + 201. Let s be z(4). Suppose -s*h + 23035 - 1507 = 0. What are the prime factors of h?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 117 = 131*n - 130*n, 5*k + 5*n + 285 = 0. Suppose -5*b - 32 - 258 = 0. Let u = b - k. Is -1 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -4*g**2 + 422736*g + 128881408 = 0.\nAnswer: -304, 105988","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 108\/7 < 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(65)\/(2*sqrt(405)) + (-1*sqrt(13) + 3 + 5)*-4.\nAnswer: -33 + 73*sqrt(13)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h**2 - 4*h**3 - 2*h**3 + 5*h**3 - 2*h**2 - 4*h - h**3 as o*h**3 + n*h + d + u*h**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14007828?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 493980?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24512803.\nAnswer: 7, 47, 74507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that z**2\/3 + 2167*z + 6500\/3 = 0.\nAnswer: -6500, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + -1010?\nAnswer: -1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*u = 442*u + 6963 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5780.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*g**2 + 1159*g**2 + 479*g**2 - 431*g**2 + 1219*g**2 + 1070*g**2.\nAnswer: 3567*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 709 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 3*d + 9 = 28, 0 = 5*v + 856*d - 846*d - 10 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -3*d + 8*n, 30*n + 20 = 35*n for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 40?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5552 - 5271. Calculate the remainder when 1061 is divided by s.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 519585 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w - 2. Let b be n(-21). Calculate the greatest common divisor of 40 and b.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + (23 - 11) + -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1432\/8565 + -3\/5710. Let 0 + 1\/3*r**3 + 0*r**2 - 1\/6*r + 0*r**4 - a*r**5 = 0. Calculate r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*w, 2 = 5*g - 4*w - 26. What is the third derivative of 8*v - v + 2*v**2 - 7*v + v**g wrt v?\nAnswer: 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 5\/6*l**2 + 0 + 0*l - 2\/3*l**3 - 1\/6*l**4 = 0.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -z + 156. Let f = z + 75. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -313*h**5 + 217*h**2 wrt h.\nAnswer: -18780*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/2, 2, -4, -69054?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22835427.\nAnswer: 3, 7611809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**1)\/(p*p**(-2\/5))*p**(-1\/6)\/(p**(4\/3)*p))**44 assuming p is positive.\nAnswer: p**(-242\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 2)*(9*m - 24*m - m + (2*m + 2*m - 5*m)*(4 - 5 + 2)).\nAnswer: 34*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1431079?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.1, 11, -1.22, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/2)\/((-22)\/22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0244*-4.\nAnswer: 0.0976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -539.002 to the nearest ten.\nAnswer: -540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*5*(-5)\/5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2892, -11488, -25824, -45900, -71716, -103272?\n\"Answer: -2870*o**2 + 14*o - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-4\/3))**(3\/38)\/(m\/m**(-10))**(-2) assuming m is positive.\nAnswer: m**(835\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*u**4\/3 + 13451550*u**3 + 22618021312424*u**2 + 38030902300600358624*u\/3 - 9507738297792752768.\nAnswer: 2*(u + 1681444)**3*(4*u - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - 2 - 4088\/(-7). Suppose 3*b - 438 = -3*f, 3*f = -f - 5*b + k. What are the prime factors of f?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 44095.99 - 44096. Which is the third biggest value? (a) 0.3 (b) -3 (c) p (d) -36 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 6 - 4) + 12 - 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-2)*(5 + 15). Let n be (-8 - 7)*(-6)\/9. Calculate the highest common factor of h and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jy when two letters picked without replacement from hxyvvvyhjhjhxhjhhhhh.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 50931608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/3 - 7\/42. What is the closest to -0.1 in x, 5, 2\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 765?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 43194 or -29\/3?\nAnswer: 43194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(605))**2 + sqrt(605) + 3 + -4 + (-2*sqrt(605) + sqrt(605))**2 + sqrt(605) + (3*2*sqrt(605) - 4*(sqrt(605) + -1))**2.\nAnswer: 198*sqrt(5) + 5460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -37153, -74289, -111421, -148549, -185673, -222793, -259909?\n\"Answer: 2*n**2 - 37142*n - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 2:55 AM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**2 + z**3 + z**2 + (1 + 1 + 0)*(0*z**3 + z**3 + 0*z**3) + (-3*z - z**2 + 3*z)*(-4 + 4 - 3)*(-11 - 16*z + 11).\nAnswer: -45*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 6*g**2 + 3*g + 1. Let l be j(-5). Suppose -6*t - 13 - l = 0. Let w(a) = -a**3 - 3*a**2 + 5*a. Let r be w(t). Put r, 0, -6 in decreasing order.\nAnswer: 0, r, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33760350 a multiple of 450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -4 - 1)\/(0 + (-4)\/(-40)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((564*t**2 + 549*t**2 - 1173*t**2)*(-2*t**3 - 2*t + 2*t) + 11*t**5 - 6*t**5 - 2*t**5)*(2 - 2 + 2)*(-3 - 2 + 6).\nAnswer: 246*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - 9*w + 10. Let p be i(8). Suppose b + b - p = 0. Let t be -3 - b - -10 - 3. Solve -t*z - z + 12 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -12183370 and 2?\nAnswer: 12183372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 4) to base 16\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 0.19, 2, 2\/3, -2\/3, -344?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 222, 216, 196, 156, 90, -8?\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m + 1. Let s be c(-5). Suppose s*a = 3*a + 12. Solve a*j + 7*l - 2*l - 1 = 0, 5*l - 3 = -2*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -36\/695 and -17\/335.\nAnswer: 46565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -4, 4, 47 in ascending order.\nAnswer: -10, -4, 4, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -235, -526, -923, -1420, -2011?\nAnswer: -2690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -4*i, 4*i - 40 = 5*r. Let l be (2\/3)\/(r\/(-36)). Solve f = 1, -4*f + 7 = -l*d + 2*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2929 - -99559\/34. Calculate the common denominator of h and 11\/8.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -28. What is the remainder when 37 is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5585*t - 4 + 1754*t + 4.\nAnswer: -3831*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10961008 and 1136?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-13)\/(13\/(-4)) - 2. Suppose 2*r = v + 2*v - 85, v - 5*r = 37. Suppose -5*f - 3*t = -v, -3*t - 3 = -15. Solve -25 = -f*m - x*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001100110110 + -11101?\nAnswer: 11001100011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -212 - -217. Suppose t*c - 211 = -126. What is the remainder when c is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47 - 44. Calculate the smallest common multiple of r and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -10*j**2 + 7*j - 20. Let l(z) = -4*z**2 + 2*z - 7. Let r(y) = -8*l(y) + 3*t(y). Give r(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 557 - 211. Let h = 356 - c. Let m be (-20)\/(-6)*(2 + 1). Calculate the greatest common divisor of h and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 4*w**3 - w**2 + 7*w. Suppose 2*g + 4 = -8. Let x(r) = 5*r**3 - r**2 + 8*r. Suppose 3*n = 5*u - 19, u + 0 = 5*n - 5. What is g*t(m) + u*x(m)?\nAnswer: m**3 + m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92\/(-14) - (-20)\/35 - (-123079)\/20636.\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -14a29e7?\nAnswer: -14a29e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104)*-3 - sqrt(104))*-6)\/(sqrt(392)*5).\nAnswer: 24*sqrt(13)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2733, 6905, 13931, 25239, 42257, 66413, 99135, 141851?\nAnswer: 195989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 u when two letters picked without replacement from {a: 10, g: 2, u: 6}.\nAnswer: 20\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -8 + s**3 - 8*s**3 - 8*s + 10*s**3 - s**3. Let k(w) = w + 1. Calculate 24*k(h) + 3*l(h).\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23707?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -5, -175, 97 in ascending order.\nAnswer: -175, -5, -1, 4, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 0) + (-16 - (16 + -20)) + 6.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 253 and 10370539?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 226756 and 664.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-1\/4)\/w*w)\/w)\/(w*(w*w**(1\/2)*w)\/w*w*w))**(3\/2)*((w\/(w\/((w*w*w**0)\/w)))\/w**(1\/4))**(31\/4) assuming w is positive.\nAnswer: w**(-45\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 + 4 - 3)*(-417)\/(-6)?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -g - 14 + 4, 0 = k - 3*g - 2. Let i = k + 10. Which is the smallest value? (a) i (b) -1\/8 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4734 is divided by 396?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i**3 + 24*i**2 - 24*i**2 - 5*i**3 + 39 to b*i**2 + f + x*i**3 + q*i and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -14 + (-9768)\/(-703) - (-23087)\/19. Calculate the highest common factor of q and 150.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 7 = -r. Let d be ((r\/(-238))\/6)\/(6\/14). Which is bigger: 0 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t**3 + 3 - 1 - 3*t**2 - 1 in the form v + y*t**2 + u*t**3 + f*t and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/27)\/(((-2)\/6)\/1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45508?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3*v - 7 + 15 = 0, 2*d - 5*v = 7. What is the tens digit of 513 - (-5 + -2 + d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*j - 1 = 3*l, -173*l - 2*j - 13 = -170*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -12080 divided by 2416\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-69160 + 69160 - 339*r**2)*(0*r**3 + r**3 + r**3) + r**5 + 4*r**5 + 6*r**5.\nAnswer: -667*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**3 - 18*p - 3*p + 12*p.\nAnswer: -p**3 - 9*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9 + (-4)\/((-1)\/(2 - 3)). Suppose -4*f = r - 17 - 0, -3*f = 3*r - 24. Put -3, f, s in descending order.\nAnswer: s, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/(-14))\/(-1 - -3). What is the smallest value in -0.2, 0.1, w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t + 2 - 2 + (-9*t + 42 - 42)*(1 - 4 + 0).\nAnswer: 29*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 1:45 AM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.18 + -0.32. What is the closest to 0 in -2\/11, 0, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4164103*-0.096.\nAnswer: 399753.888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 21 = 4*h, -4*h = 3*o + o + 12 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17759307?\nAnswer: 3, 313, 18913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**2 + 0 - 1 - o**4 - 19*o**3 + 3*o + 22*o**3 to g + k*o + v*o**3 + m*o**2 + w*o**4 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**4 - 1214*g**3 + 137166*g**2 + 2101526*g + 7568344 = 0.\nAnswer: -7, 172, 449","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*0.004.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 161536, 646135, 1453800, 2584531, 4038328, 5815191?\nAnswer: 7915120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1345327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 25165, 100685, 226561, 402799, 629405, 906385?\n\"Answer: v**3 + 25172*v**2 - 3*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 9 = 3*k + 20, 2*x + 1 = 3*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2, 331, 2, -119, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-5\/4))**(2\/3)*(l\/l**28*l)\/(l*l**15))**(10\/7) assuming l is positive.\nAnswer: l**(-1285\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-14456)\/78)\/(2\/3). Let g = j - -287. Calculate the remainder when 59 is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -n**3\/3 - 5*n**2 - 10*n + 1. Let g = -141 + 132. Let t be p(g). Which is greater: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1728149*d**2*l - 100*d*l**2 - 4*l**2 - l + 34896243 wrt d?\nAnswer: -3456298*d*l - 100*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 492*s + 4. Let o(z) = 245*z + 2. What is 9*o(m) - 4*u(m)?\nAnswer: 237*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k**(1\/3))\/(k**(-13)*k*k))\/(k**(-3\/5)*k**(-13)))**(1\/12))**35 assuming k is positive.\nAnswer: k**(2723\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 15 - 1b2906?\nAnswer: -1b28b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*l**3*x - 5*l**3 - 7*l - x**3 + x**2 wrt x.\nAnswer: -2*l**3 - 3*x**2 + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 4\/3 (b) -0.06 (c) -1\/3 (d) -0.4 (e) -0.3 (f) -1\/4154\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 5*v = -3*u + 2, 5*u = 4*v - 18. Is 4 a factor of ((-488)\/40)\/(u\/10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -112 - 207. Let f = 331 + r. Suppose 105 = 5*w + 2*k - 178, -5*k = 5. Calculate the remainder when w is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-2))\/(18\/(-9))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 take away -2643546139?\nAnswer: 2643546456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -162 take away -499912576?\nAnswer: 499912414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -23*g**3 - 8*g**2 - 8*g - 6. Let l(r) = r**2 - 1. Let z(t) = -8*t**3 + 3*t**2 - 3*t - 8. Let w(u) = 6*l(u) - z(u). Determine 3*n(c) + 8*w(c).\nAnswer: -5*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 272*a - 255*a = 2805. What is the remainder when a is divided by -2*(-23)\/2 + -2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -147 divided by -3.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -255 + 274. Let l be z\/2 - (6 + (-52)\/8). Calculate the highest common factor of l and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (12 + -3 - (2 - 19)) - 5.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 833 and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -6*w**2 - 4*w - 27. Let s(o) = 8*o**2 + 5*o + 28. Give -4*s(r) - 5*x(r).\nAnswer: -2*r**2 + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 - 22. Let k = -24.4 + 20.4. Which is the third biggest value? (a) z (b) -2 (c) 1\/8 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - 4. Let c be j(2). Solve -r + 2 - 4 = c for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(208) + (-2*sqrt(104))\/sqrt(8).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12662.\nAnswer: 2, 13, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141*v = -61*v - 67*v - 2574. What is the remainder when 1160 is divided by v?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/34616 and 137\/96.\nAnswer: 415392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 20 * 9\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 56436329517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 0\/2 + (8 - 5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t. Let a(n) = -3*n + 11894. Give u(a(r)).\nAnswer: -9*r + 35682","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-19 - -22) + 0 + 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1539 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence emam when four letters picked without replacement from {m: 4, g: 2, z: 2, e: 1, a: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 5915905.\nAnswer: 1\/5915905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = 263*u - 268*u - 10, -2*u = -2*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -266 - -292. Suppose 11*v - 11 = 275. Do v and j have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 6*k = 3*k + 26, 0 = -3*b + 5*k - 58. Let l = b - -12. Let s(u) = 95*u**3 - 2*u**2 + 1. Is s(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -581*a - 96 = -584*a + 2*r, 0 = a + 2*r - 24. Let b(q) = q**2 - q + 5. Calculate the remainder when a is divided by b(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 + 8*v + 8. Let n be d(-1). Let g(h) = h**2 + h + 1. Let s(f) = -5*f**2 - 6*f - 4. What is n*g(z) - s(z)?\nAnswer: 4*z**2 + 5*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 662442\/46 - 110\/(-1265) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -1. Let p be (-25)\/(-1) - (y + -4). Suppose 4*c - 7 = p. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3062 is divided by 295?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 476?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 41*w - 143. What are the prime factors of d(16)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrl when three letters picked without replacement from {r: 16, l: 4}.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4026 is divided by 43?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 14118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -4881868 and -4881871 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.4613 to 1 decimal place.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g + 17. Let h be b(14). Solve -4*s - 28 = 3*n, -4*n = -h*n + 4*s + 20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -41*c**3*h**2*z**3 + 19*c**3*h*z**2 - 5*c**2*h**2*z**3 + 31*c**2*h + c*h**2*z wrt c.\nAnswer: -246*h**2*z**3 + 114*h*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/(1248\/8))\/((-30)\/225*15\/24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) -4 (b) 407 (c) 359 (d) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 d, and 1 f when three letters picked without replacement from hddpdddpddpf.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 97 + -165. Round r to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(4\/9)*x\/x**(1\/9))\/(x*(x\/((x\/(x*x**30))\/x))\/x*x**4) assuming x is positive.\nAnswer: x**(-101\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -40671, -3, -1, -6, 1, 5 in decreasing order.\nAnswer: 5, 1, -1, -3, -6, -40671","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1330, 2853, 4382, 5917, 7458?\nAnswer: 9005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 12*v + 235. Let q be g(-26). Let r = 896 + q. Does 21 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 7*z**2 - 8*z - 8. Suppose -j - 3*j = 32. Let d be g(j). Find the common denominator of 93\/2 and (-6)\/(-4)*d\/48.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 12:25 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*(0 - (5 - 6)). Suppose -i - 4*q = -6*i + 185, 4*i - 144 = c*q. Is 12 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 10 = 4*l. What are the prime factors of ((-21)\/l)\/(1\/(-2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 29*n + 4. Suppose 0 = -510*o + 500*o + 30 - 10. Give t(o).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7, -2, -0.5, 2, -3\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -3 (b) -1\/2 (c) 15 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*o**2*z**3 - o**2*z**2 + 2*o*z**3 + 4*s*z**3 - 7*s*z**2 + 9*s wrt z?\nAnswer: -42*o**2 + 12*o + 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1836596 (base 10) in base 4?\nAnswer: -13000120310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a kilometer in meters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 = -70*d + 355. Let f(y) = y**2 - 5*y + 4. Let j be f(4). Solve j = d*u - 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 942 - 947 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002990079 rounded to 5 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-551)\/(632548\/(-37720)))\/((-4)\/(-14)).\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 2\/9, 2 in decreasing order.\nAnswer: 2, 2\/9, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 283154.77 rounded to the nearest 1000?\nAnswer: 283000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 - -52. Calculate the greatest common factor of z and 104.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/7 (b) 2\/3 (c) -575\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 215\/(-45) + (-1)\/(27\/6). Let a(c) = -18*c - 8. What are the prime factors of a(n)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2913 - -3082. Is t a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve r - 5 = -u + 3*u, -5 = 5*r - 4*u for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 200.2 times -0.3?\nAnswer: -60.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-9)\/(-6))\/(10\/(-4)). Let j be 5\/(-3)*(-8)\/(-10). Sort 0.1, j, z.\nAnswer: j, z, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 + 1006*q - 269720.\nAnswer: (q - 220)*(q + 1226)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -85 + (288 - 121) + -205?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 6*q**2 + 6*q - 5. Let k be l(-5). Let h = k - -20. Let i = -10 + h. Solve 3*j = 3*a + 24, 4*a - a - j + 16 = i for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 2.1. Which is the closest to t? (a) -4\/7 (b) -0.1 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.178 + 0.022. Let v be 2 - (1 - 5\/(-7)). Which is the closest to 0? (a) p (b) v (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14678 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 8*d**2 - 2*d - 3*d**2 + d. Let s be h(1). Let a(p) = p**3 - 4*p**2 - 3*p - 1. Let w be a(5). Solve -2*j = -3*j + 2, f = s*j - w for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -37.5413331 to 3 decimal places.\nAnswer: -37.541","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.8 + -2. Let o = -332 - -346. Let i be 45\/9 + (1 - o). Sort i, -2, 0.2, g.\nAnswer: i, -2, g, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173322157 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: In base 13, what is 7 - -2c89878?\nAnswer: 2c89882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2. Let p(b) = 9*b**2 + 3*b. Let g(l) = p(l) - 6*u(l). Let d be g(3). Calculate the greatest common factor of d and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y + 35*h - 14*h - 13*h - 108, -3*y + 3*h = 4*h - 49 + 23 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1950 or 2006?\nAnswer: 2006","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 162477007?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 623, 1238, 1855, 2474?\n\"Answer: n**2 + 612*n + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 10:50 PM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 28 and -0.01453.\nAnswer: -0.40684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2575860.\nAnswer: 2, 3, 5, 7, 6133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -897280*t**5 - 4*t + 88929 wrt t.\nAnswer: -17945600*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**2 + 13*t. Let x(j) = j**2 - 6*j. Calculate -6*k(q) - 13*x(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 518 and 357?\nAnswer: 184926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3*a = 3*o - 37, -5*a = 2*o - 21. Is o\/12 - (-463)\/3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -141240 + 10031?\nAnswer: -131204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -17099400 rounded to the nearest 100000?\nAnswer: -17100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 917?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wllllflhwhwhlulhllw. What is prob of picking 1 u, 1 f, and 1 w?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8470059 and 0.9.\nAnswer: 7623053.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 2:02 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/6*9\/10.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 6. Suppose 75 = n*g + 3*a, 3*a - 15 = -2*a. Suppose 5*y + 6 = 2*f, 2*f - y - 4 - 10 = 0. Calculate the remainder when g is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4*q - 23 = 0, 9 = 5*w - 3*q - 22. Which is the closest to -2\/7? (a) w (b) -7 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uxuxw. Give prob of sequence uwxx.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -170, -684, -1526, -2696?\n\"Answer: -164*o**2 - 22*o + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10971\/142 - -17\/71. Let l = t - 57. What is the common denominator of l and 8\/28 + ((-605)\/84)\/1?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vnryvvvyvlrv. Give prob of sequence yynr.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1710 and 835335?\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 189041 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 111 - 5?\nAnswer: 10b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2583038092?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - (-2 - 2\/(-2)) - -10. What is the highest common divisor of r and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 12:39 PM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 13300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8874, -1\/7, -117?\nAnswer: 8874","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 28*a**2 + 109*a - 447. What is o(3)?\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -369.373 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.268 + -1.732. Which is the nearest to -2? (a) 0 (b) -5\/4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in 0.12, 1, -6.4?\nAnswer: -6.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of 3*k**5\/20 - k**4 - 5*k**3\/2 - k + 1. Let n(g) = 0. What is g?\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 75599 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 8) in base 4?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.4855405 rounded to 4 dps?\nAnswer: -5.4855","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*u**5\/3 + 418*u**4\/3 + 6812*u**3\/3 - 80072*u**2\/3 + 200192*u\/3 - 67712\/3 = 0. What is u?\nAnswer: -46, 2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(-2)\/(-30))\/(655\/1965).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15487937.\nAnswer: 15487937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 573733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*26.\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 1:32 PM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30167 and 730228.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of 1\/22*q**4 + 0*q**2 + 0*q - 2\/33*q**3 + 4. Determine m so that t(m) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*v - 275 - 222 = 0 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -s. Suppose 5*l - l - 2240000 = s. Suppose -d - l = d. Round d to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*q = 11041 - 11641. Let f(v) = v**3 + 5*v**2 - v. Let x be f(-5). Let y = -0.1 - 0.9. Which is the closest to y? (a) q (b) x (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j + j - 29. Let r(k) = -k**2 + 23*k - 76. Calculate the remainder when r(12) is divided by j.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/4*-1*2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*d + 68 = 5. Solve -d*s = -0 - 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 2:39 AM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 654 and 6.\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9.11 - -13.083. Let x = v - -0.027. Let w = -42 + 41. Which is the second biggest value? (a) 15 (b) w (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*z - 93*z**4 - 37*z**5 + 6 + 93*z**4 + 31 wrt z?\nAnswer: -740*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/115 and 58\/1011475?\nAnswer: 23263925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0199367 + 0.02. Round k to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -1838*t - 3680. What is z(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -442990 divided by 37?\nAnswer: -442990\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**4 - 6886*i**3 - 13780*i**2 = 0. What is i?\nAnswer: -2, 0, 3445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -25*w**2. Let a(i) be the first derivative of -2*i**3\/3 - 388. Determine a(x(s)).\nAnswer: -1250*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3 + 3944*h**2 - 123404*h - 2279576.\nAnswer: -4*(h - 953)*(h - 46)*(h + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*v**3 + 97*v**3 + 76*v**3 - 43*v**3 + 82*v**3.\nAnswer: 157*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -813707*n + 2116 = -813178*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9 - 13 - (-249)\/3. Suppose -7 = -3*x + 2*b, -3*x - 3*b = -7*b - 11. Calculate the highest common divisor of x and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -106 + 118. Let o = -12 + h. Is 13\/11 != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/9)\/(2\/30). Let n be 702\/(-45) + 3\/w. Let g = n - -20. Solve -g*z + z + 20 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7364517 to the power of 1\/3, to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from brsnohrn. Give prob of sequence hnso.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001499679 rounded to 6 decimal places?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5945 or -5915?\nAnswer: -5915","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (3 + -5 - -7) + 2 + 1\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 76155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((55\/(-4))\/(-11))\/(6175\/(-6840)).\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {i: 1, w: 4, c: 4, o: 4, q: 5, m: 2}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 8. Let h = y - -4. Let l = 0 + h. Sort l, 1, 0.\nAnswer: 0, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -16 - 28018?\nAnswer: -28033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 30*w**2. Let s(r) = -667*r**2. Calculate j(s(t)).\nAnswer: 13346670*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 79189.89 centimeters in kilometers?\nAnswer: 0.7918989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9b60 + 32c0?\nAnswer: -6870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 10:54 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-14) - (-92)\/(-28).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 377 by -101.\nAnswer: -377\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 804 and 6564?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2044680400?\nAnswer: 2, 5, 7, 59, 12377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 5*g - 35, 4 = g + 1. Suppose 5*a + 4*i - 2*i - 38 = 0, 0 = -5*i + d. Suppose a*y - 4*y = 70. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 55825*q - 55982*q + 4 - q**2 to the form i*q**2 + w + k*q and give k.\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from qqqqqqqqqqqqqqw?\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161 - 4*u**2 + 0*u**2 + 9*u**2 + 5*u**2 - 3*u**3 + 4*u**2.\nAnswer: -3*u**3 + 14*u**2 + 161","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10.3 - -2.7. Let t = i - 12.9999927. Round t to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, x: 1, j: 2, p: 1, f: 1, y: 1}. What is prob of picking 1 y and 1 j?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32.5 + 32. Put y, -3, 0.2 in descending order.\nAnswer: 0.2, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/(-18) + 14\/4. Suppose m*w - 6 = 4*q + 23, -3*w - 2*q + 53 = 0. Let d = w + -8. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-2 + -1 + 5 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*y + 30*y + 1928 = 0. Let x = y - 884. Is 9 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, 1, 3.3 in descending order.\nAnswer: 3.3, 4\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - 4*l**2 - l + 1. Let u = -1 + -2. Let h be d(u). Let p be (-3)\/(-6)*(-5 + 1). Sort h, -1, p in decreasing order.\nAnswer: -1, p, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 418350 and 700?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, i: 1, r: 1, h: 3, o: 6, g: 2}. What is prob of picking 1 t and 3 o?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 107 - 35 + 7*h + h - 5*h**2 + 7*h**2 in the form q*h**2 + y + a*h and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4 = -5*w + 17, -4*k = -4*w - 12. Let n(s) = -s + 5. Let u be n(3). Let h = u + k. What is the lowest common multiple of h and 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*f + 9*f + f)*(f + f - 4*f).\nAnswer: 28*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in 1\/4, 3\/7, -1\/3, -5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 56*a + 56. Is 39 a factor of i(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-12)\/(-2718))\/(4\/(-1353)). Let r = d + -1\/151. Which is the third biggest value? (a) 1 (b) r (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3094272 a multiple of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-2))\/(4\/8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/6)\/(1\/(-3)). Let f be (1 + -3)*a\/(-4). Let m(j) = 2*j + 4. Let t be m(-3). Is f at most as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -59*c. Let h be y(2). Let p = h + 281. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - 4 - -1 - 172\/(-4). What is the greatest common factor of s and 328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 199903?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -248 - 5*252\/(-70). Which is the nearest to x? (a) 1\/7 (b) -3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1350 by -103.\nAnswer: 1350\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 19 - 0. What is the second derivative of 3*r - 5*r**5 - q*r**5 - 7*r - 6*r**5 wrt r?\nAnswer: -600*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151 - 65 = 72*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 1\/2, -0.0189, -1\/11 in increasing order.\nAnswer: -1\/11, -0.0189, 0.3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from ybybapy.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*k - 2. Suppose -2*c - 8 = -16. Suppose -c*w = -0*w - 12. Are k and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6114979 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 2*x**3 + 2*x**4 - 24\/13*x + 8\/13*x**5 - 8*x**2 = 0 for x.\nAnswer: -3, -2, -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -554152, -2216617, -4987392, -8866477, -13853872, -19949577, -27153592?\nAnswer: -35465917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -4) + (-3 + 7 + -7 - (-100 + -6)).\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 10*k**2 - 19*k - 105. Let q be b(-5). What is the greatest common factor of q and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/5 and -49\/1996.\nAnswer: 9980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -4\/5, -3, -1, 5, 1.48496, 2, -3\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133 = -64*s - 187 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 295*q**2 - 102*q**2 - 194*q**2. Let j(w) = -w - 1432. Determine j(v(z)).\nAnswer: z**2 - 1432","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -20*m - 6. Let l be u(6). Let n be (1\/3)\/((-3)\/l). Let q = 14 - 0. Calculate the greatest common divisor of q and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(-1))\/(9\/(-6)). Suppose -m*h + 55 = h. Let r = -14 - -14. Solve -3*y + 4 + h = r for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*r - 1909 = 1708 - 482 for r.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -15*q + 59. Let m be f(11). Let b = -102 - m. Solve -5*o = -3*n - n - 7, -5*o + b = -3*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -104793129 by 4556223.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/215 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (95 - 18 + 68)*(-3 + 3 + h) in the form v*h + k and give v.\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -3. Suppose 3*z - 2*g - 9 = 2*g, -2*z + 6 = -3*g. Suppose -v - 20 = -z*v. Solve w*s = s - v for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -9. Put t, 4\/3, -5 in decreasing order.\nAnswer: 4\/3, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = g + 24. Let c = g + 217\/4. What is the closest to c in 0, -2, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 14) to base 15\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 208 - 194. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of 599*v**7\/210 + 17*v**4\/24 - 23*v**3\/6 - 13*v**2 - 6. What is the second derivative of x(z) wrt z?\nAnswer: 7188*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*f**3 - 42089*f**2 + 42089*f**2.\nAnswer: 10*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 503, -1, 5, 166 in ascending order.\nAnswer: -1, 1, 5, 166, 503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 h when three letters picked without replacement from lzshihzzkkk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7867670?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**2 + 13*v + 1. Let p be o(6). Let l(x) = 11*x - 5. Let d(a) = -21*a + 10. Let w(f) = 4*d(f) + 9*l(f). Let u be w(1). Solve -u = 2*z - p*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/21, -1\/8, 2\/9, 0.3, 5, 14052?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/4 and (3\/(-24))\/(2\/(-116))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4\/28*-2 - (-130)\/14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -2*i + 6*i + 6, 0 = -i. Let f be 2\/8*(0 - -1). Put f, 0.1, r in decreasing order.\nAnswer: r, f, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = -26*p + 447 + 233 for p.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*x + 68*x = 2*l + 13, 7 = -2*l - x for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 2*t + 12. Suppose 2*v = 2*c - v + 57, v = -t*c - 93. Let w be 9912\/2360 + (-2)\/10. Put c, w, 2 in descending order.\nAnswer: w, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.72 + -0.22. Let h = 0.20534 + 1.79466. Which is the nearest to -0.05? (a) -2\/5 (b) h (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 3*x**3 - x - 224*x**2 - 7 + 227*x**2 to the form v + u*x**3 + z*x + c*x**2 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 - -0.7. Let w = -0.76 + 0.56. Put r, w, -3\/7 in decreasing order.\nAnswer: r, w, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3907 is divided by 3850.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 33*j - 20. Let r be g(1). Suppose -77 = -66*v + 55*v. Solve r*p = v*p + 12 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-10)\/80)\/(10\/(-8560)). Suppose -4*d - 5*v = -2*v - 429, 570 = 5*d - 3*v. Let w = d - c. What is the smallest value in -1\/7, w, -2\/15, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219\/3416 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j + j - 3*j**2 - 5*j**3 + 7*j**3 - 3 - 3*j**3. What are the prime factors of u(-4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.87 - 0.03. Let v = g + -0.1. Let h(k) = -k**3 - 9*k**2 + 8*k - 13. Let i be h(-10). Which is the third smallest value? (a) v (b) i (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216 = 9571*t - 9583*t for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6819.9 - -6819.8. Let l be 4\/10 + 627\/(-1680). Which is the closest to g? (a) -3\/7 (b) l (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-12)*-2*2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 837 is divided by 114.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -6*w**2 - 139*w + 140. Determine r(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 146819400, -0.2, 5?\nAnswer: 146819400","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (60\/(-870) - (-126)\/145) + (-276)\/(-30)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 b when four letters picked without replacement from boobobbbboboboob?\nAnswer: 27\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 m, and 1 b when three letters picked without replacement from {s: 5, x: 3, t: 6, m: 1, b: 3}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-3*(sqrt(1900) + -2) + -2)**2.\nAnswer: -240*sqrt(19) + 17117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-15) + (-190)\/25*-1*(-586)\/(-45708)?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**2 - 3*p**4 - 2*p**2 + (2 - 2 + p)*(-2*p**3 + 4*p**3 - p**3) + 3*p**4 - p**4 - p**4 - 2*p**4 + p**4 - 3*p**4.\nAnswer: -5*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/(-7) - (-196)\/343. What is the second derivative of -c + 251*d**5 - 27*d + 5 - 252*d**5 - 8*d**2 wrt d?\nAnswer: -20*d**3 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a891a (base 11) to base 3.\nAnswer: -220101210210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -7*w - 13. Let d be 1252\/w + 1 - 51\/(-119). Let u = 180 - d. Put u, 3, 0.2 in decreasing order.\nAnswer: 3, 0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from apsmabmpt. What is prob of sequence tb?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 251746?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 23 = k, m = -4*k - 94 + 111 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -85\/132 - 1\/44. Which is the nearest to 0.64? (a) 4 (b) 0.4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-10)\/4))\/(6\/9)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28 - (6 + -18 + 22)) + -5 + 72.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -6be9?\nAnswer: 6be4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 52524 (base 7) in base 2?\nAnswer: 11001010011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-5\/2)*m)\/m**(2\/15))\/((m\/(m**(-1)\/m))\/((m\/(m\/(m**(2\/3)*m)))\/m)))**(-2\/129) assuming m is positive.\nAnswer: m**(89\/1935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**3 + 7552*a**2 + 176012*a - 382200.\nAnswer: -4*(a - 1911)*(a - 2)*(a + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 0 - 10 = 0. Let s(g) = 8*g**5 - 6*g**3 + 10*g**2 - 2*g - 10. Let u(i) = -i**5 + i**3 - i**2 + 1. Let v(r) = o*u(r) + s(r). Solve v(x) = 0 for x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49 + 69. Suppose -6*s + s = -3*t - 25, 0 = 2*t - 4*s + m. Solve -y = -t*y + 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + -15 + -4 + 4. Let z = -22 - i. Let h(s) = -s - 11. Let d be h(z). Sort -4, -2, d in increasing order.\nAnswer: d, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 145 - 85. Is z a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -118 and 2\/11 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-one fifths of a kilogram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/15*(-6)\/18?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -371970261 divided by 51857\nAnswer: -7173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9781*g**4 + 17*g - 34 wrt g.\nAnswer: -117372*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -27153 > -27166?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -46595 - -0.1\nAnswer: -46594.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 527.5359ug?\nAnswer: 0.0000000005275359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 848*n - 845. Let v be m(1). Solve 9*w - 4*w = -v*k - 28, 0 = w + 3*k + 8 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 109*p + 21. Let o be k(-5). Let t = o - -749. Is 18 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4166, -15602, -34656, -61334, -95642, -137586?\nAnswer: -187172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 0.1 (c) -0.1 (d) 7 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -5*p**3 - 37*p**2 - 8*p + 45. What is x(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 5*t**3 - 12*t**2 + 66*t - 9. Let b be o(7). What is the third derivative of -131*m**2 - 1579*m**4 - 3*m**5 - 4*m**6 + 3*m**5 + b*m**4 wrt m?\nAnswer: -480*m**3 + 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1\/8, 0, 4, 228?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o - 1. Let x(u) = -5*u**2 - 2*u + 4. Let v(k) = -3*i(k) - x(k). Is v(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202001 - -12012?\nAnswer: 221020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, -0.21728, -0.1 in descending order.\nAnswer: -0.1, -2\/11, -0.21728","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((2\/(-136))\/((-17)\/(-68)))\/(-1))\/(-1)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - d**2 + d + 1. Let m(q) = -14*q**3 - 3*q**2 + 4*q + 4. Suppose -20*n - 6 = -26*n. Calculate n*m(x) - 4*s(x).\nAnswer: -10*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (14*y**2 - y**2 + 6*y**2)*(2*y + 2*y - 2*y) as o*y**2 + g*y + l + q*y**3 and give q.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 4:57 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o + 54. Suppose -28*i - 78 = -22*i. Let s be x(i). Suppose -1291 = -5*f + n, 4*n = -2*f - s + 605. Does 43 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4606 - -4613. Solve -46*t = -39*t - s for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwmwmmmwwmmwwwmmm. Give prob of picking 2 w.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12983395 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/18*(1 - 11). Suppose -2*f = -q*f. Suppose f = -x - 3*x + 108. Does 9 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2 + 13452*a + 11253600.\nAnswer: 4*(a + 1563)*(a + 1800)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 6*b**2 + 10*b - 6. Let n be l(7). Let y = n + 13. Solve -20 = -5*r, y = -m - 3*m + 2*r for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/5)*t*t)**(-21)*t*t**(2\/23)\/t*t*t*t**0*t)**(1\/41) assuming t is positive.\nAnswer: t**(-3509\/4715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/4*40\/(-2). Suppose -3*y = -5*p + 10, -2*p + m*y = -p - 24. Are -3\/49 and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 2*p = -21, -5*u + 2 = p + 14 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 445991.4 litres in millilitres?\nAnswer: 445991400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 22836736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 103 - 101. Suppose -4*r - 1 = u, j*u + 2 = 5*r - 0. What is the smallest common multiple of r + (-27)\/(-1) + (2 - 5) and 40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19 - 19 + 6*l - 175*l**2 - 45*l**2 + 52*l**2 in the form d + r*l**2 + j*l and give r.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5405 times 2775\nAnswer: -14998875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -7*g**4\/12 + 31*g**3\/3 - 21*g**2 + 1. Let n be q(3). Solve -n = -4*o - 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6155, -6325, -6493, -6659, -6823, -6985, -7145?\nAnswer: -7303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i. Let w(j) be the first derivative of -25*j**2\/2 - j + 359. What is z(w(x))?\nAnswer: -25*x - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - 5*b - 6. Let c be n(-1). What is the remainder when (-8540)\/(-105) - (c + 2\/6) is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6240\/(-3276)*7\/(-4)*41\/((-6150)\/280)\nAnswer: -56\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 261*z**3 - 2*z + 0*z - 2*z**3 - 36*z**3.\nAnswer: -299*z**3 - 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -b + 5*v - 1, -b + 4*v + 2 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -8*b + 147. Let h be k(0). Let f = h + -144. Solve 3*p + f = -6 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 65 (base 9) to base 3\nAnswer: 2012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of -1\/90*r**5 + 5\/27*r**3 - 24*r + 2\/3*r**2 - 1\/27*r**4 + 0. Determine s so that y(s) = 0.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, q: 1, l: 4, e: 1, b: 2}. What is prob of sequence qlfb?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kt when two letters picked without replacement from tkstaslf?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -107 + 339212.56.\nAnswer: 339105.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 269281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (52\/(-104))\/((-2)\/4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of 23*l**8\/112 + l**7\/105 - 161*l**5\/20 - 29*l**2 - 2. Find the third derivative of d(v) wrt v.\nAnswer: 4140*v**2 + 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 551916400?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/2)\/((-2)\/4). Let g be -300001 + 7 + -7 + 0. Let i be (g - 0) + (m - 2). What is i rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.4 + 1.432. Let g = r - 0.031. Round g to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 2 = -2*o, o = -p + 65 - 67 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + -49. Let l = s - -55. What is the nearest to l in 0.2, -0.3, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + 2\/2)*0. Let w(i) = v*i**2 + 2*i**2 + i**2. Let y(b) = b**2. Calculate y(w(u)).\nAnswer: 9*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1728*g**2 - 15*g + 1722*g**2 - 5178*g**2 + 1730*g**2 - 61 to the form r + s*g + o*g**2 and give r.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, -1, -1973?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 455074, 455088, 455102, 455116?\nAnswer: 455130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 19*l + 24*l - 6*l**2 - 1 + 2.\nAnswer: -6*l**2 + 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151 = h + u, -3*h + h + 5*u = -316. What is the remainder when h is divided by 48?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -4*s**3 - 6*s**2 - 12*s - 16. Let q be n(-10). Suppose 0*r = 4*g + 4*r - q, 5*r = -g + 872. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 3*n - 2. Let h be p(-4). Let s be (5 + -4)\/((-1)\/(-2)). What is b in 3 + 15*b - 27*b**3 + 19*b**s - 35*b**h + 25*b**2 = 0?\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/4365 - 405952\/30555. Let i = w + 13. Which is smaller: 1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 4*c**2 - 3*c - 5. Let w be i(5). Solve 6 = w*u + 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5357877123 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -95*w**3\/3 + 1422. Let p(q) = 27*q. What is p(v(l))?\nAnswer: -2565*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 34 divided by -10734\nAnswer: -17\/5367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 173*b**2 - 525*b + 18 = 0.\nAnswer: 6\/173, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2213010 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 133794760 and 238?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17\/2 - 87\/10. Let h be ((-1)\/18)\/((-236)\/(-1062)). Put 2\/3, j, -2\/3, h in descending order.\nAnswer: 2\/3, j, h, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + o + 5*r = -5, -2*o = -3*r - 1. Let i(b) = 855*b - 4. Is i(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -626*u**4 - u**3*w + 41853*u**3 + 18*u**2*w - 3*u**2 - 9*u*w + 2*u - 21*w + 464 wrt u?\nAnswer: -15024*u - 6*w + 251118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -37314*q + 2052270. Determine l(55).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -242 = -4*a - 5*d, a + 3*d = -d + 55. Calculate the remainder when a is divided by ((-30)\/(-10))\/((-3)\/(-22)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -28, -56, -96, -154, -236?\n\"Answer: -l**3 - 21*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -239.5668801 rounded to two dps?\nAnswer: -239.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1468 to two decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.267 rounded to 1 decimal place?\nAnswer: 6.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 199407, 199400, 199389, 199374?\nAnswer: 199355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -24.3948416 from 0.5.\nAnswer: 24.8948416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 249 = -5*w, w - 2*w + 2 = 0. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(6*sqrt(95)*-2 + sqrt(95) - (-1*sqrt(95)*-2 - sqrt(95))))\/((sqrt(495)\/(-2*sqrt(11)))\/((sqrt(72) + (sqrt(72)*-1 - sqrt(72)))\/sqrt(8))).\nAnswer: -144*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 77.4, -1\/2, 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 78 = -94. Let y = 241 - a. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1507523?\nAnswer: 73, 107, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 30*z**2. Let m(p) = 8*p + 13 - 13 - 10*p. Calculate m(u(h)).\nAnswer: -60*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 0*i + 17 = 2*z, -1 = -z. Calculate the remainder when 329 is divided by (-422)\/i - (-18)\/(-45).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 78745360 divided by 170\nAnswer: 463208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 84564010?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 - -27. What is the nearest to 0.1 in z, -0.1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2458 + 2464. Which is smaller: -266 or n?\nAnswer: -266","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -133, -265, -397?\nAnswer: -529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 6*v - 2*v)*(5*v**3 + 0*v**3 - 6*v**3) + (-16*v + 13 - 13)*(4 - v - 4)*(26*v**2 - 86*v**2 - 23*v**2)*(3 - 4 + 3).\nAnswer: -2657*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 5 (b) -0.5 (c) -1 (d) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.55 and -16535.\nAnswer: -75234.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -10*m + 186. Suppose 2*j + m = -j. Is 12 a factor of 104*((-60)\/8)\/j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38221 + -26357. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.3589, -31 in descending order.\nAnswer: 3, -0.3589, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {z: 4, h: 9, x: 3}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 2*b - 5 + 5 + 7.\nAnswer: 2*b + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 104 and 676.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2140 - -6889. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 7. Suppose -5*k = 77 - 2. Let m = f - k. Calculate the remainder when 23 is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 247457393 to the nearest integer?\nAnswer: 15731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 45789 and 6.\nAnswer: 45795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - m + 3. Let k(c) = 4*c**3 - 2*c + 7. Let v(z) = 3*k(z) - 7*w(z). What is v(2)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ouuu when four letters picked without replacement from {o: 5, u: 3}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 0. Let a = b + 5. What is the derivative of -1 + 3*k**3 + a*k - 4*k wrt k?\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*x**2 - 24*x**3 + 23*x**2 + 13*x**3 + 22*x**2 - 77*x**2.\nAnswer: -11*x**3 - 6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 145 - 144.86. Sort o, 2, 0, 3 in decreasing order.\nAnswer: 3, 2, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/20 + (-1516)\/(-20). Suppose 58 = 2*h - c. List the prime factors of h.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 508 a factor of 1908520969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -503, 1472.\nAnswer: -503, -1, 1472","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 176 divide 2809069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -62b + 24659?\nAnswer: 2402a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that g**4\/5 + 284*g**3\/5 + 20446*g**2\/5 + 40044*g\/5 + 19881\/5 = 0.\nAnswer: -141, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191*f + 260 + 461 = -234. Solve -v - 3*v + 4*x = 20, 0 = -2*v + f*x - 19 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 3*p**3 + 4*p - 4*p - 2*p**3 to x*p**3 + k + z*p**2 + j*p and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 162.8694 - -0.4.\nAnswer: 163.2694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k - 4. Let j(g) = -3*g - 9. Let z(l) = -l**2 - 27*l + 331. Let c be z(9). Let a(h) = c*y(h) - 3*j(h). Calculate a(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4*1 - (-4 - -3)\/(-1). Let w = 24 + -13. Solve -h*i = -0*i + q + w, i = -3*q + 7 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*n - 2 + 0 = 0, 0 = -d + 5*n + 1. Let r(a) = -a**2 + 1. Let g(q) = -q**2 - 10*q + 7. Let v(p) = d*g(p) - 2*r(p). Determine v(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -228 and 2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -2.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 4*w**2 - 6*w - 5. Let s be f(-5). Suppose 47*p + 15*p + 186 = 0. Which is the nearest to s? (a) 0.04 (b) p (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, o: 2, z: 4, s: 1, r: 2}. Give prob of sequence os.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(100\/(-6)))\/(12\/10)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1994817 is divided by 173?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -1045*r - 1800. Is 70 a factor of w(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18982 - -18976. Let l(g) = g**2 + 8*g + 5. Give l(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (2 + 341\/(-176))*-18 and -2*(1 + 1) + (-1393)\/(-448)?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (9 + 8 - 15)\/(-2 + 7990\/3994)?\nAnswer: 2, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -1\/5, -0.1, 1, -1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -828.42 rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -14 + 4, -3*t = -3*k - 57. Which is bigger: -23 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -163, -2, -175, 2, 4, 5 in decreasing order.\nAnswer: 5, 4, 2, -2, -163, -175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + b + 21 = 0, 0*r + 31 = -2*r + 5*b. Let z(x) = x**2 - 4*x - 3. Is z(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*c**4 - 408*c**3 + 6756*c**2 + 212048*c - 686256 = 0. Calculate c.\nAnswer: -17, 3, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7507683 to the nearest integer?\nAnswer: 2740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 195045411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 243.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9379895 + 1?\nAnswer: 9379896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Solve 8417*b = 8399*b - 198 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 251260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 + 1. Let n be b(0). Let q be 8 + -4 - (n - -1). Suppose -2*c = -a + 250, -3*c = -3*a + q*c + 748. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 16*c**2 + 29*c + 27. Let m be -9 + (-9)\/(45\/20). List the prime factors of w(m).\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a microsecond in nanoseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5809 is divided by 1180?\nAnswer: 1089","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -56 - -58. Suppose 6*t - 2 = -l + 5*t, -l = -c*t + 1. Solve 4*n + 0*n - 4 = -5*x, -x + n = l for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 + 24 - 28864*p**3 + 30391*p**3.\nAnswer: 1527*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 AM and 6:27 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gnnjjjnjjnj. Give prob of sequence jn.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**2 + t**2 - 4*t**2 + (-1 + 1 - t)*(-2*t + 2*t - t) - 4*t**2 + 2*t**2 + 4*t**2 + (-4 + 0 + 3)*(0*t - 2*t**2 + 0*t) + 169*t - 169*t + 17*t**2.\nAnswer: 20*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**23)**19*((q\/q**(-1\/23))\/q)**12 assuming q is positive.\nAnswer: q**(10063\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2189*l**3 - 649*l**2 - 176*l + 176. Let o(t) = 37*t**3 - 11*t**2 - 3*t + 3. Determine 3*b(z) - 176*o(z).\nAnswer: 55*z**3 - 11*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 345622368 divided by 514319?\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/17 (b) 9 (c) 1294 (d) 1\/13 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25062 and 6?\nAnswer: 25062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4598 = -21*s - 17*s. What is the greatest common factor of 1694 and s?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 59 = u - 24, -20 = 4*s. Suppose 88 = -3*l + u. Let t be (-5)\/10 + (l\/(-2) - -3). Solve t = -5*r + 6 + 4, 0 = -3*f + 5*r - 25 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10166 divided by 391?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide (8\/(-24) + (-6)\/(-9))*(63 - -17898)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyd when four letters picked without replacement from {d: 9, y: 10}?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*y - 2 + 2)*(-11 + 1 - 8)*(5*y**2 - 3*y**2 - 8*y**2) to i*y**3 + p*y**2 + f*y + c and give i.\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 13) in base 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161 + 177 = 18*c - 14*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/467442 and -23\/623256.\nAnswer: 1869768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2*i**4\/15 - 177232*i**3\/15 - 708874*i**2\/15 + 1949452*i\/15 - 354448\/5 = 0.\nAnswer: -88612, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -547969, -2191208, -4929949, -8764198, -13693961, -19719244, -26840053?\nAnswer: -35056394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one sixths of a day in hours?\nAnswer: 124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 12 = -5*v, 8 = 3*v - 0*k - 2*k for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 40 and -2319.\nAnswer: -92760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1705693 and 64757.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 rounded to zero dps?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2, 2, 10, 32, 74, 142?\n\"Answer: a**3 - 2*a**2 - a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 109751480 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 1.257.\nAnswer: 0.5028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 674*r - 8536 - 15728 = 0 for r.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/16*(20\/520*26)\/(1\/59).\nAnswer: 59\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2*b - 4 = 2, b - 10 = -5*a. Let l = -2 - a. Let x(g) = -g + 13. List the prime factors of x(l).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h**4 - h**4 - 4*h**4 + (19*h**2 - 2*h**3 - 19*h**2)*(h - 3*h + 4*h) + (2*h**3 - 4*h**3 - h**3)*(1 + 2*h - 1) + 2*h**4 - 2*h**4 - 5*h**4.\nAnswer: -17*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 31112?\nAnswer: 31104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -189, -343, -501, -663, -829, -999, -1173?\nAnswer: -1351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7522*a*t**4 + 5132*a wrt t?\nAnswer: -30088*a*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 320 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-1) - (-2)\/(-2). Let -6*i**5 + g*i**4 + 9*i**5 - 5*i**5 = 0. What is i?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (480\/(-30))\/((-1)\/1*1). Let f(a) = 3 - 4*a - 7 + 0*a. Let t be f(-5). Is t smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + 61 + -3 - -2. Suppose 54 = 3*g - h. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 207589620 divided by -5714.\nAnswer: -36330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4799\/7023 + -39\/2341. Determine u, given that m*u**2 - 5*u + 7\/3 = 0.\nAnswer: 1\/2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s - 2. Let g be d(4). Let m = g + -10. Suppose 3*o - 6 = m, -z = -5*z + 5*o + 54. Is z a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 9*v + 56 = 0, -102*v - 48 = -4*y - 106*v for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 w when four letters picked without replacement from {e: 3, t: 4, w: 4}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 2:51 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -20. Let d(c) = 11*c**2 - 25*c + 3. Let l(z) = -4*z**2 + 8*z - 1. Let o(q) = -3*d(q) - 8*l(q). Give o(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, i: 4, x: 1, e: 2}. Give prob of picking 1 x and 2 e.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.203618 years in months?\nAnswer: 2.443416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 - 2 - 53 - -22?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1.282*173\nAnswer: -221.786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 166, -1\/2, -383?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 1 + 1)*(7*u + 5*u - 3*u)*(-13*u - 9*u**2 + 13*u) + 3*u**2 - 2*u**4 - 3*u**2.\nAnswer: -83*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9733844251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 80 = -5*x, 2*x + 11 + 69 = -6*y for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f - 9. Let l be t(6). Let h(k) = 2*k - 5. Let y be h(l). What is the remainder when 134 is divided by (-96)\/((-3)\/y) + 3 + -1?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132*u + 40*u**2 - 132*u - 26*u**2 - 15*u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 441 + 1?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4 = -y - 3, 3*d + 4*y = 0. Let k be 6\/d - 2\/1. Suppose 0 = -2*x + 6, 0*x - 17 = -4*i + x. What is the third biggest value in -2\/5, i, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (238\/(-168))\/(-17)*16\/(-6)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*b - 3*d - 27 = -126*b, -3*b + 4*d = -24. Suppose 2*l + 16 = 3*k, 5*l = -3*k - 2*k + 35. Calculate the greatest common divisor of k and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 + 6*w**2 + 3. Let h be z(-4). Let n = h + -32. Differentiate 0*s - 8 - 7*s**n + 0*s wrt s.\nAnswer: -21*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 12515, -6.\nAnswer: -6, -2, 12515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/2 and 7\/114495.\nAnswer: 228990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 47113 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 17610 divided by -5?\nAnswer: -3522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -8. Suppose -2*y - 60 = -b*y. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13 + -1f1?\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -166*t + 170*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -509471547\/7?\nAnswer: -509471547\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*z - 35*z + 30. What is the highest common divisor of z and 75?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48654 and 632502.\nAnswer: 632502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 290282 to the nearest integer?\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 10*v - 11*v. Suppose 3*h - 15 = -3*b - 0*b, -v*b + 22 = 2*h. What is the lowest common multiple of b and 27?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32 and 152.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 13 + 2 + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.87 + -1.17. Let b = -15.02 + 20.02. What is the third smallest value in b, 3, w, -2\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 195 in 7.5, -0.3, -3, 2\/5?\nAnswer: 7.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 38? (a) 0.4 (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 0 + 3, 3*i - 5*v = 9. Let h be i*(-3 - 14\/(-4)). Let l(k) = k**2 - k. What is l(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 5*s - 15 = 0, -4*l + 0*s + 5*s + 20 = 0. Suppose -3*f = 2*x - 7, -l*x + f + 2 = -7. Solve 5 - x = -d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -111903 and 309.502363.\nAnswer: -111593.497637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 3482654 = -0.57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -42017489374315 minus -0.03?\nAnswer: -42017489374314.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 694841.\nAnswer: 7, 17, 5839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**3 + 6*o**3 + o**3 - 3*o**3 - 2*o**3.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -21 + 453. Suppose x + 144 = 3*n. Is 29 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/5185 and -11445 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 185 in 4, -1\/4, 4\/31, 0.4, 0.6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 602 = 346. Let g = h - 242. Put -2, g, 12, -3 in descending order.\nAnswer: 12, -2, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2535 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of 16 + 2*r**2 - 1\/3*r**3 + 5*r. Factor q(d).\nAnswer: -(d - 5)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 10*n**2 + 8*n - 9. Let p be r(-9). Let i be (172\/(-8))\/((-2)\/(p - 4)). Let u = 62 - i. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2*j = 1486, 3*j + 2*j = -l + 767. What is the hundreds digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272 is divided by 271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -8, 2\/7, 0.06, -97?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -337*d**3 - 10*d**2 - 36*d - 12. Let h(r) = -338*r**3 - 11*r**2 - 42*r - 14. Determine 6*h(t) - 7*j(t).\nAnswer: 331*t**3 + 4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208 is divided by 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 22633701469 + 216\nAnswer: 22633701685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.9083596 months in centuries?\nAnswer: 0.002423633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -509 + 542. Which is bigger: -8 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 + 2)*(4*r**2 - 5*r + 706 - 706).\nAnswer: 20*r**2 - 25*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 141824916 and 373420?\nAnswer: 709124580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.63*-16.722.\nAnswer: -10.53486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4de + 69c6?\nAnswer: 64d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 1. Let a(l) = 5*l + 3. Suppose -3*f = -1 - 23. Let c be 1\/(10\/f*24\/(-60)). Give c*a(u) + 6*q(u).\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 2) + -42 + 43 - -15.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 444 - 130. Suppose 3*s - r + 2 = 0. Suppose -88 - s = -3*c. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 6. Suppose 5*m = -4*l - 28, -5*m + z*m - l - 37 = 0. What is the units digit of (1 - (-4 - m)) + 55?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -112*g + 20*g + 93*g. Let o(x) = -2*x - 3. Determine p(o(j)).\nAnswer: -2*j - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**3 - 4*j**3 + 0*j**3)*(0*j**2 - j**2 + 0*j**2) + (17*j - 5*j - 15*j)*(-j + 3*j - j)*(-4*j**2 - 7*j**3 + 4*j**2).\nAnswer: 22*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b**2 - 2. Let j(m) = -3495*m + 1. Determine s(j(g)).\nAnswer: -24430050*g**2 + 13980*g - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.56614828 rounded to 4 dps?\nAnswer: 0.5661","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00165634 to 5 dps.\nAnswer: 0.00166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*f + 78 = 25*f. Let v = 22 + f. Suppose p = 4*d - 474, 3*d - v = p + 308. What are the prime factors of d?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -101*y + 24*y - 2242 + 471 for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 w, and 1 l when three letters picked without replacement from {d: 11, l: 3, x: 1, w: 5}.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -143 (c) 285 (d) -6 (e) -1 (f) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**3 + w**4 + 0*w**3 + w**3 + 0 + 1 + w in the form d*w + u*w**4 + z*w**2 + c*w**3 + p and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fmzqjqmz. What is prob of sequence qm?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*q**3 + 0*q**3 - 3*q**3)*(4 - 4 - 1) + 2*q**3 + 3*q - 3*q)*(0*q**2 + q**2 + 2*q**2) + (0 + 5 - 3)*(0*q**5 - 2*q**5 + 4*q**5).\nAnswer: 19*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13427 is divided by 2139.\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 38514842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3328.3 + 3328. Sort j, 4, -3, -2\/9.\nAnswer: -3, j, -2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 237006?\nAnswer: 2, 3, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2953?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.644202 millilitres to litres.\nAnswer: 0.007644202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1580218 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q**2 + 12\/5*q**4 + 3\/5*q**3 + 0 + 0*q + 9\/5*q**5 = 0.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 64*m - 68*m - 42 = 0, 0 = 3*j - 4*m - 45. Suppose 21\/2*o**2 - 6*o**j - 6 + 6*o - 9\/2*o**4 = 0. What is o?\nAnswer: -2, -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 181193120 divided by -2.\nAnswer: -90596560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -41443 rounded to the nearest 100?\nAnswer: -41400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-365)\/1095)\/(3\/207)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 + 20 - 11)*(2 - 3 + 2)*(-2 - 2*m + 2).\nAnswer: -60*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*b = 23*b - 4. Does 25 divide 2*(-1)\/b*(10 + -152)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13487, 27243, 40999, 54755, 68511, 82267?\nAnswer: 96023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(110) + sqrt(110) + (sqrt(110) + 1*sqrt(110) + sqrt(110) - sqrt(110)) + sqrt(110) + sqrt(110))*5)\/((sqrt(90)*1)\/sqrt(9)))**2.\nAnswer: 9900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 3 = -5*b, b + 4 = -2*b - 4*z. Let j(y) = y + 8. Let w be j(-6). Let d be (-2 + w - 1)*-7. Solve -4*x = -5*a + 17, b = -a - 3*x + 2*x + d for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7, 8, 77, 236, 521, 968, 1613, 2492?\n\"Answer: 6*k**3 - 9*k**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 5*r - 0*b - 609, -5*r = 2*b - 601. Round r to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 a, and 1 f when three letters picked without replacement from mayytwf?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -49, -0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - 65*j + 108. Give g(64).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -11*z - 125. Let d be t(-11). Let m(k) = -4*k - 4. Let n(x) = x - 1. Give d*n(l) + m(l).\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 118197130 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10 + 16 + 1)*(3 - 3 - d)*(3*d**3 + 12*d**2 - 6*d**2 + 0*d**3) to the form i + m*d**2 + s*d + f*d**4 + w*d**3 and give w.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1420?\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -3*(sqrt(13) + -1 + -2*sqrt(13)) + 0 + sqrt(5200)*2*4)*-5.\nAnswer: -815*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(77) + 4*(sqrt(77) + sqrt(77) + -2*sqrt(77) + sqrt(77)))*-4)\/(sqrt(66)\/sqrt(24) - (sqrt(396) - -1*sqrt(396))).\nAnswer: -3 + 40*sqrt(7)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 68923991 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -101013, -101073, -101131, -101187, -101241, -101293, -101343?\nAnswer: -101391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 3*k - 7, 3*m - 3 = 2*m + k. Let d be 0 - (-7)\/(7\/m). Calculate the greatest common factor of d and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 303073?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 689 + 182 + 17*a - 29*a - 9*a**2 - 93*a wrt a.\nAnswer: -18*a - 105","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*n = 140*n + 10, -5*r = 3*n - 25 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2 + 939*c.\nAnswer: 3*c*(c + 313)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - -5. Let z be (-2 + (-22)\/(-4))\/((-7)\/(-56)). Suppose -z = -3*o - 13. Calculate the lowest common multiple of o and v.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 246 and 167280.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.05 (b) -3 (c) 1\/4 (d) -112 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-seven halves of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1276 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 3113.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 1:38 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12865*q**3 + 2*q + 2302739 - 2302739.\nAnswer: -12865*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -864952690 and 0.1.\nAnswer: -864952689.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -407866\nAnswer: 40786.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - (4 - 6)) + 4 + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*c = -4*o - 66, -2*c = -3*o + 17 - 10 - 12 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -53*6*(-65)\/39?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49.1 - 0.49672?\nAnswer: -49.59672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -36321 + -2?\nAnswer: -36323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = z - 8943, z - d - 8935 = -4*d. What is the thousands digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 26*z**2. Let d(c) = 7*c - 4. Let x(b) = 216*b - 126. Let o(i) = 63*d(i) - 2*x(i). Calculate o(h(f)).\nAnswer: 234*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8381\/9 + 931. Let n = -0.6 - -1. What is the third smallest value in y, 1, 4\/3, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1314 and 0.011.\nAnswer: -14.454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -122442 + -10?\nAnswer: -122452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d - 2. Let m be p(2). Suppose m*v = -0*v + 28. Calculate the least common multiple of 12 and v.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000019134 rounded to six dps?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44769093?\nAnswer: 3, 461, 32371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2124274, 2124270, 2124266, 2124262, 2124258, 2124254?\n\"Answer: -4*p + 2124278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -1 (b) -1\/4 (c) 1\/5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4884 - 0?\nAnswer: 4884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1090 - -1089. Let o = 13\/28 - 5\/7. Sort k, 5, o.\nAnswer: k, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 27*h**2 + 2*h. Let b be s(2). Suppose -61*x + 60*x = 3*t - 23, 5*t = 15. What is the highest common factor of b and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2\/9 (b) 2 (c) 0.4 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 590368657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8 + -8650?\nAnswer: -8642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-28)\/6*(0 - 3). What is the remainder when 175\/d + 3\/(-2) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 727085\/92 - 7903. Which is smaller: d or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -x**4\/4 + x**3\/3 - 4*x - 1. Let y = -19 - -22. Let a(k) = -k**3 + 2*k**2 - 5. Let l(i) = y*b(i) - 2*a(i). What is l(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tovffovvfffftfttvov. What is prob of sequence ftfo?\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 1 = -22. Suppose -n*b = -9 - 75. Calculate the greatest common divisor of 132 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -65 + 129 - 5*r - 64. Let f(n) = 4*n. Give p(f(v)).\nAnswer: -20*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12012526.\nAnswer: 2, 643, 9341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91408, -91607, -91816, -92041, -92288, -92563, -92872, -93221?\nAnswer: -93616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gyzczyzzzztycygzqyy. Give prob of sequence ty.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 28\/15, -3\/2, 0.05216?\nAnswer: 0.05216","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 176?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7.58436km?\nAnswer: 7584360000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 132890 = -5*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12121149 - -3?\nAnswer: 12121152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*s + 46942 = 47932 for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (9 - 13 - 8) + (6 - 0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (17 + -23 + -25)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6469110 is divided by 266?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -9*t**3 - 3*t - 2. Let u(m) = 9*m**3 + 2*m + 3. Let k(j) = 2*l(j) + 3*u(j). What is the derivative of k(w) wrt w?\nAnswer: 27*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25394?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 158813868 to the power of 1\/3, to the nearest integer?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 0, 94, -48 in descending order.\nAnswer: 94, 5, 0, -5, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -3. Let n(a) = 3*a**2 + 18*a. Let q(s) = -5*s - 13012 + 25889 + 6*s - 12877. Determine o*n(i) + 18*q(i).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 * -42477941\nAnswer: -1699117.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 529.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/(z*z*z\/z**(-3))*z)\/(z\/((z*(z**(2\/19)\/z)\/z)\/z)*z)*z\/((z\/z**(3\/4))\/z)*z**(-1\/11)\/z)**(-26\/9) assuming z is positive.\nAnswer: z**(67769\/3762)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/9 (b) 1\/6 (c) -4.9816 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((600\/20)\/30)\/(407\/(-44))?\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 124, 280, 498?\nAnswer: 778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 5*c - 1, t - 4*t = -c - 25. Let y(s) = -23*s + 3. Let l be y(0). Solve -3*p = l - t for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p + 2. Let i(o) = -13*o**2 + 12*o + 12. What is 8*d(b) - i(b)?\nAnswer: 13*b**2 - 4*b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1291*c + 1940 wrt c?\nAnswer: -1291","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*k + 25830 = 3*k. Calculate the highest common divisor of 3045 and k.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*r + 2*r**2 + 4 + 3*r + 11*r - 25*r.\nAnswer: 2*r**2 - 2*r + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pzynhhx. What is prob of picking 1 y, 1 z, 1 x, and 1 n?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -491 and -0.6.\nAnswer: -491.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 728*n**4 + 823*n**3 + 125185*n**2 + 4*n?\nAnswer: 17472*n + 4938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 38901?\nAnswer: 194505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 93, 4\/5, 1476.\nAnswer: 4\/5, 93, 1476","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 11) to base 2.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 25, 0*n - 2*g = n - 15. Suppose 4*q - 3*s - 14 = -s, -3*q + 14 = -n*s. Is (-184)\/(-5) - q\/(-15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 3*w - 10. Let m(l) = l**2 + 4*l - 11. Let f(p) = 6*a(p) - 5*m(p). Let u(b) = -b**2 - 2*b + 4. Let v be u(-4). Is f(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, z: 1, g: 1, u: 2}. What is prob of picking 1 k and 2 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 6*j**2 - j - 2. Let d be k(6). Calculate the remainder when 126\/4 + (-4)\/d is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + 35 - -41 - 19 - 13.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/6*(-3)\/4.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 29 = -0*g - 3*w, 2*g - 39 = 5*w. Let z(y) = 4*y - 14. Is 10 a factor of z(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/6 + 1077*y.\nAnswer: y*(y + 6462)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 201111133001 (base 4) to base 16\nAnswer: 8557c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 8*g + 18. Let h be i(-7). Let p(t) = t**3 - t - 9*t**2 - 4 + 11*t + t**2. Is p(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-102)\/27 + 4 - 64\/126\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k + 4 = 19*k. Put k, 0, 2 in increasing order.\nAnswer: 0, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -13. Solve -2*i - 13 = -m*w, i + 3*w + 7 = -i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*a**6*l - 2*a**6 + 10*a**3 + 4*a**2*l + 2*a*l - 5 wrt a.\nAnswer: 360*a**3*l - 240*a**3 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**4 - f**2 + f**2)*(85 - 4690*f + 9387*f - 4689*f + (-1 - 4 + 3)*(f + f - 4*f)).\nAnswer: -24*f**5 - 170*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 6, s: 7}. Give prob of picking 3 d and 1 s.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (5*(-1*sqrt(26) + sqrt(26) + sqrt(26))*-3)\/(sqrt(4)\/(5*sqrt(10)\/sqrt(5))))**2.\nAnswer: -150*sqrt(13) + 73126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -81 - -87. Suppose -f + 55 = -u*f. Is -1\/4 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 + -44379436622?\nAnswer: -44379436621.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -117 - -120. Let x = 35 + j. Is 38 greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11838*h**3 + 15058*h**2?\nAnswer: -71028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/18 and (-3)\/9*(-116)\/(-12)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25444 (base 6) to base 2\nAnswer: 111100000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of j**5\/50 + j**4\/10 - j**3\/15 - 3*j**2\/5 - 44*j. Factor s(x).\nAnswer: 2*(x - 1)*(x + 1)*(x + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*j + r + r, j = 4*r + 16. Suppose -j*n + 2*n = -4. Suppose -3*k = n*k - 25. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*w = 70. Let j = 17 + w. Let a(g) = 3*g**2 - 4*g + 4. Let l be a(j). Calculate the highest common factor of l and 152.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3 + (-2*-4*(sqrt(243) + (-2*sqrt(243) + sqrt(243))**2)*4 + 4)*1.\nAnswer: 288*sqrt(3) + 7778","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-551)\/(-76) - 7)*56?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 626 a factor of 3516352176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/2))**(1\/25))**(-30) assuming k is positive.\nAnswer: k**(3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 11*(-14765)\/13710 + 0. Let y = 6\/457 + z. Find the common denominator of -167\/30 and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2\/3 (b) 0.5 (c) 7\/2 (d) -4\/3 (e) 34 (f) 44\/57\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 bigger than -1488581?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 18, 37, 56, 75?\n\"Answer: 19*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-4 - (-2 + 2 + -10))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -13*q**4\/12 + q**3\/2 + q**2\/2 + q - 22. What is the second derivative of s(l) wrt l?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 42*n - 1410. What is c(34)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 123.5, 1\/2, 8, -2, -0.3, 0.2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 3.3, 0.064, 2, 0.15 in ascending order.\nAnswer: 0, 0.064, 0.15, 2, 3.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**4 + 372*p**3 + 765*p**2 - 1134*p.\nAnswer: -3*p*(p - 126)*(p - 1)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.34771 times -0.41?\nAnswer: 0.1425611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 187*v**2 - 7028*v + 865. Determine f(135).\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -83\/72 + 29\/18. Let p(s) be the third derivative of 0 + 15*s**2 + 0*s**3 + 0*s + 4\/15*s**5 - f*s**4. What is the second derivative of p(q) wrt q?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15495*s*y**4 - 22*s*y**2 - 4304098*s*y + 37*y**2 + 18*y wrt y?\nAnswer: -185940*s*y**2 - 44*s + 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 1507*o**2. Let b(l) be the first derivative of l**2\/2 + 813. Give h(b(p)).\nAnswer: 1507*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 72014746?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9100 - 34759*z + 9100.\nAnswer: -34759*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 136\/20 - 3\/(-15). Suppose 5*w + 4*g = 21, -2*w - 22 = -m*w - 3*g. Find the first derivative of -1 + w + p**4 - 7 + 6 wrt p.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -155336 - -31?\nAnswer: -155305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 1430 = 5*f, -2*q = q - 15. Which is smaller: f or 2000\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -10, -3, -4, 0.2?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.077 + 1.577. Which is the third smallest value? (a) k (b) -1 (c) 1\/10 (d) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -217.8289 times 5\nAnswer: -1089.1445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (8 - (-6 - -12) - -4) + -9\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 352 and 4004.\nAnswer: 32032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -10*z**2 - 55*z + 86*z**3 - 85*z**3 + 66*z + 4. Let w(q) = q**2 + 9*q - 81. Let o be w(-15). Calculate x(o).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmkkkmkmkmkmkmmkmkm. Give prob of picking 4 m.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16885*b**3*c**2 + 42*b**3 + 426*b**2*c - 9*b**2 + 14*c**2 - 3*c wrt b?\nAnswer: -101310*c**2 + 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12.000009 - 12. What is c rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d - 2 + 2)*(81 - 35 - 25)*(-2 + 11 - 21)*(30 + 11 - 8) to the form i + s*d and give s.\nAnswer: 8316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 393977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 183.737 to the nearest 10.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 2*d + 15. Sort 4, 0, d in increasing order.\nAnswer: d, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 9. Let q be 4\/(-5)*(h - 4). Suppose -c - 450 = -3*s, c = -q*s - 0*c + 593. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f**2 - 17*f + 23. What is p(-10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 - ((28 - 25) + (-2 - -11)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 3*k - 11, 0*k = 5*v + 2*k - 22. What is the third derivative of f**4 + 2*f**2 + 2*f**v - 2*f**2 - 5*f**2 wrt f?\nAnswer: 72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence geue when four letters picked without replacement from uueggeggguuxuugxjugg.\nAnswer: 14\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -4*k - 3775, 5*k - 5086 = -4*j - 2066. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 570663a?\nAnswer: 5706640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -5*u**2 - 1133895*u + 32887160 = 0.\nAnswer: -226808, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -3*a + h + 32, 4*a + h = 30. Let u be a - ((0 - -2) + 0). Suppose 4*x - u = 26. Is x a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001 (base 4) in base 5?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 12:07 PM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -615 + 1227. Is 34 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.405562 times -10?\nAnswer: -24.05562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 + 2 = -29*b + 24 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.2952cm in meters?\nAnswer: 0.372952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -9. Suppose y*p - 24 - 32 = 0. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*g + 30 = 16*g + 4*c, -20*c - 16*c = g + 53 - 158 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 69*y + 6 - 6.\nAnswer: 69*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/85649 or -669?\nAnswer: 1\/85649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17\/87, 1101, 1.\nAnswer: -17\/87, 1, 1101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28 + 58. Calculate the remainder when 109 is divided by n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 7*i - 526 = -4*i, -i - 131 = -j. What is the highest common factor of 7 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 3553925.\nAnswer: -10661775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 18383204.9 rounded to the nearest one hundred thousand?\nAnswer: 18400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25036689 by 8345563.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1009 is divided by 85?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2930*0.1082\nAnswer: -317.026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 3:39 AM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -203105?\nAnswer: 203102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -502884*i + 500677*i - 304566 = 0 for i.\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3c9296c + b?\nAnswer: -3c92961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-326)\/4*((16 - 88) + 10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/105908 and -7\/16.\nAnswer: 423632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a centimeter in micrometers?\nAnswer: 67500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x**3 + 340*x**2 + 1793792*x - 517091328 = 0. What is x?\nAnswer: -747, 416","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 122 + -90. Does 13 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-117 - -62 - -38) + 20.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*335\nAnswer: -100.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-85)\/(-220) - (-2)\/(-8). Let j = -223 + 146. Let g = -541\/7 - j. Are r and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 6 = 21*h - 18*h, -2*y - 4 = 2*h for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - o + 9 - 12, -5*x - 12 = 4*o. Solve 0 = 3*a + 3*m + 4 - 19, 2*m - 6 = x for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -63.91 - -517.61. Let y = -454 + u. Which is the closest to -21? (a) -2\/13 (b) -4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 941710 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 7*b**2 - 5*b + 5. Let y(z) = 3*z**2 - 2*z + 2. Let j(f) = -6*x(f) + 15*y(f). Let k(a) = -6*a**2 - 3. What is k(j(i))?\nAnswer: -54*i**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -20. Suppose 0 = -5*a - 5*y + 245, 4*a = 2*y + y + 210. Calculate the remainder when a is divided by b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -0.4 (b) 0 (c) -3 (d) -0.1391 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13 and 5?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 6*b = 1775. Let n be 5562\/24 - (-6)\/(-8). Let z = b + n. Round z to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, 2, -24?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 169934288?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 3*c**2 - 750924*c + 750921 = 0.\nAnswer: 1, 250307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1532 + 1532. Solve 7*z - 4 - 24 = r for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35945.\nAnswer: 5, 7, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -0.1, 3\/11, -10, -1 in descending order.\nAnswer: 3\/11, 0.2, -0.1, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n. Let f(w) = 650*w - 78. Let h(v) = 42*v - 5. Let k(d) = 5*f(d) - 78*h(d). What is k(g(c))?\nAnswer: -78*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-5) - (-12)\/(-5). Suppose 4*f + 30 = 3*n, -109*f + 5*n - 45 = -104*f. Which is the closest to -1\/10? (a) m (b) f (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -150, -718, -1568, -2706, -4138, -5870?\nAnswer: -7908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/2)\/(2\/(-44)). Suppose 105 - z = -4*y. What is the units digit of ((-2)\/(-3))\/((-4)\/y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -15 - c8?\nAnswer: -dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 14*k**2. Let p(u) = 10*u**2. Give w(p(v)).\nAnswer: 1400*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 6.5 (c) 1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*t - 87 + 7 = 0. Let n(r) = -118*r**2 + 59*r**2 + 57*r**t + 4*r. Let x(j) = -3*j**2 + 7*j - 1. Calculate 5*n(g) - 3*x(g).\nAnswer: -g**2 - g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 + 14*u - 10. Let l(t) = 6*t + 13. Let h be l(0). Let i be n(h). Solve 0*c = -4*f - 3*c - 28, 5*f + 8 = i*c for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and 0.06380466.\nAnswer: -0.38282796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 77*z + 0 - 131\/3*z**2 - 1\/3*z**4 + 7*z**3.\nAnswer: -z*(z - 11)*(z - 7)*(z - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (4 - (-72)\/(-16))\/((-1)\/19) and -3\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(405) + 0 + 5 + (sqrt(405) + ((sqrt(405)*-2 - sqrt(405))*-5 - sqrt(405) - sqrt(405)))**2 - (sqrt(20)\/sqrt(4) + -5 - (1*sqrt(125) - sqrt(125))).\nAnswer: 8*sqrt(5) + 79390","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -239726752, -239726760, -239726780, -239726818, -239726880, -239726972, -239727100, -239727270?\n\"Answer: -v**3 - v - 239726750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -5\/2 (b) -1 (c) 5 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 127922 = 5*j, j + 3369 - 28961 = -7*q. List the prime factors of j.\nAnswer: 5, 7, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -346 = -87*d + 351*d + 82*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9684480*k**2 + 55*k - 1569018550 with respect to k.\nAnswer: 19368960*k + 55","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -503 + 503 - 4*p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 404927 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12224 + 77621. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y - 47. Let r(v) = 17*v - 236. What is -11*k(p) + 2*r(p)?\nAnswer: p + 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -18, -3, -1?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2 - 528070*o - 13942896245.\nAnswer: -5*(o + 52807)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 + -16. Solve -p*w = 4*x + x - 23, 0 = -4*x + w + 21 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -8*(0 - (-33)\/6). Let f = r - -44. Which is the nearest to -7? (a) -1 (b) f (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -68*g**2 - 500 + 499 + 10*g - 10*g + 19*g**5 - 59*g**5 wrt g.\nAnswer: -2400*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60) + sqrt(240))\/sqrt(5) - (sqrt(12) - sqrt(72)\/(sqrt(24)\/sqrt(4))))\/(((sqrt(120) - sqrt(120)*2)\/sqrt(10))\/(2*sqrt(27) - sqrt(27))).\nAnswer: -9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.5 + 1.34. Let t = x - -0.26. What is the nearest to -1 in t, -5\/2, 0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a centimeter in micrometers?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -612196, -1224386, -1836578, -2448772?\n\"Answer: -q**2 - 612187*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 7*i - 3. Let m(a) = -6*a + 2. Suppose 4*d + 0*b = 4*b - 8, 2*d - 3*b = 0. What is d*m(n) - 5*w(n)?\nAnswer: n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, 2\/17, 186\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.56, 5, -4\/5, 4?\nAnswer: -0.56","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29974 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 32011463 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 50, 4, 2\/7.\nAnswer: -0.1, 2\/7, 4, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 4 = -4*h, -5*h = 4*q - 6*h - 11. Let d = 12 + -6. Let i(a) = -a**3 + 7*a**2 - 5*a + 3. Calculate the least common multiple of q and i(d).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000008052 rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 s when four letters picked without replacement from sasssaaaaa.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 + -27. Let q = 9 + k. Let j = 91 + -636\/7. Does j = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of r**4\/3 + 2*r**3\/3 + 3*r**2\/2 + 321*r. Suppose -h - 4*h - c + 20 = 0, 16 = 4*h + 2*c. Does 18 divide w(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15105507 to the nearest integer?\nAnswer: 3887","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, y: 4}. What is prob of picking 2 i?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 4277*-8*5\/(-40)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33548\/127, 0.1, 4, 2\/9.\nAnswer: 0.1, 2\/9, 4, 33548\/127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 62827*n**4 + 10597?\nAnswer: 251308*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -274.6 times 149?\nAnswer: -40915.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2482 and 18980.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -8553, -8549, -8533, -8499, -8441, -8353?\n\"Answer: h**3 - 3*h - 8551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 10, -v + 1 = 3*r - 0*v. What is the closest to r in 0.5, -5, -2\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-3))\/((-22)\/8 - -3). Put -2, 1, k in descending order.\nAnswer: 1, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*y - 242198 = -27*y + 87812. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11948967973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17493 or 17448?\nAnswer: 17493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 4. Suppose -4*d - 3*q - 16 = 0, -15 + o = 3*d + 2*q. Let m(l) = 2*l**3 - 11*l**2 - 23*l + 140. Let p be m(5). Is d greater than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/3 and 50\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**3 + 58*c**2 + 77*c - 80. Determine y(30).\nAnswer: 430","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*q + 31 + 23 = 0. Suppose -q*c - 5*j - 7 - 12 = 0, -j - 2 = 0. Let h(f) = -f**2 - 4*f - 4. Calculate h(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000001010000 + -11111001?\nAnswer: -11000101001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/8*-4)\/(3\/(-15)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 45 = 4*s - 5*c, -35 = -5*s - 3*c. Let w = 55 - s. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 3*u = 6, p - 2*u + 7*u = 14. Let j be 2\/((-336)\/508) + 3. Let y = 5\/14 + j. Which is the second smallest value? (a) 0.5 (b) p (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52033940?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.241 in 67\/2, 5\/4, -30?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 4 - (28 + -18 + 3)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1828015 (base 11) to base 12\nAnswer: -1055b23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/8*(-7956)\/153.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -16*x**2. Let h(w) = -2*w + 1. Let y be -3*-8*(-8)\/(-48). Let f(u) = -10*u + 4. Let r(m) = y*h(m) - f(m). Determine j(r(s)).\nAnswer: -64*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -2*d + 83, d - 5*d = -4. Find the common denominator of -1\/12 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -17*y - 15*y + 10*y. Suppose 5*f = -5*h + 35, 2*h - 1 - 5 = 2*f. Suppose y = -12*k + f*k + 2340. Does 13 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - -9. Let u(l) = -2*l + 26. Let o be u(w). Solve 0 = 3*f + 3*g + 15, 3*f + g + 10 + 5 = o for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4*2*sqrt(3) + (1 + sqrt(3))*-3)**2*-6.\nAnswer: -2232 - 396*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4778312 divided by 4778312.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -6*m + 4. Calculate x(5).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 13 = 3*m, -11 = -2*m - 2*j - 1. Let n = 18 - 15. Suppose -1 = -y, n*y = 3*u + 5 - 14. Solve -2*b + u = -m*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-102)*8\/(-6).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*z = 2*z + 224 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17329 and 5031?\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -10*d - 48. Let c be k(-5). Sort 127, c, 4 in descending order.\nAnswer: 127, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**3 + 316*s**2 + 4070*s - 115. Calculate c(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.179 and 40953?\nAnswer: -7330.587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/22 and 83\/266?\nAnswer: 2926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - 3*b + 11*b)*(2*b**3 + 32*b - 60*b - 43*b).\nAnswer: 16*b**4 - 568*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -719787 divided by -131\nAnswer: 719787\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40 + -202\/5. What is the third biggest value in m, 2, 0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/54701396 and 21\/1278070?\nAnswer: 273506980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-4 - 1) - (-1 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4889903\/106 or -46132?\nAnswer: -46132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1641057 + 384487. Round t to the nearest 10000.\nAnswer: -1260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 374765631 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((20 + 19 + 7)*(-3*u**2 + 1 - 1) + 2 - 2 - u**2)*(u - 7*u - 4*u).\nAnswer: 1390*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.8669688 minutes in days?\nAnswer: 0.002685395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x*x*x\/(x\/(x*x**(-1\/2))*x)*x*x)\/x*x)**(-43)\/(x*x**(-1))**12 assuming x is positive.\nAnswer: x**(-387\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/3)\/p)**(14\/9)*(p**0)**46)\/((p**(-2\/9))**(9\/5))**0 assuming p is positive.\nAnswer: p**(-70\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(sqrt(32)\/(sqrt(12)\/sqrt(3))).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2053298 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/6 - (-15)\/(-6). Calculate the remainder when 19 is divided by (-1 + -2 - j) + 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314074700 is divided by 157037346.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5666365 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -57*n. Let a be (-21)\/6 + (-1)\/2. Let j(v) be the first derivative of -7*v**2\/2 + 87. What is a*r(q) + 33*j(q)?\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h + 3*q = -9100, -3*q = h - 5*q - 700. What is the lowest common multiple of 14 and h?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-408)\/(-78))\/(-17))\/(-2).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76, 519, 1684, 3931, 7620?\nAnswer: 13111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5 + 2*h)*(-1 + 2 + 6) + (-2 - 8 - 1)*(-2 + 1 - 1)*(2*h - 3*h - h) as j + k*h and give k.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 1449?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (9 - -13) + -30?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-15) - 752\/(-2585)*(-68)\/(-396)*-3?\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3978552 divided by -1\nAnswer: 3978552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*s + 6*t - 3*t, 4*s + 2 = 3*t. Find the common denominator of (s - -1)*(-10)\/(-28) and 3\/9 - 142\/66.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0495 * -0.4.\nAnswer: -0.0198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*9\/54*-9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/560 and -29\/105.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 6:24 AM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2803 in 0, 0.03, -2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 301235 = -4*s - 5*u, -5*s + 6*u = -376507. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/396 and 67\/432.\nAnswer: 4752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14079)\/(-13110))\/247*5?\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 482378*x**3 - 3140*x**2 - 13 wrt x?\nAnswer: 2894268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 37616957?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 17606*h + 10398*h - 9963*h in the form k*h + c and give k.\nAnswer: 18041","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 69\/(-23)*(-4 + 2)\/(-10). Let s = 0.072 + 0.328. Let o = -1.1 - -1. What is the closest to t in s, o, 0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-275)\/22 + 3\/(-2). Let f be 34\/10 + h\/35. Suppose 8 = -4*y + 2*y. Sort f, y, 4 in descending order.\nAnswer: 4, f, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -u - 5, 2*o = -0*u - 4*u - 2. Suppose y - 4*q - 21 = q, -3*y = o*q + 9. What is the closest to -2\/3 in y, -2\/7, 0.1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 m when two letters picked without replacement from {w: 1, t: 1, d: 1, p: 1, m: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4103 by -3.\nAnswer: 4103\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154 - 6 + 4*u - 2*u.\nAnswer: 2*u - 160","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of -x**4 + 0 + 22*x**2 + 0*x - 13\/6*x**3. What is the derivative of a(o) wrt o?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/((-35)\/(-10) - 4). Let y(i) = i**2 + 6*i + 11. Let p be y(t). Suppose 4*s = p*s + 3. What is the remainder when 19 is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/9592 and 11\/740.\nAnswer: 1774520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*f - 9*f. Suppose 0 = 4*t - 4*j - 4, 2*t + 0*t - f*j = -4. Solve -t*g = -0 + 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -0.2 (c) 2\/15 (d) 19 (e) -0.03 (f) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-7 - -12 - 26) + 68.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + -7. Let i = n - -7. Let m be 3\/(((-2)\/(-4))\/((-1)\/2)). Which is the nearest to i? (a) 3 (b) m (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 42395269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 123146 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51667 is divided by 638?\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/14)\/(378\/(-2646)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*i**3 + 21*i**3 - 21*i**3 - i.\nAnswer: 31*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**2*m*m\/(m**(2\/3)*m)*m)\/(((m*m**(-2\/13))\/m)\/(m**(-1\/5)*m)))**9 assuming m is positive.\nAnswer: m**(3678\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3851\/(-28) + (-1)\/(-4). Let t = -137 - a. What is the closest to t in 3, 0, 0.24?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -402033 or -9246762\/23?\nAnswer: -9246762\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 5608394?\nAnswer: 1\/5608394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 76*n**3 - 9*n**2 + 9*n - 47. Let m(i) = -19*i**3 + 2*i**2 - 2*i + 12. Let a(g) = -2*j(g) - 9*m(g). Differentiate a(k) with respect to k.\nAnswer: 57*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + x**2 - 4*x - 4. Suppose -a = -0*a + 3. Does 14 divide c(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 103, -5290, -20391, -50054, -99133?\n\"Answer: -809*n**3 + 270*n + 642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 725514297378194 and 3?\nAnswer: 725514297378191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -275 = -4*p - 3*d, -192 + 462 = 4*p - 2*d. Suppose -67*c = -p*c + 116. Is c a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-6 - 0 - (-6 + -1))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 281*l**2 - 4*l - 195 + l + 3*l + 238.\nAnswer: 281*l**2 + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -16*c + 22*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sk when two letters picked without replacement from kskshskhhhshkkk?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/9067 or -3881?\nAnswer: -3881","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 39*y**2 + 11*y. Let g(p) = -1678*p - 1682*p - 3*p**2 - 3*p**2 - 7*p**2 + 3356*p. Give 4*f(j) + 11*g(j).\nAnswer: 13*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 15 = -0. Let b = -233448 + 233449. What is the smallest value in b, 0.4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 90 - 86. Suppose 0*g = -4*g - 8. Let p be 2 - ((-16)\/(-4) - g). Sort 2, i, p.\nAnswer: p, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -969*l**3 - 4*l**2 - 8*l - 26. Let a be k(-3). What are the prime factors of a\/15 + (-18)\/27?\nAnswer: 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -2 + 2 + 0 - (-8 + -243)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-56)*-2 + ((-30134)\/8372)\/19.\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -31 (b) -8 (c) -4\/7 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 + 13. Let v(q) = -2*q + 7. Let t(i) = -2*i + 7. Let o(u) = -5*t(u) + 6*v(u). Is o(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of 8\/7*v + 4\/7*v**2 + 2\/21*v**3 + 7. Factor n(d).\nAnswer: 2*(d + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/32550 and -23\/13083?\nAnswer: 20278650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1267236, -1267178, -1267074, -1266918, -1266704, -1266426, -1266078?\n\"Answer: c**3 + 17*c**2 - 1267254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 4:30 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f**2 + 10*f + 98. Let h be x(-6). Find the second derivative of 130*b - 7*b + h*b - 3*b**3 + 0*b**3 wrt b.\nAnswer: -18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 35*s. Let i be l(2). Calculate the greatest common factor of i and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8750 - -9326. Solve -35*x + g = 61*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -59 + 63. Let x(v) be the third derivative of -2*v**2 + 0*v**3 + 0*v - 1\/20*v**5 - 1\/8*v**u + 0. What is the second derivative of x(z) wrt z?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*s + 45 = -2*p - 7*s, -12 = 4*p - 4*s for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 2*x = 12, 5*a - 2*x = -x + 8. Suppose a*t = 7*t - 5. Let o be (-2)\/(t + 4 + -2). What is the closest to -1 in 1\/2, 2\/7, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 1 = 2*a + a, 4*l = a + 22. Let u(i) = -i**3 + 6*i**2 + i - 3. Let x be u(6). Let j be (-4)\/(-30)*x*-5. Are j and a non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 14688234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - (12\/1 - 4). Let o be 3\/(-6) - 116\/b. Let r = -146 + 244. What is the greatest common factor of o and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**2\/13 - 88*p\/13 - 62 = 0. Calculate p.\nAnswer: -31, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**4 + 11*r**3 + 25*r**2 + 13*r = 0 for r.\nAnswer: -1, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2222045, 2222041, 2222035, 2222027, 2222017?\n\"Answer: -i**2 - i + 2222047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y. Let c(q) = -2*q - 1. Let f(w) = -2*c(w) + 5*o(w). Let p be f(0). Suppose 4*d = -p*g - 3*g + 160, 0 = -5*g - 2*d + 150. Does 14 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (5 + -2 - 0)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -103*w + 300. Determine p(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 568\/56 - 3\/21. Solve -u*j - 182 = -202 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74, -77, -90, -119, -170?\nAnswer: -249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 158 + -270. Let q = 219 + s. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v + 15. Let p be x(-6). Suppose c = 3*d - 0*d - 2366, -p*d + 2356 = c. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1000) + (sqrt(1000)*2 + sqrt(1000) + sqrt(1000) - sqrt(1000) - sqrt(1000)))*3)\/((sqrt(20)\/(sqrt(18) + sqrt(2)))\/sqrt(5)) + 1)**2.\nAnswer: 720*sqrt(5) + 648001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -5*p**3 - p**2 + 3*p + 2. Let i(q) = q - 1. Let s(b) = -9*b**3 - 2*b**2 - b + 10. Let a(m) = 6*i(m) + s(m). Determine 3*a(j) - 5*g(j).\nAnswer: -2*j**3 - j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1373 divided by 600\nAnswer: 1373\/600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3460 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 - u + 1. Let d(z) be the second derivative of z**4\/3 - 5*z**3\/6 + z. Let x = 1764 - 1765. Calculate x*d(r) + 5*m(r).\nAnswer: r**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5864\/363 greater than or equal to 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = n - 207, o + 4*o + 5*n = 195. Suppose -6*h + 1 - 19 = 0. Let g be ((-15)\/6)\/(h\/o). Which is smaller: g or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 4 - -4 - 7) + 7 + -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 14 = -3*n + 7*n, n - 5 = 5*h for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 0 - 30) + (277 - 292).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of 0*w + 0*w**5 + 2\/105*w**7 + 0*w**6 - 67*w**2 + 2*w**4 + 0 + 0*w**3. What is the second derivative of j(p) wrt p?\nAnswer: 48*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 369*k**3 - 4*k**2 - 5460*k + 196168065.\nAnswer: 1107*k**2 - 8*k - 5460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + u = 10. Let x(l) = 18*l**2 - 4*l**2 - 5*l**2 + 2*l**3 - 2*l + l**3 - 2 - 10*l**2. Determine x(u).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*g + 0*g - 6*g)*(54 - 9 - 28)*(-2 + 3*g + 2) as w + f*g**2 + k*g and give f.\nAnswer: -459","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 21. Let f = h - -15.7. Which is the biggest value? (a) -2 (b) 4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10\/3*i**2 + 70\/3 + 11\/3*i + 1\/3*i**3.\nAnswer: (i - 7)*(i - 5)*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56098902.\nAnswer: 2, 3, 31, 197, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -6118.0784 to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**3 - 3*o**2 - 48*o - 193. Give x(-3).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2*y - 10 = -4*w, -3*w - 3*y + 30 = 0. Solve -3*q - 8 = w*a + 29, a - 3 = 2*q for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 - 0.1. Let y be (-8)\/(-10) - (1624\/130 - 11). What is the biggest value in h, 1\/12, y?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 34, 27, 22, 25, 42, 79, 142, 237?\n\"Answer: h**3 - 5*h**2 + h + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -131 or 7413?\nAnswer: 7413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -65*y. Determine q(1).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(1\/3)*b)\/b**4*(b\/b**(-2))**34 assuming b is positive.\nAnswer: b**(299\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 468 and 972?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*s + 119 + 231. Does 16 divide (-30)\/s*(-159 + 4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -346652*q. Let g(r) = 512*r + 2. What is g(d(p))?\nAnswer: -177485824*p + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -333.123808 + 496.1238193. Let h = s - 163. What is h rounded to six dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 38*v + 60. Is x(37) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -859 (base 15) to base 2\nAnswer: -11101011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 14. Let t(n) = -2*n - 7. Let z be t(y). Suppose -3*o = -0*o - 15. Calculate the highest common divisor of o and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -560176 by -38.\nAnswer: 280088\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -174 - -210. Solve -x*h = -41*h - 20 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63057.58 centuries in months?\nAnswer: 75669096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**3 + n**3 + 2*n**5 + (-2 - 1 + 2)*(-n**3 + 2*n**5 + n**3) + n**5 + 3*n**2 - 3*n**2 - 2*n**5 - n**2 + n**2 - 62 + 62 - 2*n**3 - 7*n**5.\nAnswer: -8*n**5 - 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 13*u**2 - 2*u - 5. Give h(-13).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xnipn. Give prob of picking 1 p and 1 n.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 31*y**3 + y**2. Let k be o(-1). Let n = -1278 - -1360. Let z = n - k. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.31793 tonnes in micrograms?\nAnswer: 65317930000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 106*((-62)\/1085)\/(144\/(-1260))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v**4\/2 + 44361*v**3\/2 + 164279559*v**2\/2 + 2129118075*v\/2 + 1800736377 = 0.\nAnswer: -7387, -11, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 3. Let n(i) = -2*i**2 - 11*i + 31. Let q be n(-8). Let r = q + 26\/3. Which is smaller: r or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/7, -2, 194?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.52 - -401.48. Let v = r + -408. Let n be (-6)\/7 + 2 + -1. Which is the third biggest value? (a) 0.2 (b) n (c) -14\/5 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -551 divided by 1?\nAnswer: -551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - (-8)\/(-12))*(-24)\/(-10). Suppose 0 = 2*x + 12 - 2. Let y = 100 + -304\/3. Which is the closest to g? (a) y (b) x (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 218797 - -258180989.\nAnswer: 258399786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (168\/(-112))\/((-1)\/2). Suppose -s - 30 = -4*b, 2*b + 16 = -5*s - 24. Which is smaller: w or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1818.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1372 + 645. Let a = 727.00361 + j. Round a to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 8:17 AM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2188*p**3 + 1026*p**3 + 1032*p**3)*(-3 + 6 - 2) + (3 - 2 - 3)*(-p**2 - 2*p**3 + p**2) in the form i*p**2 + m*p**3 + c + h*p and give m.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-1 - 9 - -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7\/35 + (-11)\/220*4. Solve -44*t + 41*t - 31 = 5*x, p = x - 4*t - 3 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 9*r**2 + 13*r + 21. Let l = 206 + -216. What is b(l)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-1\/4))\/u)\/(u\/((u**(8\/7)*u)\/u))*(u*u*u\/(u**(1\/5)*u))\/u**(-12) assuming u is positive.\nAnswer: u**(1917\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilogram in milligrams?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - 1) + (193 + -225 - -39).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*((-5)\/(-1) + 0 - 16). Let r = -506 + 847. Calculate the highest common divisor of c and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2420 + -2119. What is the remainder when z is divided by 90?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 3:01 AM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 34 + 11*u + 4*u + 5*u - 21*u as b*u + g and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/13 in 0.1, 13, -2, 1\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 17599911 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -4353 + 4398. Solve 5*x = q - 21, -7 = -3*q + 46*x - u*x for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1664 + -925. Suppose 71 = 5*o - x. Is 27 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 7012651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d**3 - 33*d**2 + 182*d - 71. Let u(h) = -4*h**3 - 44*h**2 + 243*h - 95. Let x(a) = -11*l(a) + 8*u(a). Calculate x(-15).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 176*m**3 + 5*m**2 - 553*m - 1116. Calculate y(-2).\nAnswer: -1398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1620) - sqrt(1620)*-4)\/(sqrt(576) - (sqrt(576) + sqrt(576) + -4*sqrt(576) + sqrt(576))))**2.\nAnswer: 1125\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h + 5. Let t(p) = 1. Let j(l) = 15*t(l) - 3*w(l). Let c be j(-1). Suppose -c*z + 2*x + 4 + 6 = 0, -14 = -3*z - 2*x. Is z even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + -0.2. Let j = 245 - 241.51. Let m = 53.49 - j. Which is smaller: m or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -662954\/17 or -21?\nAnswer: -662954\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 304 = 4*p, -3*h + h + 5*p = -145. What is the lowest common multiple of h and 24?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by 40?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003787292 to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 111, 214, 329, 456, 595?\n\"Answer: 6*h**2 + 85*h + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 7) in base 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-3)*(((-230)\/(-40) - -4) + -9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -124, -253, -380, -505, -628, -749, -868?\n\"Answer: j**2 - 132*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/6*(-12)\/(-8) - -1964. Suppose 6*a - 2364 - l = 0. Suppose -4*x + 2*d + 708 = -26, 4*x + 2*d - a = 0. What are the prime factors of x?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*v + 16*v - 8. Calculate the lowest common multiple of 48 and (43 - 1\/(-1)) + v + -4.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 30506 - 9?\nAnswer: 304a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3 - b + 3*b + 0*b. Let g(k) = -k. Let o(h) = 3*g(h) + w(h). Give o(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3 - 63279*h**2 + 189830*h - 126552.\nAnswer: (h - 63276)*(h - 2)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12432493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 1702\nAnswer: 5\/1702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3223\/4 + -806. Which is the second smallest value? (a) g (b) 1 (c) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8774146747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -19*j**2 + 4*j + 1. Let v = -763 - -762. What is q(v)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 2417389500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/(39\/(-27))*16\/12*(-120)\/(-330).\nAnswer: -48\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 2*p**3 + 1042*p**2 + 135198*p - 136242 = 0?\nAnswer: -261, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-2)\/23 - 4260\/(-1380) and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2853.84 and -216489.\nAnswer: -219342.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -618 minus 12.15?\nAnswer: -630.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*b**4 + 2*b**3 - 2*b**3 - 2*b**3 + 3 + 4*b**3 - b in the form t*b**4 + k + u*b + f*b**3 + i*b**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 10) to base 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i**2 + 13648*i - 13652 = 0. What is i?\nAnswer: -3413, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 39461 to the power of 1\/2, to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3\/6 + 34910*w**2\/3 - 121870810*w\/3.\nAnswer: -5*w*(w - 6982)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q**2 + 95952910*q + 95952905 = 0. Calculate q.\nAnswer: -19190581, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 7, -5, -121, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 9*z - 4. Let s(l) = 343*l - 154. Let r(j) = -2*s(j) + 77*y(j). Let a(t) = -2*t + 9. Let b(p) = 10*p - 42. Let w(m) = -14*a(m) - 3*b(m). Give w(r(h)).\nAnswer: -14*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -2. Suppose -5*t - 5*n = -515, 0 = t + 5*n - 123 + 32. Suppose 0 = -11*b + t - 29. Solve 2 = 2*a + i*s - 0, 0 = a + 3*s - b for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3875 * -0.1.\nAnswer: 387.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2479 * 217.\nAnswer: 537943","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/15, 2, 3\/8, -5\/29, 4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-2\/3)*t)\/t)\/(t*(t*t\/t**(-11\/2))\/t)*t**10\/(t*t**(-9)))**(1\/6) assuming t is positive.\nAnswer: t**(59\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**3)\/(a*(a*a**3)\/a))\/(a**(-3\/4)\/(a*a*((a**(-2)\/a)\/a)\/a)))\/((a**(-1\/2))**(1\/2)*(a**(2\/5))**(-5\/8)) assuming a is positive.\nAnswer: a**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*a + 4*a + 88 = 0. Let j be (-48)\/(-4) - 3 - 0\/2. Let m(g) = -5*g**3 + 3*g**2 - 5. Let n(y) = -2*y**3 + y**2 - 2. Calculate a*m(f) + j*n(f).\nAnswer: 2*f**3 - 3*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 24.2, -13152.6, 4?\nAnswer: 24.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((5 + 1 + sqrt(153) + sqrt(153))**2 + 1).\nAnswer: 216*sqrt(17) + 1947","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -414*l - 2. Let g(t) = -2*t. What is b(g(c))?\nAnswer: 828*c - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/(-36)*(-135)\/(-36)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**2\/3 - 194*g + 28227 = 0 for g.\nAnswer: 291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 299511256.\nAnswer: 2, 11, 419, 8123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33098?\nAnswer: 2, 13, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 94929.28 micrometers in kilometers?\nAnswer: 0.00009492928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 229831 and 7973?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3140 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20.2 + -20.6. Which is the smallest value? (a) -106 (b) z (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 249991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 4*v + 20 = 0, -3607 = -k - 5*v - 3574 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3*g - 8. Let x(l) = -6568*l - 24. Calculate -x(j) + 3*y(j).\nAnswer: 6559*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**3\/11 + 413504*r**2\/11 + 21371540640*r\/11 - 170998790400\/11 = 0. Calculate r.\nAnswer: -103380, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (-798)\/19*(-12)\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 659 - 423. Let m = -236.0211 + v. What is m rounded to three decimal places?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3084, 4502, 5920, 7338, 8756?\n\"Answer: 1418*r + 1666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-35 + 35 - 9*m)*(-2*m**3 - 2*m**2 + 2*m**2) as f*m + p*m**4 + d*m**2 + n*m**3 + r and give p.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 949733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1 + (-3 + sqrt(200)*-2)**2)*-3 + -5.\nAnswer: 1080*sqrt(2) + 7267","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 23\/3. What is the second biggest value in z, -0.3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_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: b\"What is the ith term of 591, 2029, 4403, 7713, 11959, 17141, 23259?\n\"Answer: 468*i**2 + 34*i + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*f - 2, 2*f = g - 37. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*m + 16 = n - 42*m - 11 + 8, -30*m - 153 = 3*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - 16. Let r(f) be the first derivative of s*f - 2\/5*f**5 + 0*f**4 - f**2 - 1 + 0*f**3. What is the second derivative of r(y) wrt y?\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3 + 42368*m**2 + 254100*m + 381096.\nAnswer: 4*(m + 3)**2*(m + 10586)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.17 (b) -3 (c) -7 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o = -14*o + 585. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**2 + v**2 + 2*v**2. Suppose 4*f + 3 + 1 = 0, -a = 3*f + 1. Let i(c) = -c**2 + c - a*c + c. Calculate p(i(d)).\nAnswer: d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 323 + 968. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 2\/8087?\nAnswer: 2\/8087","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5010 is divided by 412.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 + 25. Let w be 2\/(11\/(-1)*-1). What is the nearest to w in 2, 0.4, h?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 147187 to the nearest integer?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 4996*q + 141. Is j(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39 and 403?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 + 29.5. Let w = i - 10.50077. What is w rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1459.90154 to the nearest 100.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16*3\/((-48)\/(-8)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -4*y + 1. Let w(k) = -23*k + 6. Suppose -31 = -2*c - 19. Determine c*w(n) - 34*l(n).\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = d + 14, 9*d - 6*d + 18 = 4*l. What is the third derivative of -1 - 2*x + 5*x**3 - 2 - 10*x**2 + l + 15*x**2 wrt x?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*a**4*l**2 + 118880*a**4*l + a**2*l - 19107*a**2 + 6*a*l - 4*l**2 wrt a.\nAnswer: 144*a*l**2 + 2853120*a*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 376 + -102. What is the remainder when q is divided by 94?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-174)\/(-2262)*(-78)\/(-4)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -340, -676, -1012, -1348, -1684, -2020?\nAnswer: -2356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 31 = -19. Let y be (1\/(-2))\/((-6)\/576*-8). Let i = s - y. Let g(l) = l - 5. Determine g(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1904 and 0.5.\nAnswer: 952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*a - 18*a**2 + 2*a**3 + 3*a + 18*a**2 as b*a**2 + o*a**3 + p*a + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9 - 246\/30)\/(((-24)\/15)\/(-4)). Solve -3*u = -4*j - 4, a*u = -49*j + 53*j + 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.03 - 102.97. Let v = z - -105.0000048. Round v to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5679499, 5679502, 5679505, 5679508, 5679511, 5679514?\nAnswer: 5679517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -594 (base 12) to base 8.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*u**2 + 2*u*x**3 + 17*u*x**2 + 4*u*x - 410*x**3 - 18*x**2 wrt u.\nAnswer: -6*u + 2*x**3 + 17*x**2 + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 492.453us?\nAnswer: 0.0000000056996875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.732162 plus 1.3?\nAnswer: 3.032162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 45 + 39 - 83 + 6*o**2 + o**3 - 7*o. Calculate m(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179*z = -496 - 41. Put 8, z, 62 in increasing order.\nAnswer: z, 8, 62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00029333114 rounded to 5 decimal places?\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**5 - 98*d**4 - 336*d**2?\nAnswer: 60*d**2 - 2352*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116827368?\nAnswer: 2, 3, 7, 41, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 628 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t**2 + 144*t - 1865. Give h(25).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -45093 - -45137. Let y(k) = -3*k**3 - 3*k**2 - 2*k + 1. Calculate the remainder when o is divided by y(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 545 + -3510?\nAnswer: -2521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hxxxxhhxxhhxxxxx. Give prob of picking 4 x.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -29034910 divided by -31?\nAnswer: 936610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (2 - (6 - 0))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11092 to the power of 1\/2, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(704) + (sqrt(704) + 1 - sqrt(704))**2 + sqrt(11) + -2*sqrt(176).\nAnswer: 1 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 24185.\nAnswer: 2\/24185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -496, -1190, -2114, -3268, -4652?\nAnswer: -6266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1646 is divided by 44.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**43*i**(2\/9) assuming i is positive.\nAnswer: i**(389\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-t + 2*t + t)*(-2 - 4 + 4) + 2*t - 4*t + 4*t)*(4*t + 6*t - 4*t) to l*t**2 + c*t + p and give l.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus 2536478469581?\nAnswer: 2536478469582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -3271 bigger than -3269?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*u + 4*u + 5 - 7*u)*(1 + 3 + 0) to l + z*u and give z.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-11*(-20)\/(-3080))\/(6\/(-441))\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (20 - 3)) + 85 + -77.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1308, -3079, -4852, -6627?\nAnswer: -8404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 50891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1821126 divided by 19582.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -24 (b) -1.37 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -196*o**2 + 14 - 3519*o**2 + 34 + 12 - 60.\nAnswer: -3715*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -456, 2167, 6528, 12627?\nAnswer: 20464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 35 = 18*c. Find the second derivative of -20*w**c + 54*w - 23*w**2 + 23*w**2 - 13*w**3 wrt w.\nAnswer: -198*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6 + 12)\/((-27)\/6). Which is the second biggest value? (a) -6370 (b) 4\/7 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 29657, 29671, 29699, 29747, 29821, 29927, 30071, 30259?\n\"Answer: d**3 + d**2 + 4*d + 29651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 0.0708, 5, -4\/5, 1\/3, 5.1?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 18*s + 126. What is the hundreds digit of x(33)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -168 + 171. Suppose j = 4*i + 15. Put -1, -2, -5, i in increasing order.\nAnswer: -5, i, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33 - 26. Let f be (-1 - 41)*v\/(-14). Suppose 0 = 8*s - 5*s + f. Is s >= -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 - 0 - (-6 + 14 + -11 + 11).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 8*q**2 + q + 8. Give r(-7).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.63 - 4.6177. Round i to 3 dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cxbd when four letters picked without replacement from {c: 2, t: 2, d: 10, x: 3, b: 3}.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.6 + 0.4. Let v = -1 + 5. Let f = v + -4.1. Which is bigger: f or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -162*i*k*t**5 + i*k*t**4 - i*k*t**2 - 147*k*t wrt t?\nAnswer: -9720*i*k*t**2 + 24*i*k*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 226652473 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -1043543.\nAnswer: -1\/1043543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 64*i - 1. Let f(g) = -16*g**2. What is f(q(o))?\nAnswer: -65536*o**2 + 2048*o - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g. Let h(n) be the second derivative of -7*n**3\/3 + 6*n. What is z(h(o))?\nAnswer: -28*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -502*v**3 + 7*v**2 + 58*v + 144. What is the hundreds digit of o(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50420000 rounded to the nearest one million?\nAnswer: -50000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 103*u - 101*u = 1, -k - 4*u = 13. What is z in 2\/3*z**5 - 80\/3*z**2 - 20\/3*z**4 + 32\/3*z + 0 + 22*z**k = 0?\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6*(2 - 1)*-1. Suppose -h = 1 - z. Solve 0 = 5*v - h*l + 25, -v - 4*l + 16 = -3*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -6. Suppose -10*b = -5*b. Suppose -5*f + b*v + 42 = -v, -2*f - 3*v = -10. Solve 0 = -r*g - 2 - f for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 88765\/14 + -6343. What is the common denominator of -31\/18 and l?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1641480679?\nAnswer: 17, 2711, 35617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 s when four letters picked without replacement from {o: 16, s: 2}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1777657493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7256932 is divided by 7256917?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 7.48.\nAnswer: 1.496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3020798555 to five decimal places.\nAnswer: 0.30208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 193 a factor of 152624444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 72 - 71.5. Which is the nearest to 2\/3? (a) u (b) -1 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -158331, -158166, -158001, -157836, -157671?\n\"Answer: 165*c - 158496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -6*s**2 + 2*s - 1. Suppose -3*n = -2*z + 12, z + 20 = -4*n - n. Suppose -2*r + z = -36. Suppose -i - v - 4 = 0, r = 4*i - 3*v - 1. Calculate q(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 + -18.9. Let v = -0.8 + j. Let w = 0.3 - v. Which is the nearest to 1? (a) 0.3 (b) w (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t - 7 + 31 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -660934.486 rounded to the nearest 10000?\nAnswer: -660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(833) + -1 + 5 + -2*sqrt(833) + -2)*1 + -5)**2.\nAnswer: 112*sqrt(17) + 897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -12*o**2 + 31*o - 1029. Let z(p) = -9*p**2 + 24*p - 772. Calculate -7*a(k) + 9*z(k).\nAnswer: 3*k**2 - k + 255","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 214 and 731911351?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.6, -1.1, 3, -5 in descending order.\nAnswer: 3, -1.1, -3.6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -62*k - k + 15*k**2 - 40*k wrt k.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g + 5*g + g)*(-3 - 1 + 2) - 9*g - 19 + 19 + 0*g - 15*g + 10*g to the form y*g + o and give y.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2067487 is divided by 1057.\nAnswer: 1052","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/2? (a) -5 (b) -17 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 10, -2, 2 in descending order.\nAnswer: 10, 2, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -61 - -86. Let v = -137 + y. Let p = v + 111.7. What is the smallest value in 3, -0.03, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 358?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of l**4\/12 + 8*l**3\/3 + 22*l**2 + l + 92. Give o(-11).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12443*u**2 + 1109*u**2 - 456*u**2 + 5497*u**2 + 6215*u**2 to the form a + z*u + v*u**2 and give v.\nAnswer: 24808","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1850 - 1850 + 514*s**4 + 502*s wrt s?\nAnswer: 6168*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -7, -5, -3, -4 in descending order.\nAnswer: -1, -3, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -980*k**3 - 736*k**2 + 2*k + 4. Let m(j) = -3922*j**3 - 2944*j**2 + 9*j + 19. Let a(w) = 2*m(w) - 9*v(w). Find the third derivative of a(q) wrt q.\nAnswer: 5856","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = -t + 553. Calculate the remainder when t is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of s**7\/2100 - s**6\/900 - s**5\/150 - s**3\/2 - 4*s**2. Let l(o) be the first derivative of k(o). Find h, given that l(h) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -109192, -436822, -982884, -1747378, -2730304?\nAnswer: -3931662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 2. Let c = -15.04 + 0.04. Let m = -12 - c. What is the biggest value in m, z, -0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 3472549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = y - 3. Let p be (-2 - 5\/(-2))*72. Suppose j = -y*j + p. Calculate the remainder when 16 is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 3 + 2)*(3*c + c - 3*c) - 30*c - 33*c + 20*c)*(0 + 1 + 0 + 3 - 1 - 3 + 1 - 1 - 1 + (0 - 3 + 2)*(0 - 2 + 3) - 3 + 0 + 1).\nAnswer: 168*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-4\/5)*s\/(s**1*s)*s*s)\/((s\/(s\/(s*s**(-1\/2))))\/(s\/s**(2\/11))))**(-18\/11))**(-11) assuming s is positive.\nAnswer: s**(513\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 15 - 7)*(-3*j + 4*j + 0*j).\nAnswer: -20*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -210212 (base 4) in base 14?\nAnswer: -bd4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b. Suppose 3*t + 171 - 681 = 0. Let d(o) = t*o + 2*o**2 - 170*o. Calculate i(d(u)).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -4*s**2 - 19*s - 6. Let z be d(-5). Let p be (-1*(1 - 2))\/(-1) - z. Solve -p*f = -11*f - 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 24*i**2 - 37*i + 305. Calculate x(25).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -1498, 16, 5, -4 in increasing order.\nAnswer: -1498, -4, -3, 1, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 0) + (-7 - -2 - -2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-15))\/((-4)\/(-36))*205\/(-615).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 1098\/222 - 14\/259?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -931*205.\nAnswer: -190855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13\/((-1989)\/(-1206)) - (30\/34 - 1) and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wbuuuqubuuwbuubud. Give prob of picking 1 w, 1 b, and 1 u.\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*v**4 - 3745*v**3 + 101175*v**2 + 329665*v + 224750 = 0. What is v?\nAnswer: -775, -2, -1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*o**6 - 3549467*o**3 + 2*o**2 - 8141835.\nAnswer: 240*o**3 - 21296802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 88 - 83. Find the common denominator of 10*q\/10 - 166\/42 and 77\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bas when three letters picked without replacement from {b: 4, w: 1, u: 2, d: 1, a: 1, s: 3}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(95)\/(-1*sqrt(180)) + (-3*sqrt(152))\/sqrt(8) + 1).\nAnswer: -38*sqrt(19)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73, -73, -61, -31, 23, 107?\nAnswer: 227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o - o + 13849 - 4618 + 0*o - 4622 - 4606.\nAnswer: -o + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*k - 26*k - 18*k + 70*k - 23*k.\nAnswer: -20*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -23. Let r(s) = s**3 - 5*s**2 - 7*s - 9. Let b be r(v). Let m be ((-24)\/(-10))\/(36\/240). Calculate the greatest common divisor of m and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1360 - -1362. Which is the nearest to -2? (a) l (b) 3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -980*0.14426\nAnswer: -141.3748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 divided by -2.\nAnswer: 57\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + 3*m - 7. Let r be c(-5). Suppose 2*u - 3*t - 19 = -2, 4*u + 4*t - 4 = 0. Suppose 6 + 4*n**r - 8*n**2 - u*n + 7 - 5 = 0. What is n?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - 9*z**2 - 8*z - 7. Let r be n(-8). Let g(q) = -q**2 - 6*q + 5. Let a be g(r). Let d = 4 - 3. Put a, -5, d in descending order.\nAnswer: d, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 1) + 6 + -1. Suppose -18 = 3171*y - 3165*y. What is the smallest value in y, -2\/5, 1, f?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -1. Let g(a) = a + 4. Let f(d) = g(d) + 3*r(d). What is the units digit of f(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1031621 (base 7) in base 15?\nAnswer: 272be","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o**2 + 25*o - 17. Let q(b) = 2*b**2 + 12*b - 9. Let n = -2 - 3. Let x(u) = n*q(u) + 3*p(u). Does 13 divide x(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -276, -554, -832?\nAnswer: -1110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/36423 and -6\/5?\nAnswer: 182115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 - 19 + 49 - 73*i**2 + 74*i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 15876*v + 95203. Calculate u(-6).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that v**2\/3 + 25*v\/3 + 46\/3 = 0.\nAnswer: -23, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k + 14*k = 10. Which is greater: k or 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 3*s - 10 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 490*u - 319*u - 12648 - 114352 = 5251*u for u.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 44.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 324 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -92314464, -184628927, -276943390, -369257853, -461572316?\n\"Answer: -92314463*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(-2*c + 8 - 1 - 6).\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 99 or 98?\nAnswer: 99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6}. Give prob of sequence eeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1075545577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 6*r**2 + 8*r + 9. Let q = 189 + -195. Give b(q).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 160 and 1104310?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -77*i**3 + 936*i**4 - 58*i**3 + 138*i**3 - 5*i + 410 + 218 + i**5 wrt i.\nAnswer: 20*i**3 + 11232*i**2 + 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c*d*r**3 + c*d*r**2 + 136774*c*d*r + 2*c*r**2 + 116666790*d*r**3 + 6*d*r**2 - d*r wrt r.\nAnswer: -12*c*d + 700000740*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5\/2, 34, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 v when four letters picked without replacement from {e: 6, p: 3, v: 8}.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(2142\/7) + 1085\/(-340).\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2574 - 18014\/7. What is the fifth biggest value in 1, -5, 0.06, 4, z?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 39*q - 686. Determine s(18).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 6*c - 117 = 0. Let x = c - 116\/3. Find b such that 4\/3*b**2 + x*b**3 + 2\/3 + 5\/3*b = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - f + 0*f + 4 = 0, -3*f = 2*t + 4. Suppose 3*v - 412 = 4*x - 2*x, -t*v = 2*x - 540. What is the highest common divisor of 17 and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -13128, 7.66?\nAnswer: -13128","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + c. Let w = 2 + 1. Let k be (2 - 0)\/(2 - w). Let y(f) = 2*f**3 + 3*f. Let h(v) = k*y(v) + 7*m(v). Find the second derivative of h(q) wrt q.\nAnswer: 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11510287 + 11510334.00017. Let l = s - 47. Round l to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/8, 3\/7, 3, 1, 3313, 2, -2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)\/(sqrt(7) - (sqrt(448) - 2*sqrt(448))))\/(-1*sqrt(392)*-6 - sqrt(392)).\nAnswer: sqrt(3)\/315","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -11*z + 2. Let w be a(-4). Suppose h + 3*h = -5*q + w, 4*q - 4*h = 8. Find the third derivative of -y**6 + 2*y**q - 2*y**2 + 2*y**6 + 5*y**2 wrt y.\nAnswer: 360*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + (9\/3)\/(-3). Let y = -6 - -8. Let b = c - y. Let x(t) = -5*t - 1. Give x(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-4))\/(81\/(-108))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*i*o**2 + 60*i*o - 2054*i - 7*o**2 + 279*o + 11 wrt i.\nAnswer: -2*o**2 + 60*o - 2054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -72539*y. Let i(j) = j. Calculate i(q(f)).\nAnswer: -72539*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -4b19a1?\nAnswer: -4b1999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 306 and 13311.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2813276265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.05522775 rounded to 0 dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 57*n**2 + 14*n + 243. What is the tens digit of g(-54)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 2*o = -70. Solve o*v = 10*v + 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 7) to base 12\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1795, 230, -11 in increasing order.\nAnswer: -1795, -11, 230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*b**3 - 23*b + 24*b + 87*b**3 as i*b**2 + d + j*b + u*b**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - -3) + (0 - (-18 - -6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010000100 + -111?\nAnswer: -100010001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 16*o - 2*o - 17*o - 11. Let v = 20 + -10. What is the least common multiple of u(-7) and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6111 - -6159. Solve -i = 34*u - 14 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 11933 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-1))\/(10\/(-40)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 246*x - 72183. What is j(294)?\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 657\/3035?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 149852, 149608, 149366, 149126?\n\"Answer: c**2 - 247*c + 150098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 21*l**3 - 7*l**2 - 7*l. Let w(u) = 8*u**2 + 38*u**3 + 4*u + 0*u**2 - 49*u**3 - 4*u**2. Let y = -4406 - -4399. What is y*w(n) - 4*v(n)?\nAnswer: -7*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/2 - (2 + 32). Let p = -315819.6 - -315820. What is the closest to 1\/2 in 5, d, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16\/(-64) - (-10)\/8. Let z be ((1 - 2) + -1)\/(-10). Which is the nearest to -1? (a) x (b) -3\/8 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/15 (b) 0.03 (c) -785596 (d) 4 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 - 31*n + 12576. What is a(103)?\nAnswer: -1226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 + -16. Let y = 5 + -10. Let u = 5 + y. Solve 5*v + 20 = 0, u*v = -t - 2*v - r for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*t + 1. Let m = t + -2. Which is smaller: m or -8\/7?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 5 + 2 = r, -4 = 2*g for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -0.1, 20, -9, 0.4.\nAnswer: -9, -0.2, -0.1, 0.4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 70097207 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3768 - -3?\nAnswer: 376b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7008 is divided by 3351.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -3\/4, 0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54006 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20020012 - 121012?\nAnswer: -20211101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194747506.\nAnswer: 2, 97373753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q. Let x(d) = 239*d + 500. What is i(x(g))?\nAnswer: -239*g - 500","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000064990059 rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1840 and 1326180.\nAnswer: 5304720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 7 - -4 - (10 - 0).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 - 2)*(-q**2 + 5*q**2 + 0*q**2 + q).\nAnswer: -12*q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 662*s + 22. Let v(l) = 1567*l**2 - 2*l. Give x(v(p)).\nAnswer: 1037354*p**2 - 1324*p + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -86 + 91.9. Let s = l + -6. Sort 4\/11, s, 5 in ascending order.\nAnswer: s, 4\/11, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, j: 7, w: 3, t: 3, a: 5}. Give prob of sequence jaja.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2423.836m to centimeters.\nAnswer: 242383.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-27) - (2310\/(-27))\/7. Suppose -z*d + 5*d + 511 = 0. What are the prime factors of d?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 + 10*h - 5. Let l(s) = s**2 - 9*s + 4. Give 5*l(g) + 4*v(g).\nAnswer: g**2 - 5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1303 = -4*v + 437. What is the highest common divisor of 87 and v?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -6201?\nAnswer: 6203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of -1\/30*r**5 + 0*r**3 + 1\/12*r**4 + 0*r - 2*r**2 + 0. Solve w(o) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 49*v**2 + v - 2. What is the remainder when x(1) is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - 10 - 26 = 0. Let u(l) = 0*l + 2*l - l**2 - 2 - 8*l. Calculate u(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4841 is divided by 210.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/8 + 3842\/272. Suppose 2*p - 26 = m. What is the remainder when 137 is divided by p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r**2 - 17*r**2 + 3*r**2)*(-r + 3*r - 3*r) - 2*r**2 + 2*r**2 - r**3.\nAnswer: 9*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -19386, -37610, -55834?\n\"Answer: -18224*v - 1162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1043\/375?\nAnswer: 1043\/375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -2*m - 109. Let q be -10*(4\/12 - (-33)\/m). Solve -5*k - 3 = -q*k, 5*f + 13 = -k for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/13 - 15258*s\/13 + 667480\/13.\nAnswer: 2*(s - 7585)*(s - 44)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 454671?\nAnswer: 3, 7, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 382190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -14, -41, -80, -125, -170, -209, -236, -245?\n\"Answer: g**3 - 12*g**2 + 2*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 154118113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 40*i**2 + 15*i + 29. List the prime factors of z(-5).\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of 73*b**5\/20 - 7*b**4\/24 - 3*b**3\/2 - b**2 + 8. Is z(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -424711370 rounded to the nearest one hundred thousand?\nAnswer: -424700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -83 - -78. Let x be (-2)\/5*150\/j. Suppose -10*z = -9*z - x. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 3*z**2 - 3*z - 1. Let h = 488 + -491. Calculate c(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 8*a - 258. Let v(k) = -2. Let w(j) = -p(j) + 10*v(j). What is the remainder when w(11) is divided by 55?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 5:42 PM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f**2*k**3 + 15*f**2*k**2 + 2*f*k**2 - 6*f - 34*k**3 wrt f?\nAnswer: 4*k**3 + 30*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (11 - (9 + -3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33*y**3 + 16*y**3 - 26*y**3)*(2*y + 5 - 5).\nAnswer: -86*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1898 = 6*z - 7*z. Let k = z + 19097\/10. Calculate the common denominator of 75\/22 and k.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 + -19. Let i(x) = -x**4 + 2*x**3 - 2. Let r(j) = j**4 - 7*j**3 + 2*j**4 - 2 + 8. Let q(k) = n*i(k) + 2*r(k). Differentiate q(g) with respect to g.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3920596*o**4 - 851092*o**2 - 2*o wrt o?\nAnswer: -94094304*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 693511 and 28756.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1319 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 504?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 40506424261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*i**2 - i**2 + 2*i**2)*(-i**2 + 2*i**2 - 2*i**2) + 630*i**4 - 1766*i**4 - 842*i**4 - 243*i**4 as u*i**2 + y*i + z*i**3 + t*i**4 + f and give t.\nAnswer: -2219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1868*n**3 - 5963*n**2 wrt n?\nAnswer: -11208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3746.57922 - -3747. What is d rounded to 2 decimal places?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 96, 918, 3142, 7470, 14604?\n\"Answer: 117*d**3 - d**2 + 6*d - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p*(p\/(p\/(p\/(p*p**(2\/7)))))\/p*p**(-2\/7) assuming p is positive.\nAnswer: p**(3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a tonne in kilograms?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/10 and 1\/239580?\nAnswer: 239580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110021 - -1?\nAnswer: 110022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 11*h**2 + h. Let o be q(11). Suppose 2*j - 4*l - 3 = -3*l, -4*l = 4. Suppose g - o = -j. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92800.96mm to meters.\nAnswer: 92.80096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 23888383*x**2 + 24090122 wrt x.\nAnswer: 47776766*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) - 3*2*sqrt(66) - -5*1*sqrt(66))\/((sqrt(384) + sqrt(24))\/sqrt(4) + sqrt(66)\/sqrt(44)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7 from -151510211165.\nAnswer: -151510211158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 4*w**2 + 3*w. Let n be j(-5). Let s be ((-9)\/15)\/((-2)\/n). Let t be 22 + 1\/s*0. Solve -4*b = -3*f - 9 + t, -2*b - 13 = 5*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/41, 0.05, 1\/2389, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-96)\/(1 + -4)*-2500. Round i to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of k**5\/60 + 7*k**4\/24 + k**2. Let i = -155 - -161. Let u(x) = -x**2 - 6*x. Calculate i*c(v) + 7*u(v).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2. Let l(s) = -3*s**2 - 23 + 2*s**2 - 2*s**2 + 37 - 22. Give -l(j) + 2*p(j).\nAnswer: j**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 41073486653 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 421 - 783. Let d = 160 - g. List the prime factors of d.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-1*sqrt(1300))**2 + 4*sqrt(26)\/sqrt(2) + ((sqrt(13) + 4 + (sqrt(117) - sqrt(13)))*3)**2).\nAnswer: -9988 - 880*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(42)\/sqrt(6) + ((2 + sqrt(7))*4 + sqrt(7))**2 + -4.\nAnswer: 81*sqrt(7) + 239","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.1 (b) 11 (c) -1\/2 (d) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-4*12\/384)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of 43*p**6\/120 - 5*p**5\/6 + 2*p**2 + 2. What is the third derivative of v(z) wrt z?\nAnswer: 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-48)\/28)\/(-3))\/(2\/7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*s - 1 + 8*s + 9*s + (-2 + 1 + 2)*(2*s - 2*s + 2*s) + s + 0*s - 2*s.\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -437\/6 (b) -10 (c) -91 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1188*a**2 + 1815*a**4 + 1188*a**2 - 1460*a - 312*a**4 - 1705*a wrt a?\nAnswer: 18036*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 5:10 PM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1538728+-2132.602\nAnswer: -1540860.602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1666, 1670, 1686, 1720, 1778, 1866, 1990, 2156?\nAnswer: 2370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 2*w = 7, 0 + 1 = -3*t - 2*w for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 12158 times 38\nAnswer: 462004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i - 16 = -11*i. Let h(p) = p - 1. Let o be 8\/(-10)*190\/(-152). Let n(j) = 2*j**2 - 2*j + 4. Determine i*h(c) + o*n(c).\nAnswer: 2*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 36936485.\nAnswer: -6\/36936485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 408 - 414. Let y be 1\/i + 1105\/78. Let z(d) = 2*d - 20. Give z(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three fifths of a century?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4837*u - 369*u - 238*u in the form f*u + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10318\/3 + 3439. Let l = 0.2 - 0.5. Suppose -j - 20 = 3*j. Sort b, l, j in descending order.\nAnswer: l, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -74 and -333783451445.\nAnswer: -333783451519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 251081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**10)\/k**(2\/27)*((k**(-3\/5)*k*k)\/k)\/(k\/(k\/((k\/k**8)\/k*k))) assuming k is positive.\nAnswer: k**(2474\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 62*h + 7. Let r be m(-7). Let x = r - -608. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 - 1. Let r be f(-1). Let q be (r - -5)*(0 + 1). Sort -0.2, -0.3, q in decreasing order.\nAnswer: q, -0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.46 - -1.98. Put -5, g, -1 in increasing order.\nAnswer: -5, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5870)\/5283)\/(10\/(-6))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*o**2 + (o + o - 5*o)*(-4*o + o + o) - o**2 + 0*o**2 + 2*o**2)*(o**3 - o**3 + 2*o**3).\nAnswer: 10*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**0*q)\/q)\/q)**(2\/11)*(q*((q*q\/q**0)\/q)\/q)\/((q**(2\/3)*q)\/q)*(q\/((q**(-4\/3)\/q)\/q))\/q**2*(q**(-1))**31 assuming q is positive.\nAnswer: q**(-941\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -445072 - 152?\nAnswer: -445244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a week in minutes?\nAnswer: 26208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o - 2*o - 2*o + 1 + 4*o. Let g be v(-8). Let b = g - -45. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10696 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, u: 4}. Give prob of sequence uoo.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0127 and 0.4.\nAnswer: -0.00508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(54) - sqrt(540)\/sqrt(10))\/sqrt(9))\/(sqrt(36)\/(sqrt(84)\/sqrt(7))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -78.62 to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/11403537 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/(sqrt(8)*5)*-5 + 5 + (sqrt(190)\/(sqrt(10) + sqrt(50)\/sqrt(5)*3 - sqrt(10)))**2.\nAnswer: -sqrt(19)\/2 + 64\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18 + 437\/(-23) + 3. Solve 0 = x - i*g, 4*g = 4*x - 6 + 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*t + 14*t = -18. Suppose 3*k + 748 = 4*j, 2*k + t*k + 16 = 0. List the prime factors of j.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110111000000011101 (base 2) to base 4.\nAnswer: 313000131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a - 59. Calculate j(15).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.06 + -0.06. Let m = -3 + 2.5. Let i = -1442\/9 - -160. Sort m, i, v in increasing order.\nAnswer: m, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 9) to base 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5 + 87956\/16 + (-5)\/4?\nAnswer: 5501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 344 divide 79893030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -802189, -3208800, -7219821, -12835252, -20055093, -28879344, -39308005?\nAnswer: -51341076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.120158298 plus -564.3?\nAnswer: -562.179841702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 0.09, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of -3*p**2 + 0 + 1\/480*p**6 + 0*p - 1\/120*p**5 + 1\/96*p**4 + 0*p**3. What is b in y(b) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*y**2 + 44*y**2 - 73*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -173443554 divided by 5503\nAnswer: -31518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b**3 - 4*b**3 + 7*b**3)*(-11*b - 6 + 6) - 94*b**4 - 101*b**4 + 259*b**4.\nAnswer: -13*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 2*k - 2 = 0, -r - k + 2*k = 2. Let m = -4 + r. Is m at least as big as -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -145328324, -290656646, -435984968, -581313290, -726641612?\n\"Answer: -145328322*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65)*-2 - sqrt(65)) + sqrt(65))\/sqrt(5) - sqrt(156)\/sqrt(3).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 308*q - 2718. Let i be d(9). Solve -5*y - 3*l = -i + 5, -2*y + 3*l = 14 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h - 2. Let d be w(7). Let p(l) = -14*l + 30. What are the prime factors of p(d)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*x - 0*k + 3*k, 0 = -4*x + k + 12. Factor -9*h**2 - 16*h**x + 22*h**4 + 15*h - 3*h**3 - 6 - 3*h**4.\nAnswer: 3*(h - 1)**3*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 4 = 2*j - 3*q, -8 = 4*q. Suppose -j*o = 3*x - 30, -3*x - x = -o - 17. Solve -1 = 2*r - 4*h + 5, 15 = -x*r + 4*h for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 17, 0, -12, 3 in descending order.\nAnswer: 17, 4, 3, 0, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*y**2 + 5 - 5 + 2*y + 2*y**3 + 2 as w + m*y**3 + b*y**2 + o*y and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25 + 10\/((-80)\/88) and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -152, -356, -676, -1130, -1736, -2512?\nAnswer: -3476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2436.\nAnswer: 2, 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/31277 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17236 and 372.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -2\/23, -0.1, -12, -7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 9*v - 10. Let r be m(1). Let b(n) = 23*n**2 - 1. Determine b(r).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*g + 18*g + 37*g**2 in the form u*g**2 + w + c*g and give u.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/12*1 - (-3907)\/36. Let h = o - 109. What is the nearest to 0 in h, 1, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 2 + 3, 0 = 3*b - 5*a + 8. Let l(q) = -q**2 + 1. Let t(o) = -o**3 - o**2 + 6*o - 2. Let h(n) = b*t(n) + 5*l(n). What is h(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 13*v**2 - 73*v - 28. What is the smallest common multiple of 56 and m(9)?\nAnswer: 2576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 8957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3456 and 114.\nAnswer: 65664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000908 to six dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 675*p - 1345*p + 672*p - 34 in the form r*p + j and give j.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 6. Suppose 3*z - 5 = 2*h + 3, 5*z = i. Does 10 divide 0 + 22 - (6 + h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35918*h**2*z**2 + 50*h**2*z + 18*h**2 - 2*h*z**2 - 1620*h*z - 4158*h + 4 wrt h.\nAnswer: -71836*z**2 + 100*z + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-112)\/210)\/(12\/15)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -145*w**3 - 2*w + 5140.\nAnswer: -435*w**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fs when two letters picked without replacement from {k: 1, b: 4, f: 2, s: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a day in minutes?\nAnswer: 1296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1353083 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(95) - sqrt(95)*-2) + sqrt(95)) + (4*sqrt(95)*-2 - sqrt(95)))\/(2*(sqrt(80)*3 + sqrt(80))).\nAnswer: -5*sqrt(19)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7456681.\nAnswer: 97, 76873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47764?\nAnswer: 2, 11941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.6 - 5. Is 7 at most i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56427 and 24183000?\nAnswer: 169281000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-10\/9))**49)**(-26) assuming y is positive.\nAnswer: y**(12740\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -8819 times -1\nAnswer: 8819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -0.1, 169476?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*n**3*u + 3757240*n*u**2 + 3640*u**2 - 1416*u wrt n?\nAnswer: -9*n**2*u + 3757240*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -5*y + 3*b + 33, 0 = b for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 303 a factor of 2063733?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -28*r**2 + r. Let j be x(2). Let o be 32\/66 + (-20)\/j. Which is the nearest to o? (a) 1\/3 (b) 5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/6 + (1407\/567)\/((-133)\/(-171)).\nAnswer: 34\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 566*v = 568*v - 5*i - 70, -2*v - 4*i + 88 = 0. Solve -v = -15*x + 5*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -519 - -518. Is 2\/12205 at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 4*f**3 - 303*f**2 - 64*f - 899. Calculate s(76).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 10\/201 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 173840?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12386\/66*(-5 - -2*1). Which is smaller: n or -564?\nAnswer: -564","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2157400 to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -6b29f5?\nAnswer: 6b29f6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w. Let l(g) = 4*g + 1. Let i(h) = -4*l(h) + 5*z(h). Give i(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 445904?\nAnswer: 2, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 3*d + 18 - 47 = 0, 0 = -3*g - d + 15 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -8*k**2 + 5*k. Let c(m) = 3*m**2 - 2*m. Let l(p) = -2*p - 7. Let s be l(-7). Let b = -18 + s. Determine b*c(z) - 4*h(z).\nAnswer: -z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5225 is divided by 201?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 15*t**2 - 3*t - 4063*t**4 + 2 + 4066*t**4 to h*t**3 + c*t**2 + i + x*t + y*t**4 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47267066 and 7532?\nAnswer: 3766","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 4:41 PM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 32 - 4 = 0. Suppose -2*m - 3*m = 0. Which is the nearest to m? (a) 0 (b) 5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3474 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45 and 58749633?\nAnswer: 293748165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, j: 3, y: 1, o: 2, p: 3, x: 1}. What is prob of picking 2 j and 2 x?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2*(4*sqrt(72)*-2 + (sqrt(72) - 3*sqrt(72)*1))\/((sqrt(150) - sqrt(150)*1)*-2 - sqrt(150)).\nAnswer: -4 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26 + (-553)\/21)*63.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 3*t + 6 = t + 17830*h - 17827*h, 0 = 3*t - 2*h for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 1314?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -123762 (base 9) to base 8\nAnswer: -222345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 3 = 0, 59*l - 61*l + 3*t - 3 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 196, -493, -17 in ascending order.\nAnswer: -493, -17, 4, 196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rrrrrrrrbrrrrrbb.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(684)*-3)**2 - sqrt(684))*3 - 1*(sqrt(684) + -2)) + (-2*(sqrt(684) + (sqrt(684) + 2)*-1))**2*-4.\nAnswer: -24*sqrt(19) + 18406","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -2\/17, -1853, -5, 0 in descending order.\nAnswer: 15, 0, -2\/17, -5, -1853","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -29.67.\nAnswer: 8.901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6901, 13832, 20763, 27694?\n\"Answer: 6931*l - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*v + 2*v + 0*v)*(4 - 6 - 3).\nAnswer: -50*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqqqqqq. Give prob of picking 4 q.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 50*z**2 + z. Let o be j(1). Let w = o + -18. Calculate the remainder when w is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/2*(-1 - 4). Let x be (171\/s)\/(2\/(-10)). Calculate the highest common divisor of x and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.11 and -2.\nAnswer: -1.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/((sqrt(81) + sqrt(81)*-3)\/sqrt(9)).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -1.2. Let s = 2.07 - -0.13. Let x = s + m. What is the closest to x in 4\/3, 3, -3\/7?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -6, 0.3 in descending order.\nAnswer: 0.3, -6, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 5*g - 10 = 0, i + 0*g + 2*g = -4. Sort 1, i, 5.\nAnswer: i, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21116099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (18 - 78) + 16 - -20\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003156 to 4 decimal places.\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0634 or 0.733?\nAnswer: -0.0634","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 154 and 15015.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13050 and 5625.\nAnswer: 326250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/407 and 50\/11.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 342527366 and 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1.392*0.11\nAnswer: -0.15312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 362 (b) -0.5 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r - 3. Suppose -4 = -2*a + 3*d, -2*a - 4*d + 29 = 11. Let y be p(a). Suppose 24 = y*l + 4*u, l - 7 - 8 = -5*u. Is 5 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 261\/56 - 35\/8. Let k = 6.4 + -6. What is the third smallest value in 4, k, v, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4170)\/360 + 12 - 2\/(-6). Let n(m) be the first derivative of 0*m - g*m**4 - 9*m**2 - 7*m**3 + 9. Suppose n(p) = 0. What is p?\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*o - 21*o = -12. Let t(h) = -h**2 - 2*h - 1. Let p be t(-2). Let l = 7\/2 - p. Which is smaller: o or l?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2\/7, -2.15, -2, 4 in increasing order.\nAnswer: -2.15, -2, -2\/7, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 286 and 84722.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1456 by 4.\nAnswer: -364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1987 + -1514. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n - 20*n - 702 + 707. Give f(4).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, 89, -13, -2 in ascending order.\nAnswer: -13, -2, -1\/6, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 36684*l + 2775. What is the ten thousands digit of t(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -171 + 249. Let y = g - 544\/7. Let l be ((-1)\/2)\/((-27)\/(-270)). What is the closest to 0 in y, l, 1\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 - 52?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -21*l**2 + 295*l - 288. Give m(13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 + (2 - 9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -11*o**5\/12 + 13*o**4\/3 + 28*o**3\/3 + 36. Let x(f) be the third derivative of b(f). What is the derivative of x(m) wrt m?\nAnswer: -110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(1100) - ((sqrt(1100) - (-1 + sqrt(1100) - sqrt(1100))) + sqrt(1100) + sqrt(1100))))**2.\nAnswer: 240*sqrt(11) + 4436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5\/174 + 2335\/522. Calculate the common denominator of 3 + -2 + 21\/(-5) and z.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/6 + 1)\/((-1)\/3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5476*z**2 + 1184*z - 64.\nAnswer: -4*(37*z - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.01, -1\/4, 302, 102, 0.041?\nAnswer: 302","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -55 - -1b?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 538*f**3 - f**2 + 15*f - 7. Is y(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-432)\/(-180))\/((-16)\/40)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.9 + 0.5. Let w = u + 1.4. Let q(m) = -6*m - 45. Let h be q(-8). Which is the nearest to -2? (a) 0 (b) w (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 839956750 to the nearest 100000.\nAnswer: 840000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 24906 (base 11) to base 16\nAnswer: 8b75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, w: 3, z: 4, d: 3, k: 2}. What is prob of sequence uwz?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2 + 2 + 5 - 3*j**2. Let m(h) be the second derivative of h**4\/3 - 7*h**2\/2 + 33*h. Give 7*c(i) + 5*m(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 0, 18?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.98892 nanometers in micrometers?\nAnswer: 0.02998892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, -6, -72, -212, -450, -810, -1316?\nAnswer: -1992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11*-10*17\/(-170).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.936 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(-15)*10\/1. Suppose -5*o + 45 + 55 = 0. Suppose r = 23 - o. Solve w + r*w = t for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3896, 3947, 4084, 4349, 4784, 5431, 6332, 7529?\nAnswer: 9064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 92\/(-161) + 5456\/336 + -15. Let z be (-3)\/2*64\/12. Let b be (2\/z)\/(6\/45). Is h >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 113 - 113. Solve g = -15*k + 14*k + 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1920238511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5549281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {c: 3, h: 9}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120510445 (base 6) to base 5.\nAnswer: -1040423322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 266635975.\nAnswer: 5, 107, 263, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5465.\nAnswer: 5, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1248 + 408 = -4*z. Let s be (2\/(-5))\/((-7)\/z). Suppose 0 = -s*d + 9*d + 66. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -87*r**3 - 5*r**2 + 18*r + 2720. Let v(c) = 130*c**3 + 8*c**2 - 28*c - 4079. Let g(k) = -8*q(k) - 5*v(k). Find the first derivative of g(o) wrt o.\nAnswer: 138*o**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 729*c - 1454*c + 730*c.\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.028 - -4.9. Let t = -0.06 - d. Let m = -4.068 + t. Which is smaller: m or 0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -380*o - 291*o = 23485 for o.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -605 + 609. Solve -1 = 5*h - 4*i + w, -5*h + 2*i - 15 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201947291891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -0.1. Suppose 108*b + 48 - 10 = 89*b. Let q = 0.04 - -1.96. What is the nearest to i in b, q, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*g**2 + 36*g**2 + 43*g - 65*g**2 - 1 in the form b + t*g**2 + z*g and give z.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 66 or 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**3 - 4345*l**2 + 8675*l - 4335.\nAnswer: 5*(l - 867)*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 409, 490, 611, 772, 973, 1214, 1495?\nAnswer: 1816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - 1. Suppose 2*d - 6 = -v - 15, 5*d = 5*v. Sort d, 4, n.\nAnswer: n, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342030 (base 5) in base 8?\nAnswer: 27554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-447)\/(-596))\/(2*(-1)\/(-104))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-2\/7)*n*n**15)\/(n*n\/(n\/(n*n**7\/n))*n**(-1\/2)*n) assuming n is positive.\nAnswer: n**(115\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 34\/5 of a tonne?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 2:59 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 141, -4, -2.\nAnswer: -4, -2, 141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133)*-5 - sqrt(133))*4 + sqrt(133))\/(3*(sqrt(700) + sqrt(7))).\nAnswer: -23*sqrt(19)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2615, 5232, 7859, 10502, 13167, 15860, 18587?\nAnswer: 21354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147368.\nAnswer: 2, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-6*7))\/(2\/16).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 5*k**2 - k + 5. Let z be s(-4). Let n = z + 18. Let o = -5 - -48. Calculate the remainder when o is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -644 + 712. Calculate the highest common divisor of p and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/1*56\/70?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, g: 1, c: 1, a: 1, y: 1, o: 1}. What is prob of sequence bb?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 408\/(-714) + 1180\/7 and 2352?\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 714 + -712. Which is smaller: 28\/15 or h?\nAnswer: 28\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 207354.\nAnswer: 2, 3, 7, 4937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 10:20 PM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1636 + -281. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4056 by 13.\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 92*f**2 + 5 - 1 - 89*f**2 - 3*f + 6*f - 2*f. Let a(k) = -6*k**2 - 2*k - 7. Calculate -6*a(o) - 11*l(o).\nAnswer: 3*o**2 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + 10\/(-6) + (-25)\/(-15). Suppose j*k + 72*p = 69*p + 228, 0 = 3*k + 5*p - 224. What is the remainder when k is divided by 41?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**2 - 3*v - 3. Let u be k(2). What is the third biggest value in 3, u, -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1013 + -1010. Solve -p*m + 2*d = -17, -11 = -m + 2*d - 0*d for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3046, -154, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -773.000001072 - -773. What is t rounded to seven dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + -4 + 15 - (-15 + (7 - 12)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**2 + 2*w**2 + w**2)*(0 + 4 - 3) + (-3*w - 4*w - w)*(0*w + 0*w - 9*w).\nAnswer: 75*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-4) + (-115)\/(-20). Let z = o + 79. Let -2*s**4 - 6*s - s**4 - 82 + z + 6*s**3 = 0. What is s?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -815, -3177, -6959, -12035, -18279, -25565, -33767?\nAnswer: -42759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6917 + 10906. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.02 - -18.02. Let i = 17.999955 - o. Round i to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 12) in base 3?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*2*(2 + (sqrt(2499) - (sqrt(2499) + sqrt(2499)*2)*-2)\/(-3*(sqrt(192) + (sqrt(192)*-1 - sqrt(192) - sqrt(192)))))**2.\nAnswer: -50033\/384 - 49*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15210635 - 10?\nAnswer: 15210625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -9.62 + -161777\nAnswer: -161786.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2428?\nAnswer: 2, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 17*h - 514. Let r be g(31). Suppose 2*f + 0*f = 24. Is f at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 144 and 17496?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kiunakri. Give prob of picking 2 i and 1 a.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 - 1)*(1 - 1 - 2) - 5 + 1 + 1 + (0 + 3 - 1)*(-4 + 2 + 1))*((45 - 6 + 3)*(-5 + 1 + 1) + 5 - 2 - 2)*(0*y + y + 4*y).\nAnswer: 625*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 7269175230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13.8 - 126.\nAnswer: -112.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50255 and 1245?\nAnswer: 12513495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 e when two letters picked without replacement from ooodoeoxsee.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 45156.1788 rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/24726 and -30\/91?\nAnswer: 173082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of k**2\/2 - 8. Let h(t) be the first derivative of 5*t**3\/3 + 3. Determine h(f(s)).\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5b - 110?\nAnswer: -16b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7 (b) -8 (c) -2 (d) 2 (e) 3.6 (f) -22 (g) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2792217 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/(-3) + 5\/15. Suppose 6*l + 31 = 5*l + w*f, 0 = 3*l - 4*f + 87. What is l rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5178840 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(3\/1)*(-7)\/((-11900)\/68).\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.054 - 0.264. Let x = 0.32 + r. Let d = x + -0.10918. Round d to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3*n**2 - 52. Give p(0).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 14, 41, 80, 131, 194, 269?\nAnswer: 356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147*o = 139*o + 416. Suppose 55 = j + 3*l, -3*l - 5 = -8*l. Let f(q) = j - 2*q - o. Let w(u) = -u**2. Determine f(w(s)).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -95783\/15 + 6381. Calculate the common denominator of a and (13340\/2070)\/((-40)\/(-18)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 5*g**2. Let l(z) = 4*z + 30. Give c(l(o)).\nAnswer: 80*o**2 + 1200*o + 4500","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 7, 39, 81, 133?\n\"Answer: 5*v**2 + 17*v - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15077625.2 rounded to the nearest one hundred thousand?\nAnswer: 15100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 87*x**2 + 11*x - 7. Let t(n) = -43*n**2 - 5*n + 3. Let w(u) = -5*t(u) - 2*y(u). Is w(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -391*x + 97 + 382*x - 101.\nAnswer: -9*x - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 807814 + -522963. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 k when two letters picked without replacement from thhkkkkkh.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, g: 2}. What is prob of picking 1 v and 2 g?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -23 (b) -670 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7\/5167062 or -1?\nAnswer: 7\/5167062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*-7*6\/(-70).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 23 = -g + 19, 2*l + g + 90 = 0. Calculate the remainder when (-2 - l)*(-2 - -3) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -68 - -76. Suppose -2*l = 2*d - 14, -3*d - 19 = -5*d + 3*l. What is the highest common divisor of d and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o**3\/3 + 118*o**2\/3 + 224*o\/3 - 928\/3 = 0. Calculate o.\nAnswer: -116, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7429*t**3 - 15972*t**2 - 297437179 wrt t.\nAnswer: 22287*t**2 - 31944*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 4*y + 3. Suppose 4 = -3*n + 2*q + 5, -q = -1. Let r = n - 5. Sort y, r, -3.\nAnswer: r, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 24, 46, 68?\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4*d + 3. Let v be t(-4). Let j = v + 27. Calculate the common denominator of j\/(-4)*(-5)\/4 and -36\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-7)*(-2 + 1). Suppose 5*z - z + 36 = 0. Let j be ((-6)\/(-21))\/((-6)\/z). What is the second smallest value in j, v, -0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s**3 - 4*s**3 + 2*s**3 + (4*s**2 - s**2 - s**2)*(-2*s + 0*s + 4*s) + 9*s**3 - 22*s**3 - 13*s**3 to w*s**3 + d*s**2 + k*s + o and give w.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/39? (a) 2\/5 (b) -1 (c) -345421\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 9:37 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5964\/(-48))\/((-2)\/(-16)*2). Let m be s\/(-142) + (1\/2)\/(-1). Solve n + 2 = -m for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3255 and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 71286557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 8610693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + -13. Let l = 54 + -54.3. What is the nearest to -1 in l, 0.5, h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**2 + 74*h + 5037. Calculate w(-35).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -21, -24, -19, 0?\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(4\/3)\/(t*t*t\/((t**(-18)*t)\/t)*t))\/(t**(-2)*t)**41 assuming t is positive.\nAnswer: t**(61\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -0*o - 35. Let j be (-7)\/o + (-239)\/(-5). Suppose 7*f - j = 6*f. Is 7 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - s)*(3*s - 2*s - 2*s) + s**2 + s**2 - s**2)*(7*s - 8*s + 5*s) - 2*s**3 - s**3 + s**3 + 38*s**3 - 12*s**3 + 5*s**3.\nAnswer: 37*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/6*-9 + 2. Let q = 2 + v. Is (3\/q)\/(8\/(-176)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**5 + 6608*z**4 - 146150*z**3 + 645772*z**2 + 1756416*z + 957888 = 0.\nAnswer: -3326, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 309 + -296. Suppose 11 = 3*y - d. Suppose 20 = -7*m + 2*m. Sort m, y, 1 in decreasing order.\nAnswer: y, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50911*c = -52104*c + 89475 for c.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**2 + 4*o. Let u be w(-3). Suppose 8*h - 830 = u*h. Suppose 3*j + 64 - h = -3*c, j + 111 = c. Is 19 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 1184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8.4 and 35612.3.\nAnswer: -299143.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 4 = 19, -3*u + 51 = 4*h. Put 3, h, 4, 5 in increasing order.\nAnswer: 3, 4, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 517365+-32079.46\nAnswer: 485285.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express b**4 + 2*b + 2 + 23*b**3 - 3*b**4 + 8*b**3 - 57*b**3 as h + o*b + a*b**2 + m*b**3 + i*b**4 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - 3*i - 5*i + 2*i - 35*i + 16*i - 3*i + i + 3*i + 0*i + 0*i + 2*i + (-1 + 2 + 1)*(6*i + i - 5*i))*(i**2 - 7*i**2 - i**2).\nAnswer: 105*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 918072*v**2 - 918072*v**2 - 1 - 16*v**3 + 1.\nAnswer: -16*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -1253*c - 472*c - 1225*c - 1132*c + 981*c in the form b*c + o and give b.\nAnswer: -3101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4085791618?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4428)\/1722)\/((-17)\/(-28) + 9\/(-12))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(((-4)\/40)\/(8\/20))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o + 10*o = 2*a - 16, 5*a - 34 = -3*o. Solve -4*v = -o*i - 35, -5*v + i + 0*i + 30 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 17841 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -16\/25, -23, -0.39, -8?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1094b8b (base 12) in base 8?\nAnswer: -14105233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 - 8*x - 8. Let o be m(-11). Let t = o - -44. Solve u - 9 = 4*y - 0, t = 3*u for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2839 - -2830.356. Round s to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1115038.\nAnswer: 2, 557519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15208 + -15073. Calculate the least common multiple of 1215 and v.\nAnswer: 1215","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.96 - -2234\nAnswer: 2229.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-459 + 1003 - 257)*(3*u + 0*u - 4*u) to w + v*u and give v.\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11.842 + -0.158. Let t = -10 - g. What is the third smallest value in 1\/5, 0, t, 0.1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (19\/(-1064))\/(1\/(-214)) and 151\/48.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 176533234?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9\/4 in 7\/12, 834, -40?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/78)\/((-117)\/(-27) - 8)?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -30272*h + 121159. Determine y(4).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 2*z - 2*l, 2*l - 170 = -z - 177 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -183354, -183192, -183030, -182868?\n\"Answer: 162*n - 183516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 295*f**2 - 15*f - 41. Is i(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7038, 27932, 62750, 111492, 174158, 250748?\nAnswer: 341262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of -n**7\/168 + n**6\/180 + n**3\/6 - n. Let p(q) be the second derivative of a(q). Find the third derivative of p(x) wrt x.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -2*d + 5*j, -15 = 57*d - 62*d - 5*j for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -220112 - 2?\nAnswer: -220120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 5 - 5)*(-5*b**2 - 2*b**2 + 4*b**2 - 5*b**2 + 3*b**2 + b**2 + (b - 3 + 3)*(0*b + b - 2*b)).\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -2*s + h + 185, -5*s = 4*h - 185. Let v be 16\/(-12) + (-118)\/6. Let f = s + v. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 4. Suppose t + 1 = -2*f - 0*f, 3*t = -3*f + 6. Suppose r*k = t*d + 15, -2*d + 4*d + 2*k - 12 = 0. Solve -d = -2*h + 3 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -38 (b) -0.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6937a8 (base 11) in base 3?\nAnswer: 2002001002002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*3\/(-6)*-3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 + 58\/10)\/(12 + (-1495)\/125).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32179 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 102837, 8, 4 in ascending order.\nAnswer: 4, 8, 102837","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.5 + -6. Let s = 19 - 11. Let p = s - 7.7. What is the nearest to 2 in t, p, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 962 and 8954?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 0. Suppose k = m, 0*q + 5*k = -4*q + 21. What is the remainder when 10 is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50 and 640?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.73 and 1.82113.\nAnswer: 2.55113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -3*j - 3*n, 207*n - 205*n - 14 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 23*g + 20. Let x(q) = -45*q - 44. What is 6*x(z) + 11*y(z)?\nAnswer: -17*z - 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 240021953 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b580 (base 15) to base 9.\nAnswer: 232463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a**3 - a**2 - 1. Let n(w) = 30*w**3 - 6*w**2 - 112*w - 3. What is -4*f(i) + n(i)?\nAnswer: 18*i**3 - 2*i**2 - 112*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 156 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/(-60)*1850\/1665.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -q**4\/3 + 5195*q**3\/3 - 160019*q**2\/3 - 335627*q\/3 - 56804 = 0.\nAnswer: -1, 33, 5164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, j: 3, o: 1, q: 2}. What is prob of picking 1 q and 1 o?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -26379700 to the nearest 100000.\nAnswer: -26400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*1 + 13 + -8. Suppose -j*q + 16 - 4 = 0. Let l be (-4)\/(q + (-284)\/96). Round l to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d = -3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64 and 3891728?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63.51248ml to litres.\nAnswer: 0.06351248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 - 2*r + 53. What is z(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5ad050 (base 14) in base 9?\nAnswer: -5757688","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 59947 or 59956?\nAnswer: 59947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3*v - 5*y = -9133, -2*y + 10 = 0. Suppose -9033 + v = -6*u. What are the prime factors of u?\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y**(-1\/2)\/y*y))\/y)\/(y**(-17)*y)*(y**(2\/5))**(-5) assuming y is positive.\nAnswer: y**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a century in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-44)\/(-4) + (5 - -5). Let v be -182*2\/((-16)\/12). Calculate the highest common divisor of q and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3615 - -303?\nAnswer: 3918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-9 - -10 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0*f)**(-43)*(f\/(f*f**7))\/f**1 assuming f is positive.\nAnswer: f**(-51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 72767 and 95.7685.\nAnswer: 72862.7685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of 10*t**2 + 2815. Let v(p) = -2*p**2 - 254*p. Determine v(f(o)).\nAnswer: -800*o**2 - 5080*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -323 = -115*l + 557 + 2340 for l.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 + 11*t - 6. Let h be 6*1 + (-5 - -8). Let g be l(h). Solve 2*q + 5*y - 8 = 0, 3*q - g = 2*y + y for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/18 + 16165\/1425 + -12\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04? (a) 3 (b) 75 (c) 1 (d) -6 (e) 889 (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/10 of a millimeter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16\/(-20)*7\/((-98)\/(-35)). Which is greater: 21 or b?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + 17*h + 1. Let j be g(-17). Let b(x) = 167*x + 2. Calculate the remainder when b(j) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_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: Which is bigger: 1482 or 1481?\nAnswer: 1482","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) 3 (b) 5 (c) 4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 592 + 1750 = 233*l - 3292 - 1356 for l.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6772247.246499 - -6.753501. Let m = q + -6772252.4000116. Let z = m + -1.6. Round z to six dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 + -12. Suppose 5*a = 5, -a = 2*w - 4*w + 3. Suppose 0*k + 2*k = -3*l + w, k - 4 = -3*l. Solve 2*g = -l*b + 2, 0 = j*g - b - 4*b - 35 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.41 (b) 0.1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.1887 - 0.069\nAnswer: 0.1197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + 46\/40 + 9\/15. Let x = -2 - -1.9. Which is the second smallest value? (a) z (b) x (c) -0.05 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1497966 is divided by 299592.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/167 and -9\/11356.\nAnswer: 11356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 40\/630 + 4\/(-14). Which is the third biggest value? (a) -3 (b) n (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1012.60358 + -151.\nAnswer: -1163.60358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 27*j**3 + 2*j**2 + 2*j - 731. Let f(u) = -92*u**3 - 6*u**2 - 6*u + 2193. Determine 2*f(v) + 7*m(v).\nAnswer: 5*v**3 + 2*v**2 + 2*v - 731","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 2*l - 51. Find the first derivative of 2*m + m + 5*m - l + 9*m wrt m.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 7. Let v(x) = 3 - x - g + 1. Let i(o) = o**2. Calculate v(i(f)).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 1)\/((-4)\/(-2)). Let g(u) = u**3 - 4*u**2 - 12*u + 30. Let a be -1*(3 + 16\/(-2)). Let p be g(a). Sort 1, 9, d, p in decreasing order.\nAnswer: 9, 1, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11927 - 5212. List the prime factors of k.\nAnswer: 5, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1998350679 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 4*r**2. Let i(d) = -227*d**2. Calculate t(i(a)).\nAnswer: 206116*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**3 - 3*g**2 + g + 2. Let b be q(-2). Suppose -b*w = -w - 36. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -25666099 and -11.23182.\nAnswer: -25666110.23182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 z when two letters picked without replacement from zuzzlzzzzzz.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 297.8 + -374. Let m = 76 + k. Put 1\/8, m, 0, -1\/3 in descending order.\nAnswer: 1\/8, 0, m, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.164 * -9.14.\nAnswer: -1.49896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 23*z**2 + 1342*z - 21086. Give w(17).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4773a (base 13) in base 16?\nAnswer: 1ff27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 11:53 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 9:50 AM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -f - 3. Let l = 1 + f. Solve -3*c = -l*u - u - 12, -3*u = -c - 4 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, u: 5}. What is prob of sequence bb?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**3 - 7*o**3 + 11*o**3 + 3*o**3.\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8\/3 of a hour?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + t**2. Let j(w) = 10*w**5 + 5*w**4 - 10*w**3 + 5*w. Let b(v) = -5*g(v) + j(v). What is x in b(x) = 0?\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -0.1 (b) -43 (c) 0.04 (d) -3 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2398476 smaller than 2398464?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y**2 + 2682*y + 30. Let r(s) = s**2 + 895*s + 9. What is -10*r(w) + 3*z(w)?\nAnswer: -w**2 - 904*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -14323 (base 5) in base 4?\nAnswer: -102331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + (-32)\/(-14) + 0. Let y = -8.1 - -8. Sort l, 2\/9, y in increasing order.\nAnswer: y, 2\/9, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 84 - 74. Let b(g) = -g**3 + 11*g**2 + 3*g - 25. What are the prime factors of b(t)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 i when three letters picked without replacement from ttiittzztheeh?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 1 - 4\/8)*0. Let s(a) = -9*a + 1. Let u(v) = -37*v + 5. Let p(k) = 9*s(k) - 2*u(k). Let w be p(-1). Solve g = -y + w - 1 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + 7. Suppose -4*n - n = -4*g - 1, -5*g + u = 5*n. Which is smaller: -3 or g?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1175 and 219020?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -3\/2, 1629, 35 in increasing order.\nAnswer: -3\/2, 0.4, 35, 1629","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 234 divided by -6.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -514 - -477.6. Let q = w - -37.4. What is the closest to -0.9 in q, -5, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + f - 15, -3*w + 5*f - 6 = -35. Let y be 65\/20*w\/(-2). Let n = 26 + y. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-42)\/8)\/((-6)\/(-16)). Let v = -3 - r. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 3*m - 114, 2*l - 2*m = 3*l - 33. Let h = l - 42. Which is greater: -1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 4*y**5 + 50*y**4 + 801*y**3\/4 + 283*y**2 + 107*y + 12 = 0.\nAnswer: -6, -4, -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197705 is divided by 787?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 34374486 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 19 = 3*i, 4*i - 2*k - 6 + 2 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -406*r - 411*r - 379*r + 86110 = -75350 for r.\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + q**2 + q - 1. Let k(a) = 6*a**3 + 5*a**2 + 5*a - 4. Let t(h) = h**2 + h. Let j be t(-5). Suppose s - 5*s = -j. Determine s*v(z) - k(z).\nAnswer: -z**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -6*u**3 + 5*u**2 + 4*u. Let n(o) = 5*o**3 - 4*o**2 - 3*o. Let i = -20 - -16. Give i*n(g) - 3*p(g).\nAnswer: -2*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -22\/9 in decreasing order.\nAnswer: 3, -2, -22\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/5, -5, -102, 1, -4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 1\/7, -2, 4 in ascending order.\nAnswer: -2, -0.4, 1\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8041672.889 rounded to the nearest one hundred?\nAnswer: 8041700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27336330 to the nearest integer?\nAnswer: 5228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**3 + w**3 + 0*w**3 + (-2*w**2 - 2*w**2 + 2*w**2)*(w + w + 0*w) + 2*w**2 - 3*w**3 - 2*w**2.\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1666 is divided by 39.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wmmg when four letters picked without replacement from mwgmyy.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 34407, 34468, 34529?\n\"Answer: 61*m + 34346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 3*w + 4*q - 7*q, 5*w - 130 + 261 - 137 = -3*q for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-96)\/(-8)*10\/150.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 + 4. Calculate o(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-525808 + 525808 + 4556*y)*(0*y + 2*y + 0*y)*(-5*y + 3*y + y).\nAnswer: -9112*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 30586412 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 6*d**2 + 4*d + 7. Give i(-6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*s = -29*s + 152*s + 149*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 91 - 98 - (-11 - -1 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x**2 - 96*x = 0. Calculate x.\nAnswer: -24, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (110\/132*99\/30)\/((-1)\/4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 3:56 AM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of 5\/3*v**4 + 0*v**2 + 0*v**3 + 27*v + 0 + 3\/4*v**5. What is the third derivative of h(m) wrt m?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((21\/(-7))\/9)\/((-6)\/360*2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gldd when four letters picked without replacement from {b: 2, l: 1, g: 6, f: 7, d: 3}.\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6856127477?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than 679719?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((34 - 19) + (-1 - 4)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**5 - 73*w**4 + 2187*w**3 - 2039*w**2 - 2186*w + 2112 = 0. Calculate w.\nAnswer: -96, -1, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 3:00 AM?\nAnswer: 2:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 253884 (base 10) to base 6\nAnswer: 5235220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 466052 (base 7) in base 3?\nAnswer: 11020212002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + -1103103101?\nAnswer: -1103103064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-34 - 34 + 12)*(-6*n + 0*n + 4*n) in the form a + w*n and give w.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - 9. Let a = 37 + -32. Let k be (3\/a)\/((-21)\/(-105)). Solve 3*t + r*f - 11 = 4*f, -5*t = k*f - 17 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 8, 0, 63, -3 in decreasing order.\nAnswer: 63, 8, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 7:50 AM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 16351 (base 9) in base 10?\nAnswer: 11224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/11)*v**(-1\/8)\/v)**23)**2 assuming v is positive.\nAnswer: v**(-2093\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 225700 and 15497450?\nAnswer: 1850","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 967411.7 meters?\nAnswer: 967.4117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 409*x**2 + 1103*x - 359. Give l(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15553 - 108869\/7. Which is greater: i or 7\/197?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmccmmnclmlmlccm. Give prob of picking 2 l, 1 n, and 1 c.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 144 + 7587. What is the hundreds digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11885 rounded to the nearest one hundred?\nAnswer: 11900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 4:09 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p + 58*p - 132 = 0. Which is the closest to -1? (a) 9\/2 (b) 0.2 (c) 1\/2 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 257b89 (base 13) in base 12?\nAnswer: 376506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -4*r + 12. Suppose 3*z + 0*c = -c + 121, 0 = r*c + 8. Let t = 45 - z. Solve w + t*m + 14 = 0, 2*w - 4*m = m + 11 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 11)*(3*y**2 + 2*y**2 - 3*y**2)*(1480 - 52*y - 1480).\nAnswer: 936*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 143 + -63. Suppose -2*a - 3*z + 2*z + 40 = 0, 4*a - 2*z - q = 0. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*j + 1 - 1)*(-502 - 10*j + 502) + (-8 + 8 - 15*j)*(2*j - 2*j - 2*j) + (-3*j + 4*j + 2*j)*(4*j - 2*j - 3*j) to o*j**2 + k*j + f and give o.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 6*r - 14. Let x be i(8). Suppose 0 = -3*a - 3*w - 3, a - 3*a = -x*w - 14. Solve 2*z + l = -3, -4*l = z - 12 + a for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*x**2)*(-8*x**2 + 6*x**2 - 8*x**2) + 25*x**2 - 12*x**2 - 13*x**2 - x - 172*x**4.\nAnswer: -152*x**4 - x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 101, 380, 853, 1526, 2405, 3496, 4805?\n\"Answer: v**3 + 91*v**2 - v + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 997038 = 5*g - 8*g. Suppose z + 2*z - 384692 = 2*s, 0 = -z. Let j = s - g. What is j rounded to the nearest 10000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-2)*(-108)\/(-90)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 1:18 AM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 65b4 (base 12) to base 13\nAnswer: 5155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1969 - 1959. Let l = -15 - -26. Which is smaller: l or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0117, 1, 2\/19, -0.1 in decreasing order.\nAnswer: 1, 2\/19, -0.0117, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(3\/2))**(-50)*(s\/((s\/s**(-2))\/s))**45 assuming s is positive.\nAnswer: s**(-120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000051751756 to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**2 + 2*d**2 + 132032 - 132032.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135*u - 105*u = 33120. List the prime factors of u.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10825 + 17.87\nAnswer: -10807.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z. Suppose -3 - 7 = -2*k. Let u(r) = 4 - k + 1 + 6*r. Calculate u(a(j)).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of -x**4\/12 + 11*x**3\/6 - 9*x**2\/2 - 5*x. Let o be 6\/(-4)*64\/(-12). Does 15 divide d(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 + 7*k + 6. Let j be (-1 - -2 - -15)*2. Suppose -4*w + j = 4. Calculate the least common multiple of w and c(-7).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -7*j**2 - 3*j - 28. Let v(d) = -d**2 - d - 1. Let l(x) = -x**2 - 5*x - 5. Let c be l(-1). Let a(o) = c*f(o) + 6*v(o). Is a(6) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -11 + 0 + -7 - -27. Solve -n + t = 2*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by -1907\nAnswer: 11\/1907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 100000111011?\nAnswer: -100000111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 9 - 113 = -2*b, 4*x = -5*b + 260. Suppose 2*a - b = -10. Let p be 54000*7\/(a\/(-100)). Round p to the nearest 100000.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 12, p: 1, r: 1, m: 5}. What is prob of sequence mp?\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -4*u**2 + 7*u + 9. Let z(f) = 1 - 7 - 3*f**2 + 6*f**2 - 5*f. Give 5*b(h) + 7*z(h).\nAnswer: h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/((-25)\/((-350)\/(-252))))\/(20\/70)?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h\/(h\/h**(6\/7))))\/h**(2\/31)*h**(3\/2)*h*h**4 assuming h is positive.\nAnswer: h**(3289\/434)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4865583, -4865549, -4865513, -4865475?\nAnswer: -4865435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 6*i**2 - 2*i + 10. Let y be x(-5). Let h(p) = 3*p**2 - 4*p + 5. Is h(y) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 9.884311s?\nAnswer: 9884311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - x + 3*x + 1, 3*n + x = 24. Calculate the lowest common multiple of n and 3\/(-21) + 171\/21.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 98 - -27. Is g a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1159\/9 - -129. Let n(g) = -g**3 + 7*g**2 - g + 16. Suppose -5*o + z + 0 = -36, 15 = 2*o - z. Let p be n(o). Are p and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/(-350))\/(((-45)\/(-8))\/(873\/(-582)))?\nAnswer: 2\/125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 79 = -2*r, 2*r - 2*w - w - 91 = 0. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 11:01 AM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7822191?\nAnswer: 3, 13, 200569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -127?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-2))\/((-15)\/360). Let f(b) = -6*b - 16. Let h be f(-5). Let a be h\/49*(-1)\/v. Which is smaller: -1 or a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 723 by -723.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - o**2 - 1. Let d = 2135 - 2133. Let q(f) = 4*f**3 + f**2 + f + 2. What is d*p(h) + q(h)?\nAnswer: 2*h**3 - h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + n - 2*z + 22 = 0, -1 = -2*n - 3*z. Let m be ((-1)\/2)\/(2\/n). Let k = m + 4. Solve 4*f = k + 18 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 41\/(-5) + (-3)\/(-15). Let g = w + 13. Solve 0 = 5*f + 20 + g for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 130*g**6 + g**4 + 151*g**2?\nAnswer: 15600*g**3 + 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 e when four letters picked without replacement from eeeewewwegdddgs.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.469 - -0.47. Let w = z - -0.099. Let k = 0.6 - -0.4. What is the nearest to k in -0.5, -3\/4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**2 - u**2 - 4*u**2)*(2*u**2 - u - 75*u - 1 + 23*u).\nAnswer: -4*u**4 + 106*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 0.498\nAnswer: 0.249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 302*d**2 - 7*d + 21*d - 306*d**2. Let i be (-10)\/45 + 632\/9. Let t(w) = -w. Let b(u) = i*t(u) + 5*x(u). Let a(p) = -p. Determine b(a(y)).\nAnswer: -20*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uru when three letters picked without replacement from {u: 7, r: 3}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6666230623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -3645639*a**2. Let n(w) = 15*w. Give s(n(z)).\nAnswer: -820268775*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 456 and 13288372?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 - 5810.765.\nAnswer: -5756.765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 404 and 669832.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -53 in 4, 7.9, -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -78\/11 in 3, -22\/9, 3\/5, -0.2?\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 5*s - 2192, 5*v - 1747 = -5*s + s. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 12 = 7. Calculate the remainder when 8 is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o. Let y = 10 - 8. Suppose -6 = 4*f - 5*c, 2 = -0*f - 2*f + y*c. Calculate z(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6295.69 rounded to the nearest ten?\nAnswer: -6300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/5, -3.2, -2\/17, -2, 0.155?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iy when two letters picked without replacement from {u: 2, y: 1, s: 1, i: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -1 - (-67 + 9 - -39).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*h**3 + 107*h + 20*h**3 - 107*h.\nAnswer: 29*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -741 + 1378. Calculate the highest common divisor of z and 98.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -14321?\nAnswer: 14322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 7*w - 3*p + 411 = 0, -3*w + 407 = 2*p. Suppose -2*x = -3*g + 360, g - 4*x - w = x. What are the prime factors of g?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 243*t - 239*t + 12 = -4*b, 0 = -3*b + 2*t + 6. Solve 11*j - 14*j - 6 = b for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u*(u*u**(-3))\/u)*u)**41*u**(3\/4)\/(u\/u**16*u) assuming u is positive.\nAnswer: u**(879\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 3 - -2 - 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - (1 + 3)) + -53. Let b = 59 - z. What are the prime factors of b?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 7*f + 6. Let s be o(-5). Let m(j) = j**2 - 13*j - 9. Let w be m(15). Let x = -275\/13 + w. What is the fourth biggest value in s, 2\/13, x, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -1. Let s = -27 - -32. What is the second biggest value in y, s, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 2, m: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -10. Let u be (-2)\/(1 + g)*6. Suppose -4*z + 19 = u*w, -2*z - 1 = -5*w - 4. Is -2\/13 < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 9*y**2 + 10*y - 7. Let i be h(6). Suppose 4*z - 2*b = 234, -5*z = -0*b + 4*b - 286. Let o = z - i. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 19\/4 of a gram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4040 - -4038. Let r = 3 - 6. Sort q, r, 0, -5.\nAnswer: -5, r, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 785857 to the nearest integer?\nAnswer: 886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -1582*b + 515700. Give r(326).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1480638?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/22 and -95\/146.\nAnswer: 1606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffsglgsflffgfffs. Give prob of sequence sgsg.\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.014 + -2.014. Let z = -122\/3 + 40. What is the nearest to z in q, -3, 4\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -610*n**2*w**3 + n*w - 57*w**3 wrt n?\nAnswer: -1220*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 2*sqrt(304)*-2)**2*-2.\nAnswer: -9728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7\/((-294)\/72))\/(2\/(-889)). Let o be 3\/(-6) + g\/4. Suppose 110 = 5*j - o. List the prime factors of j.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 31 - 97)*(2*w**2 - w + w) + (-4*w + 6*w + 4*w)*(-w + 3 - 3) to the form m + h*w**2 + v*w and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 389 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 178.4? (a) -1\/2 (b) 3 (c) 77 (d) 0.4 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of w**6\/90 - 2*w**3 - 11. Let a(x) be the third derivative of z(x). Let c(m) = m**2. What is a(c(f))?\nAnswer: 4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12719 is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39218261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/28 of a week?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {y: 5, w: 11, c: 1}?\nAnswer: 33\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 11:20 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 1136100 to the nearest 10000.\nAnswer: 1140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1548?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/14)*s)\/(((s\/(s*s**14))\/s)\/s))**(-14\/3) assuming s is positive.\nAnswer: s**(-79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1576 = -57*z - 19*z - 20 for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -425 - -542. Suppose 115 = -2*v - 5*p, -4*v - 68 = -5*p + t. Do v and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -80 - -52. Let j = -4 - c. Let s(q) = -2*q**3 - 4*q**2 - 13*q + 1. Let v be s(-5). What is the greatest common factor of j and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/11*v**2 + 126\/11 + 48\/11*v.\nAnswer: 2*(v + 3)*(v + 21)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5259840 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 10 - -8) + (-4 - -14).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n + n + 6*n + 0*n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 73, 75, 81, 91, 105, 123, 145?\n\"Answer: 2*i**2 - 4*i + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -33*s + 114. Let i(r) = -r**3 + 6*r**2 + 4*r - 18. Let k be i(s). Solve -8*f = -k*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 549?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 971315002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*p**4 + 415*p - 3 - 6*p**3 - 2*p**4 - 413*p in the form f + b*p**3 + g*p**4 + j*p + m*p**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -3*c**4 - 90*c**3 - 309*c**2 + 90*c + 312 = 0.\nAnswer: -26, -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5964 and 7455?\nAnswer: 29820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-14)*21\/6)\/(-6).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -415 (base 16) in base 4?\nAnswer: -100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ctfqmmc. Give prob of picking 1 q and 1 t.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -537 + -d?\nAnswer: -544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/17316 and 31\/1336218.\nAnswer: 8017308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-9))**8 assuming x is positive.\nAnswer: x**(-72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -573, -49, 1, 2 in descending order.\nAnswer: 2, 1, -3, -49, -573","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1426396694.\nAnswer: 2, 37, 520963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -4. Suppose 3*f = 5*m - 2*f, -f = 4*m + h. Let y be (1 - m)*(-33)\/(-6). Calculate the greatest common factor of 44 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*a - 0*a. Suppose 7 = -5*g + a*m + 82, -5*g + m + 65 = 0. Suppose 2*x + g = -2*x. Is -2 equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11452471 + -12?\nAnswer: 11452457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 40361454 to the power of 1\/3, to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 83 = -73 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -6*a**2 + 14*a + 216. Let v be o(-12). Let r = 816 + v. Solve 0 = 2*y - r + 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -5*s**4\/12 + 5*s**3\/3 + 15*s**2\/2 - 239*s. Suppose g(p) = 0. What is p?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 0.4, -1155 in decreasing order.\nAnswer: 0.4, 2\/7, -1155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a decade in years?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 0. Suppose -3*d + 13 + 2 = 0. Let m(a) = -7*a - 6. Let p(v) = 15*v + 13. Let f(z) = d*m(z) + l*p(z). Differentiate f(o) wrt o.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25330, -25467, -25694, -26011, -26418, -26915, -27502?\nAnswer: -28179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 9*f - 1. Let y(j) = -8*j - 14. Calculate 2*s(z) + y(z).\nAnswer: 10*z - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-27)\/180 + 4\/10. Factor 1\/2*u + 0 - d*u**2.\nAnswer: -u*(u - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56477.091 take away -0.4?\nAnswer: -56476.691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.00108 - -3. Round t to 4 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1639122*b**2*j**3 - 5*b**2 - 103*b*j**2 + 2*b*j - 39*b - 14*j**2 wrt j.\nAnswer: -9834732*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -17*r + r + 162, 35*n + 18 = 39*n + r for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 54743 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-15))\/((-14)\/5).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*g**2 - 241*g**2 - 275*g**2.\nAnswer: -551*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005939 to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13.965575082 - -1.\nAnswer: -12.965575082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2 (b) -1 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a century in months?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**4\/9 + 14*h**3\/9 - 16*h**2\/9 - 32*h\/9 = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*b**3 - b - 118*b**3 + 56*b**3 + b.\nAnswer: -25*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -10, 41, 154, 353, 662?\n\"Answer: 4*p**3 + 7*p**2 + 2*p - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 222 a factor of 29834543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12.96496527 + 12.965. Round x to six decimal places.\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -5314?\nAnswer: -5306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -1994 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 0, 43, 4 in ascending order.\nAnswer: -3, -1, 0, 4, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4*f**2 + 6*f + 3. Let m(t) = 3*t**2 + 5*t + 4. Calculate 6*m(b) - 5*n(b).\nAnswer: -2*b**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3 - 13 + v + 5*v. Let d be s(5). Let i = 20 - d. Solve 0 = 3*l + 5*m - 3, 3*m = -i*m for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*o**2 + 13*o**2 + 3*o**2 + 12*o**2 + 4*o**2.\nAnswer: 11*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-69)\/230*32\/24)\/(2\/(-150))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -3. Let j(v) = -4*v**2 + 10*v**2 - 23*v**h. Let i(n) = n. What is i(j(d))?\nAnswer: -17*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cpp. Give prob of sequence cp.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 39 in 5, -0.1, 1\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -7964\/115 > -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 19 = 2*c - o, -5*o + 25 = 0. Sort 109, 0, c in decreasing order.\nAnswer: 109, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 24\/13 (b) -4 (c) -138 (d) -0.1 (e) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11335411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/(-8))\/((-4)\/1)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83510 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 10:28 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 4)*(-3*y**2 + 8*y**2 + 0*y**2) + (-11 + 11 + 11*y**2)*(1 - 3 + 1).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 12*h**2 + 4*h + 3. What is the units digit of r(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y - 7. Let u be z(14). Calculate the greatest common divisor of u and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 + 28671*y + 28662*y - 86051*y + y**3 + 28718*y.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 80 (b) 0 (c) -33644 (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -9, 508242, -3, -5, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 589\/4 + -147. Find r, given that 0*r - 1\/4*r**2 - 1\/2*r**3 - x*r**4 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10 - 690405?\nAnswer: -6903c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 6*(sqrt(245) - (sqrt(245) + 2*sqrt(245) + sqrt(245) + 3)))**2 + -2.\nAnswer: 3528*sqrt(5) + 79574","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8735\/6 - 1455. Sort d, -5, 1.8 in descending order.\nAnswer: 1.8, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1354790072.\nAnswer: 2, 169348759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by -20.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 11*k**2 - 10*k + 2. Let r = 109 - 77. Let q = 22 - r. Is 2 a factor of u(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*t + 16 + 8. Suppose -i - 12 = t*k + 5, -4*i - k = -7. Suppose -r + a + 875 = 0, -i*r - a + 241 + 2368 = 0. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1052914.39 to the nearest ten thousand.\nAnswer: 1050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3057, -6071, -9095, -12135, -15197?\n\"Answer: -a**3 + a**2 - 3010*a - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5911 + 70867\/12. Let q = -1396818 + 30735495\/22. Let g = q - 250. Find the common denominator of v and g.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.14, -1\/3, -0.1, -2 in increasing order.\nAnswer: -2, -1\/3, -0.1, 0.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/1*(-4)\/(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 1.6, 1, 3679, 0.2, -3\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lmt when three letters picked without replacement from ltlltmttltlltttlttt.\nAnswer: 77\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -595169?\nAnswer: -2380676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 155\/22 - (184\/176 - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 266 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6702\/7 - -957. Which is the biggest value? (a) k (b) -2.9 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34675*q**2 + 1835*q**2 + 9374*q**2 + 1742*q**2.\nAnswer: 47626*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of 2 + 1\/36*i**4 + 4\/9*i**3 + 0*i**2 - i - 2\/15*i**5 - 1\/90*i**6. Find l, given that n(l) = 0.\nAnswer: -8, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -73*y**2 - 14*y**2 + 1280*y**3 - 2575*y**3 + y + 1297*y**3 - 3 + 2*y**4 to the form n*y + m + c*y**3 + i*y**2 + q*y**4 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 450*t**4\/7 + 7410*t**3\/7 + 14852*t**2\/7 - 9536*t\/7 + 192 = 0.\nAnswer: -14, -3, 4\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-138)\/10 - (-29)\/(-145). What are the prime factors of ((-7)\/h - (-178)\/(-12))*-3?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + (-10)\/(-2) + 0. Let p = k - 5. Calculate the remainder when 22 is divided by -2 + (p - 1 - -16).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + a**4)*(1 + 3 - 5) + 21*a**4 - 74*a + 74*a.\nAnswer: 20*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3593527 and 82.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 200*z - 412*z + 291*z.\nAnswer: 79*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 159269 + -159270.73999928. Let d = w + 1.74. Round d to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 41*q - 36*q. Let h(b) = 115*b - 106*b + b**q - 7 + 18. Calculate h(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 247357.6 to the nearest ten thousand.\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2061031 (base 7) in base 6?\nAnswer: 5205421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of 2*z**5\/45 - z**4\/9 + 2*z**3\/27 + 6. Factor u(c).\nAnswer: 2*c**2*(c - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.18 and -1696689202650?\nAnswer: 1696689202650.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 207 and 13869.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 108680000 rounded to the nearest one million?\nAnswer: 109000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h. Let j(n) = -56*n + 1. Calculate y(j(c)).\nAnswer: 112*c - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 3*v + 6, -y + 28 = 2*v. Calculate the remainder when 58 is divided by y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 3 = 0, -62*c + 3915 = -114*c + 2*i + 3*i for c.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (-27 + 17 - (0 - 4)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -19*j**4 - 5*j**3*w + 46*j*w - 27494*w wrt j.\nAnswer: -76*j**3 - 15*j**2*w + 46*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -1 + (13 - (12 + -5 - -1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*1*(-2 + 2). Let t = 54 - 51. Let i = -1 - -6. Put i, t, h in increasing order.\nAnswer: h, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6 + -9 + 7\/((-28)\/(-232)) - 3. What is the greatest common factor of v and 806?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24.92 + 2963.08. Let w = -2987.99998279 + d. What is w rounded to six dps?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (3 - 10) + (6 - 3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70 and 364?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -120 - -122. Solve v = -r*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) -5 (c) 1\/7 (d) 3\/4 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -6.9 (b) 1 (c) 5\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -53, -126, -229, -362, -525, -718?\nAnswer: -941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - (1*-23 + -2). Suppose -3*x + q = 2*x. Solve -27 = -d - 5*m, x*m - m = 5*d + 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 10:56 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1148780, -2297943, -3447106, -4596269?\n\"Answer: -1149163*o + 383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 77 - -28?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = f - 24. Let b be (-24)\/(f\/(-3)) - -2. Let z = 5 + 107. What is the greatest common divisor of z and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*k = -105*k + 225174 + 815754. Does 66 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 1:48 AM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -139018*m + 28957 wrt m.\nAnswer: -139018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28*p - 26*p + 5*f + 11, 1 = -p + 2*f for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*b - 21 = -29*b for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120*q**3 + 74*q**3 + 52*q**3.\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2)*j**(-9)*j**(-4\/11)\/(j\/(j\/(j\/j**(-6)*j))) assuming j is positive.\nAnswer: j**(-213\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 16 = 0, 3*k + 3*z = 4315 - 685. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/285*2*4\/96*15?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/(-130)*3\/9?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**4 - i**3 + 1. Let w(s) = -3*s**5 + s**4 - s**3 + s**2 + 1. Let l(g) = 6*w(g) - 6*y(g). Find the third derivative of l(j) wrt j.\nAnswer: -1080*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2332, 4664, 6996, 9328?\nAnswer: 11660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 12:06 PM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + 13\/13 - 150\/38. What is the nearest to -2\/5 in -1, -0.3, y?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01*-40907\nAnswer: 409.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3e (base 16) to base 8\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 377 is divided by 13184\/768 + 5\/6.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*-3*1\/14. Which is the nearest to 1\/4? (a) -3 (b) v (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -0.4 (b) 0 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -927*y - 14 = -928*y - 2*i, i = -5*y - 11 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6211*q + 6216*q = 5*u - 20, -q = 4*u - 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 59.321 - 61.2. Let k = n + -0.021. What is k rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14366 divided by 1.\nAnswer: 14366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 45*z + 48. Determine w(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of 189*k**2 + 8\/3*k**3 + 0*k + 0 + 5\/8*k**4 - 1\/60*k**5. Determine a so that t(a) = 0.\nAnswer: -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -13*v**3 + 7*v**2 - 9. Let y(o) = 6*o**3 - 3*o**2 + 4. Let b be 6*4\/(-24)*3 + -6. What is b*y(r) - 4*c(r)?\nAnswer: -2*r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (1 - -5) - (1 - -3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 486?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 5)*(-5*n**2 + 5*n**2 + n**3) + n**3 - 2*n**3 - n**3 + (-3*n + 5 - 5)*(-2*n**2 - 2 + 2).\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17250 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 23290 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27616 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 102 by -809.\nAnswer: -102\/809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 8:24 PM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1843 + -1847. Which is the biggest value? (a) g (b) -2 (c) -2\/5 (d) 15\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i - 6. Let h = -6743 + 6739. Let c(k) = -2*k + 7. What is h*c(s) - 5*u(s)?\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 - (-48 - -63) - -47?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 62140 and 1367.7723.\nAnswer: 63507.7723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 3384897 to the nearest ten thousand.\nAnswer: 3380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-200)\/(-180) - (-6)\/(-9).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -308*z - 467*z + 47424 = 57*z for z.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/52, 133\/3, 1?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6970 and 75235.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.51 + 5.49. Let d = -0.5464484 - -6.5464374. Let u = d - q. Round u to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1100001001110110111 (base 2) to base 6\nAnswer: -12311451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 9*q - 14 = 0. Solve 2*f + 2 + 1 = -i, q*i = -10 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-46)\/(-84) - 8\/(-28). Suppose 0 = g - 4*f + 6, 3*g - 2*f = -g + 18. Let l = 3 - g. Which is the nearest to 2? (a) u (b) l (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**(2\/41)*l\/(l\/l**18*l) assuming l is positive.\nAnswer: l**(736\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 3 - (-27 + 0\/2). Suppose -g - d = -2*c, g - 13 + 6 = -c. What is the remainder when 42 is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s - 1. Let c = -23600 - -23612. Let a(w) = -46*w - 12. Give c*f(z) - a(z).\nAnswer: 58*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33112.89ml to litres.\nAnswer: 33.11289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4194*a**3*g + 26*a**2*g*n + 2*a**2*g + 5*a*g*n + 2*a*g - 3*a*n - 825*a + 2*g*n - 72*n + 1 wrt a.\nAnswer: 25164*a*g + 52*g*n + 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 4*d - 1469 = 0, -2*d = -0*d - 8. Let x = p + -212. What are the prime factors of x?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1096 times -6511\nAnswer: 713.6056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98 - -5 - 14 - 144.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -1, -3, -291, -2194 in decreasing order.\nAnswer: 1, 0, -1, -3, -291, -2194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136351?\nAnswer: 136351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 4*d - 1. Let u(h) = h**2 + 3*h + 3. Let i be u(-2). Let y be q(i). Suppose -y*a + 2 + 7 = 0. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(2\/(-9 + 85))*((-33)\/(-3))\/22?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 5:49 AM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**3\/3 + 2226322*p**2 - 1858696683674*p + 27880283281210\/3 = 0. What is p?\nAnswer: 5, 1669739","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08904 to three decimal places.\nAnswer: -0.089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2274086.\nAnswer: 2, 227, 5009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -477551, -477968, -478385?\nAnswer: -478802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202970104?\nAnswer: 2, 25371263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 19 or 603\/31?\nAnswer: 603\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3831 + 4765 = 14*q. Let n = q + -404. Calculate the greatest common factor of n and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7215090 is divided by 208.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 0*t = 3*o - 7, 4*t - o - 9 = 0. Suppose -6*b = -t*b. Solve b = -0*i + 4*i + 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -5. Suppose -5*h - 2*n = -5 - 18, 5*h + q*n = 22. Solve -i + 0 = -h for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13246.6 rounded to the nearest one hundred?\nAnswer: -13200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-84)\/(-39) + -2 - (-220)\/(-416).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*p**3*t**3 + 18*p**3*t**2 - p**2*t**3 - p**2 + 615*p wrt p.\nAnswer: 18*t**3 + 108*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/287? (a) 0.045 (b) -1 (c) 3 (d) 1\/16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 19403.24 micrometers?\nAnswer: 19.40324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21012120201221 + 1?\nAnswer: -21012120201220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 8:26 PM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11774897 or 1?\nAnswer: 11774897","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.02, -0.122, -27, 2, 0.4, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + (-3*33)\/(-3). Suppose 3*a - 45 = n. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 172*z**2. Let f(b) = b - 1. Let n(h) = -9*h + 12. Let d(t) = -11*t + 15. Let g(c) = 2*d(c) - 3*n(c). Let y(r) = -6*f(r) + g(r). What is y(m(a))?\nAnswer: -172*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 4*h = -3*h - 55, h = 5*x - 65. Let u be (-1 + 2 - -2)*(-20)\/(-6). Let c be 13240\/100 + (-4)\/u. What is the greatest common factor of c and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**2\/2 + 339*b - 677\/2 = 0. What is b?\nAnswer: 1, 677","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (sqrt(18)\/(sqrt(6)*-3))**2) + 5.\nAnswer: sqrt(3) + 14\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -360 by -180.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - 21*v**2 - 53*v - 164. Give t(-19).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 361 - 205. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -219, -490, -815, -1194, -1627, -2114, -2655?\n\"Answer: -27*g**2 - 190*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/85)\/(-3*8\/60)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -988 divided by 4.\nAnswer: -247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (sqrt(304) - -5*-2*sqrt(304))*-4)**2 - (((sqrt(304) + sqrt(304)*-1 + -4)*-3)**2 + 4))*-3.\nAnswer: -1181511 - 864*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/25, -0.1, -1, -10 in increasing order.\nAnswer: -10, -1, -3\/25, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.4, 1\/2, -0.2, 63 in decreasing order.\nAnswer: 63, 1\/2, -0.2, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -0*j - 6312585. Suppose -804195 = 3*z - 2*z. Let i = z + j. What is i rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -151, -303, -455, -607, -759?\nAnswer: -911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10.21 + 9.71. Which is the third smallest value? (a) -2\/31 (b) -2\/17 (c) -3 (d) 1 (e) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4 + 0 + sqrt(171) + sqrt(171) + sqrt(171)) + -4 + ((sqrt(57)*-1)\/sqrt(3) - (sqrt(19) + (sqrt(19) + -1*sqrt(19) + sqrt(19) + 0)**2)).\nAnswer: -7 + 34*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l - 4*l + l)*(-l + 5 - 5) + 40*l**2 + 13*l**2 - 3*l**2 + 20 + 10*l**2 - 20.\nAnswer: 58*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -570 - -680. What is the remainder when y is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(-4)*(-99)\/(-6) + 1. Let t = b + 36. Suppose 5 + 3 = t*z. Solve -z*s + 1 - 5 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 714 - 380. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 262?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, l: 4}. Give prob of sequence gglg.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78804367?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6344 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 2) in base 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -5*o + 7*o - o. Let n(g) = 3*g. What is f(n(x))?\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*i - 4 = 0. Suppose -i*b - 22 = 14. Let k(n) = -n - 6. Calculate k(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -25*r**2 + 2. Let y(q) = -12*q**2 + 1. Let d(h) = 3*p(h) - 7*y(h). Let t be d(1). What is the lowest common multiple of 1*5\/(5\/t) and 11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 5*s, s = -3*z + 7*z - 19 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -33*(13\/(-78) + 6\/(-12)). Calculate the greatest common divisor of z and 456.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + 3*sqrt(612))*1.\nAnswer: 19*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39.4 - 46. Let j = 7 + p. Let n be 1\/((-39)\/(-228)) + -6. Which is the closest to -1? (a) n (b) j (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2278876?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*v**2 + v**2 - 134*v**2)*(3*v**2 - v**2 - v**2).\nAnswer: -109*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + -0.3. Let w = -0.3 - z. Let c = w - -4.1. Sort c, 0.3, 0 in increasing order.\nAnswer: 0, 0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*i**2 + 96*i**2 - 498*i**2 + 100*i**2 + 102*i**2 + 92*i**2.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (78\/(-12))\/(5733\/882)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65264.\nAnswer: 2, 4079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -3*r**3 - r**2 + 2*r + 3. Let d be x(-2). Suppose -73 - 195 = -2*c. Suppose c = 6*h - 436. Calculate the highest common divisor of d and h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 3*m + 49206 = 49307, -6*q = m + 39 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 4208820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -102497249 - 460\nAnswer: -102497709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-96)\/104 + (-1)\/((-8 + 13)\/(-40)) + -7\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1659535 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 807951 (base 10) in base 7?\nAnswer: 6603354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*n - 14*n = -3*l, 0 = 3*l + n + 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 275*l**2 + 953*l - 386. Determine f(-4).\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4*v = 10, 9 - 24 = 3*s - 5*v. Let r be (-2 - 15\/s) + 3. Solve 0*f = r*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/2*190\/475.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 618467873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/445055029 or -1?\nAnswer: -1\/445055029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 5. Suppose r*t - 8 = -2*t. Solve 0*z - t*z + 0*z - 3*z**2 - 5*z = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 36 - 1223*l + 5*l**2 - 6*l**2.\nAnswer: -l**2 - 1223*l + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -g + 1, -3*g + b - 19 = -7*g. Suppose -40 = -g*p - 4*x, -3*x + 2*x = -p + 8. Let z(f) = f**2 - 8*f - 11. Determine z(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12994*p + 12880*p + 5700 for p.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16637 + 16647. Solve 14 = 4*i + r - p, -4*i + 2*r + 12 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/((-10)\/4))\/((-28)\/21).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1031 divided by 1491?\nAnswer: -1031\/1491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 932\nAnswer: 1864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 13. What is the units digit of 10\/(-4)*(j - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**2 + 137212*y = 0.\nAnswer: 0, 68606","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 + 19 = t. Let v(g) = g - 22. Let n be v(10). Is ((-12)\/10)\/(n\/t) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -7. Let n(r) = 4*r**2 + r - 3. Let m(t) = 4*t**2 + t - 2. Let v(s) = -3*m(s) + 2*n(s). Let w(o) = o**2 - 1. Determine q*w(c) + v(c).\nAnswer: -2*c**2 - c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -532, -1054, -1566, -2068, -2560, -3042?\nAnswer: -3514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/529892 and -141\/9020?\nAnswer: 108627860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 124940912 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*w + 46*w - 189200 = -26*w. Calculate the greatest common divisor of w and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 299253 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: Determine w, given that -4*w**2 + 36092*w - 144304 = 0.\nAnswer: 4, 9019","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -374*v + 14. Let i(u) = 1495*u - 51. Give 11*h(w) + 3*i(w).\nAnswer: 371*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k - 9. Let v be u(11). Let h be v - (3 + -1*14). Suppose -3*c + 32 = 2*x + h, -14 = -2*x - 2*c. Solve x*i - 1 = i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 746542*f. Let d(l) = 49*l. Calculate d(z(m)).\nAnswer: 36580558*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and -619273.6.\nAnswer: -619277.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.7, 2\/5, -11\/29, 4\/9, 1\/2 in increasing order.\nAnswer: -11\/29, 2\/5, 4\/9, 1\/2, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 104 + -99. Suppose -91*r + 90*r - d = 0. Let a(j) = 3 + 3*j + j**2 + 4*j + 0*j. Calculate a(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15.2 + -16.11. Let c = t - 0.09. What is the closest to 0 in 5, 2\/5, c?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -3*a**2 - 3*a - 5. Let c(v) = 8*v**2 + 6*v + 11. Let f(z) = 2*c(z) + 5*i(z). What is f(8)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 278466, 556933, 835400, 1113867, 1392334, 1670801?\nAnswer: 1949268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70 and 6?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4851937 is divided by 410.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0218040421 to 5 decimal places.\nAnswer: -0.0218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -118?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**3\/11 + 543*m**2\/11 - 2740*m\/11 = 0. Calculate m.\nAnswer: -548, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 71240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 - 5)*(-c - c + 7*c - c + 0*c - c + 0*c - 4*c + 3*c + (-3 - 2 + 3)*(-1 - 2*c + 1)) to the form w + n*c and give n.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 123\/20 and 37\/2944.\nAnswer: 14720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*h = 5*c - 43, -h + 14 = -2*c. Suppose -1 = 2*s + 3. Let v = h + s. What is the smallest common multiple of v and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6793 is divided by 2024?\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 - 2*a. Let r be v(-2). Solve r = -4*b - 16 + 12 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -7.1. Let k = -1512 + 1511. What is the third biggest value in k, -2, s, -4\/9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = v + 4, 2*v - 1 = -k + v. Suppose 3*a - k - 5 = 0. Solve 3*d + s = -2, a = -5*d + s + 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 16) to base 5.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**2 + 12*s - 12. Let l be w(-7). Suppose l*m - 1 = 25. What is the remainder when m is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4775 (base 9) in base 3?\nAnswer: 11212112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -3*x**3 - 21*x**2 - 18*x. What is p(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -5. Let a = -0.35 - -0.35. Sort -1\/3, a, d.\nAnswer: d, -1\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3761a - 432a?\nAnswer: -3b948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 353*s = 352*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (4 - -3) + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 664 and 2133056.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13288 and 34881?\nAnswer: 279048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 426362 - 46?\nAnswer: 426313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)\/(sqrt(2)*-1) + sqrt(25))\/(sqrt(5) - (sqrt(180) + sqrt(5)) - sqrt(5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 7 = r - 5, -3*r - 6 = -2*s. Let h(o) = -o**3 - 65. Let p be h(s). Let q = p + 119. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 660 = 4*h + 2*h. Suppose 2*x = 8, -3*w + h = -2*x - 20. Suppose 4*l + 4*d - 168 = 0, l + d - w = -2*d. Is 6 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 0 = 4. Let i(d) = -d**2 - 4*d. Let u be i(-2). Is r\/u + 292\/8 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -w - 251695, 4*l - 201357 = -26*w + 27*w. List the prime factors of l.\nAnswer: 2, 25169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 43 + (0 - (3 - 4)). What is the highest common divisor of b and 220?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.000776 and 1419906917?\nAnswer: 1419906917.000776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-154*y**3 - 27*y**2 + 156*y**3 - 2*y**2)*(-1 + 5 - 3 + 4*y) to the form a*y + b*y**3 + s + j*y**4 + w*y**2 and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -220*s**3 - 658*s**2 - 184*s**3 - 928*s**3 + 2403*s**2 wrt s?\nAnswer: -7992","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -16, -2, -102 in increasing order.\nAnswer: -102, -16, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 6 - 12 + 7*z - 2*z.\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 564*l**5 - 323*l**4 + l**3 - 719*l**2 - 65 wrt l.\nAnswer: 33840*l**2 - 7752*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 24712645?\nAnswer: -24712642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 40 + 129. What is the remainder when w is divided by 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11169 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 10:05 PM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 8 - (-978 - -956).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v + 1. Let b be n(-6). Let y = b + 26. Is 15 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1404 divided by 6?\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of 0 - 55\/6*d**3 + 0*d - 34*d**2 - 3\/20*d**6 + 0*d**4 - 1\/20*d**5. What is the derivative of n(t) wrt t?\nAnswer: -54*t**2 - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 348367885 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 439*q + 2 = -441*q + 52, -111*q - 17*q - 202 = 2*x for x.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (67 - 67 - 5*b - 2*b)*(5 - 5 + 2*b**2) as k*b**3 + r + s*b**2 + y*b and give k.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.59 + 0.49. Let y be ((-12)\/(-16))\/((-10)\/8). Let h be 7\/((-49)\/(-10)) - 1. What is the closest to m in h, y, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (14\/4)\/7 + 0. Suppose -3*q + 3*n - 15 = 0, 0*n + 20 = -2*q + 4*n. Is y at least as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -y**3\/2 - 124*y**2 - 15621*y\/2 - 15129 = 0.\nAnswer: -123, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 14*w**2 - 13*w + 5. Let x be t(13). Let k(l) = -4*l + 19. Let q be k(x). Is 87 + q*(2 - 4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - ((-13 - -7 - 2 - 0) + 4).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1458480)\/(-40))\/(-103)*3\/(-27)*3.\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2350 and 89200?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(-h**2 + 0*h**2 + 2*h**2) - 22*h**2 - 5*h**2 + 8*h**2 + 0 + 0 - 2*h**2 + (0*h - h + 0*h)*(-3*h + 2*h + 0*h).\nAnswer: -21*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4 = -c, -8 = -3*g + c + 3. Put g, -2, -184, 4 in increasing order.\nAnswer: -184, -2, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (2*(sqrt(190) + -1*sqrt(190)))\/(1*sqrt(160)) + (3 + (sqrt(2736) + 1 + sqrt(2736))**2 - (-1*sqrt(19) + sqrt(19))*-1*-6).\nAnswer: 48*sqrt(19) + 10951","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of -p**4\/12 + p**3\/2 + 18*p**2 + 59*p - 7. Calculate h(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 204040?\nAnswer: 204040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of -7*x**4\/3 + 271*x**3\/3 + 2548*x. What is the second derivative of z(v) wrt v?\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - ((-22 - -50) + -15)) + -3 + 61\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 345 and 30054905?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8\/3*n**2 + 0 + 16\/9*n + 4\/9*n**3 - 2\/9*n**5 - 2\/3*n**4 = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and -2.8043.\nAnswer: -2.7043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13553*f + 3 + 770*f**2 + 13545*f - 3.\nAnswer: 770*f**2 - 8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o + 0 = 10. What are the prime factors of (-2)\/(-3)*51 + o + 1?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (114 - 596 + 390 + 402 + 291)*(o - o + 5*o) as l*o + k and give l.\nAnswer: 3005","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 20 = -2*n. Suppose w = -0*w + n. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2763182 is divided by 352?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22532081 divided by -2717.\nAnswer: 8293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**2 - t**2 - 2*t**2 + (1 - 1 - 2)*(3*t**2 - 3*t**2 + t**2) + 3*t**2 - t**2 - 4*t**2.\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 2297 - 68. Let c = -254 - -620. Let y = x - c. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/(-2)*16\/192*246387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*z - 48 - 15. Let y(l) = -l**2 - 9*l - 13. Let d(q) = -3*q**2 - 18*q - 28. Let w(u) = -2*d(u) + 5*y(u). Calculate w(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)*-5 - (sqrt(7) + (sqrt(7)*1)**2 + sqrt(7) + 4).\nAnswer: -17*sqrt(7) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -8*q + 9*q - 25 + 10. Let a be s(16). Calculate the least common multiple of 72\/4 + (a - 3) and 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n + 3. Let s = 2 - -2. Let b be x(s). Suppose f = b + 5. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-1 + sqrt(832))*-3)**2*1.\nAnswer: -864*sqrt(13) + 44982","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -6*r. Let d(w) = 3 - 3 + 8851*w + 31*w**2 - 8851*w. Calculate i(d(a)).\nAnswer: -186*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 11) to base 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45853\/7054 - -1\/3527. Is l greater than or equal to -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1061*z**6 + 83*z**2 - 7*z wrt z.\nAnswer: 127320*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = 5*u - g - 80, 19 = -u + 2*g. Find k such that 0 - 1\/4*k**4 + 1\/4*k**u - 1\/4*k + 1\/4*k**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-1)*(-215 + -3)\/(-2). Let h = -106 - t. Solve -q + 1 = -0*g - 3*g, h*g - 4*q = 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 2 = 5*u, 3*u + 4 = -4*f + 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (84\/24)\/((-12)\/8). Which is bigger: -2 or m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13 - -3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2\/9 (b) 0.28 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1672.5069183 rounded to the nearest one hundred?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0, -1\/9, -62\/9, 0.1 in decreasing order.\nAnswer: 0.4, 0.1, 0, -1\/9, -62\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*(-1)\/(-112))\/((-60)\/(-80))?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-20842)\/(-2) + 61\/(1464\/(-192))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/10 - 1124\/(-20)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13821 + -13765. Solve -r*o + 31*o = -125 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 7*r**2 - 4*r + 1. Let k(j) = j**3 + 6*j**2 + 4*j - 1. Give 4*k(w) + 3*m(w).\nAnswer: w**3 + 3*w**2 + 4*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + s - 1. Suppose -11*b + 0*b + 44 = 0. Let x(q) be the first derivative of q**3\/3 - q**2\/2 + q - 1. Calculate b*a(h) + 5*x(h).\nAnswer: h**2 - h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6396 divided by -55.\nAnswer: 6396\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 1:11 AM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence szy when three letters picked without replacement from {s: 3, z: 4, y: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*d - 3*d + 4*d)*(2*d + 2 - 2) + (1 + d**2 - 1)*(1 + 2 + 2).\nAnswer: 27*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of z**7\/8 - 3*z**6\/4 - 207*z**5\/80 - 5*z**4\/4 + 3*z**3\/2 - 2*z - 40. What is u in m(u) = 0?\nAnswer: -1, 0, 2\/7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 10 (b) 4 (c) 7 (d) -0.3 (e) -0.0162\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 552 and 345?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (6 + 7 + -6) - (50 + -20 - -8)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 6:01 PM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 215 - 993. Let z = 493 + -231. Let w = j - z. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12*((-20)\/(-4) + -4)*-1. Let s be (1 - 8)*q\/21. Suppose 2 = 2*g + 2*n, 0 = -g + s*g + 4*n. Solve 0 = g*w - 7*w + 15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -23*z - 3. Let h(b) = 34*b + 4. Let r(s) = 5*h(s) + 7*w(s). Let g(v) = -4*v + 2. What is the remainder when g(-3) is divided by r(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 579?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.901813 to two decimal places.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 5*a**2 + 227*a - 1621. Give p(7).\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 915?\nAnswer: -917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 14*n**2 - 541*n + 3522. What is v(7)?\nAnswer: 421","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.984 - 0.016. Let z = 0.4 - 0.1. Which is the nearest to t? (a) z (b) 3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17075 + 11979. Do f and -5094 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.9 less than -21093.4?\nAnswer: -21070.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((4 + (-2*sqrt(1584) - sqrt(1584)) - (1 + -2 + sqrt(1584)))**2 - (-4*(sqrt(1584) + -5)*4)**2).\nAnswer: -90720*sqrt(11) + 1159605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 divided by -94?\nAnswer: -199\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.045 and 1.\nAnswer: 0.955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1 and 4299780083961?\nAnswer: 4299780083960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*j - 340 - 348 = 0 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - 12.6. Which is the closest to 2? (a) -2\/17 (b) 0.2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9\/382? (a) 4\/3 (b) 1 (c) -1\/3 (d) 0.13 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -70*b. Let s(c) = 16*c**2 + 32*c + 16. Let a(u) = -6*u**2 - 10*u - 5. Let h(l) = -16*a(l) - 5*s(l). Give h(k(f)).\nAnswer: 78400*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -5 + 0*b**2 + 4*b**2 - 2*b + 2*b**2 + b. Let w(p) = -p**2 + 1. Determine -k(u) - 5*w(u).\nAnswer: -u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -5*r + 2. Let a(k) = -11*k + 3. Let i be 9*2*6\/(-12). Let h(n) = i*j(n) + 4*a(n). Let p = -19 - -19. What is h(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6827786, 6827794, 6827808, 6827828, 6827854, 6827886, 6827924?\nAnswer: 6827968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 11*y**2 - 12*y + 16. Calculate g(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 846067361 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 - 7 - 8*-1 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -32*v**3 - 4*v**2 - 6*v + 980. Let f(x) = -31*x**3 - 5*x**2 - 7*x + 981. Let h(b) = -4*f(b) + 5*k(b). What is the derivative of h(t) wrt t?\nAnswer: -108*t**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3176, -3189, -3190, -3173, -3132, -3061?\n\"Answer: u**3 - 20*u - 3157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-88)\/(-5)*(-101625)\/27100.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwdwdwdwwwiwkdiwdkd. What is prob of sequence ii?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2553, 6830, 12831, 20556, 30005, 41178?\n\"Answer: 862*i**2 + 1691*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 12:46 PM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -u**5\/20 - u**3\/6 - 2*u. What is the units digit of g(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-368))\/((-1037)\/34 - -29).\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1995*v**2 + 4 + 2 - 11*v - 4414*v**2.\nAnswer: -2419*v**2 - 11*v + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 12) to base 2.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2693957 to the power of 1\/2, to the nearest integer?\nAnswer: 1641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 792 and 6120.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-10) - (-236)\/10. Let i = -19 + f. Solve 5*j - 4*w - 9 = -5*w, 5*w = -i for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of h**2*x + 4394*h*x**2 - 5*x**2 - 60*x wrt h.\nAnswer: 2*h*x + 4394*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 6*q = -10*q. Suppose q = k + a - 80, -3*k + 12 = -a - 240. Let v = k + -38. Does 4 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 620 is divided by 89.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6*((-20)\/6 + 3). Let v(t) = -21*t - 10*t + 10*t + q - 23*t. Is 12 a factor of v(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65681140 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.2 - 0.8. Let o be 39\/171 - ((-4)\/19)\/2. Which is the smallest value? (a) r (b) -0.2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 89*x**2 + 563*x**3 + 122*x**2 - 1332*x**3 wrt x.\nAnswer: -4614","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 + 3)\/(-2 + 4). Suppose -3*x - 3 = 0, -2*x + 443 = c*b - 281. List the prime factors of b.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1b3 (base 14) to base 8\nAnswer: -541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -8. Let i be 2 + (-2 - -1 - 0). Let d be (3 - (i + l))*1. Is 1 bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/133 and -55\/7.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 12:32 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5329 (base 13) to base 4.\nAnswer: -2310013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 46*z + 36*z - 2 - 3*z**2 - 82*z. Let r(x) = -7*x**2 + x - 5. What is 10*b(y) - 4*r(y)?\nAnswer: -2*y**2 - 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*a + 8 - 2 + 11*a**3 - 9*a**3 + 6.\nAnswer: 2*a**3 - 36*a + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-4) + (-2)\/(-8). Let t = -11996 + 83974\/7. What is the nearest to t in -3, 57, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z + 18 + 0 - 5 - z to k + t*z and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 3933?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 182 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, i: 4, o: 2}. Give prob of picking 1 i and 2 o.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 84 + -1?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -14*r**2 - 6*r + 6. Let w be y(-8). Let c = -2122 - w. Does 24 divide c\/(-50) - 2\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 108373 and 336?\nAnswer: 36413328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/7, -9, 0.3, -3 in decreasing order.\nAnswer: 6\/7, 0.3, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 a factor of 170275964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2*h + 2)*(-13984*h**2 - 118266*h + 118266*h) as a*h + t*h**3 + u*h**2 + b and give t.\nAnswer: 27968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 20982.\nAnswer: 1\/3497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 759, 1519, 2279?\nAnswer: 3039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/9*23\/((-230)\/(-45))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 54*d + 49*d = -150, -2*x - 72*d = -76*d + 126 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-12))\/(2\/30). Suppose -899998 = 5*v + 2*h, p*h = -v - 69281 - 110714. Round v to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2736 = 658562*x - 658610*x for x.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, b: 11, e: 3, m: 3}. Give prob of sequence ue.\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7638241739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 61*i**2 + 129*i + 183. What is l(-63)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9217 - 1784. Does 18 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 - -2 - (409 + -423).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/(-5)*(-30)\/(-12) + 3. Suppose 0 = -2*v + q + 15, -4*v + 4*q + 25 = 3*q. Which is smaller: v or w?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c**2 + 216*c - 209. Let q be h(107). Solve 16*r + 2 = 4*g + 18*r, 0 = -q*r + 15 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 2:43 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of 7*h**4\/6 + 2*h**2 - 49. Let k(l) = 4*l**2. Give k(y(j)).\nAnswer: 3136*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -7*c. Let w(o) be the second derivative of -9*o**3 - 124*o. Give w(d(y)).\nAnswer: 378*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 405 = -26*p + 106*p, -5*l - 120 + 23 = 3*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 11:07 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -11.8. Which is the closest to 0? (a) j (b) 1\/6 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s + 6. Let f be m(7). Let j = f + 12. Suppose 0 = j*a + a + 1000000. Round a to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/9)\/(-7)*-3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1523274362 and 12?\nAnswer: 9139646172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**2 + 48*h - 99. Let v be b(21). Let r be (2\/4)\/(v\/(-36)). What is the fourth biggest value in 1\/6, -4, r, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/4 of a milligram in micrograms?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16\/7 + 4\/(-14). Suppose -x*q - 3*q = -450. Is 10 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = -2*p. Suppose -4*x + 3*d + 97 = p, -5*x + 5*d + 134 - 14 = 0. Suppose -4*v = -27 - x. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 4) + -3 - -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12486100.\nAnswer: 2, 5, 11, 11351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 187 and -1.36.\nAnswer: -254.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand z - 2*z + 2*z + (2 - 3 - 1)*(3 - 3 - z) + 7*z - 3*z + 2*z.\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1310856 and -1268.\nAnswer: 1309588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 12*g - 11*g - 6, 0 = 5*g + 5*f. Let o(y) = -2*y - 3. Let i(z) = -z. Let m(v) = 2*i(v) - 2*o(v). Let u be m(g). Round u to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of b**2\/2 - 2*b - 2. Let s be z(2). Suppose s = -3*d + 11 - 2. Solve 0 = -2*h + 1 + d for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*s**2 + 0 - 5*s**2 - 12*s**3 - 1 + s as f + t*s + p*s**3 + c*s**2 and give p.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a - 2*a + 41*a**2 + 228*a**2 + 0*a.\nAnswer: 269*a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*f - 16. Let t be f\/(3 + -1) - -4. Suppose 2*p - 6*p + t*c = -592, -153 = -p + 2*c. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 3, x: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -102, -367, -814, -1449, -2278, -3307, -4542, -5989?\n\"Answer: -v**3 - 85*v**2 - 3*v - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 w when three letters picked without replacement from {i: 2, x: 2, a: 3, w: 4}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, 10, -2267 in descending order.\nAnswer: 10, 1, 0, -2267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 4*n**2 - 4*n + 2. Let x(f) = f - 1. Let g(v) = 5*v - 7. Let j(q) = g(q) - 4*x(q). Let b be j(5). What are the prime factors of r(b)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 14 = -3*y + 37, 2*y = 2. Suppose -5*g + d - h = -33, 0 = -2*d - 6. Let v(i) = -i**3 + 3*i**2 + 3*i + 6. Is v(g) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -23379000 to the nearest 1000000.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o, 1 p, and 1 f when four letters picked without replacement from hfosp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 187022 and 9?\nAnswer: 1683198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ferrrrrrfrrffe. Give prob of picking 3 f and 1 e.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 0.05. Let p = 6.31 - 2.11. Let v = p - 3.2. Which is bigger: v or c?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 272592545 and 14275.\nAnswer: 2855","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22211100122221 (base 3) in base 6?\nAnswer: 244320211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1497*a**3 - 5084*a**3 + 1797*a**3 + 1762*a**3.\nAnswer: -28*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -6)\/(-143*23\/598)?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 2*d + 4*s, 3*d + s - 5 - 9 = 0. Suppose 0*u + d*u - 6 = 0. Suppose -u*v + 5*g = -7*v + 65, -5*v + g = -71. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -4*d**2 + 9*d - 6 - 9 + 3*d**2 + 4. Let j be a(8). Let h(c) = -3*c - 4 - 4*c + 2*c - c**2. Calculate h(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t - 645 + 902 - 518 + 0*t.\nAnswer: -2*t - 261","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 822297.659547 - 822299. Let a = -1.342 - d. What is a rounded to 4 decimal places?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 2*z + 68, z + 4*r + 36 = 5*r. Are z and -498\/13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*i**3\/4 - 205*i**2\/4 - 411*i\/2 + 160 = 0. Calculate i.\nAnswer: -64, -5, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of d**5\/60 + 7*d**4\/24 + 5*d**3\/6 + d**2. Let m(f) = -2*f - 9. Let c be m(-8). Let q = c - 12. Calculate h(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-1) + 84\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28921 plus -0.5?\nAnswer: -28921.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52 - 45 + 98 - a + 6*a**3 - 2*a**4 to the form y*a**4 + b*a**2 + l + k*a**3 + z*a and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -3*k + 19 + 29, -f = 2*k - 27. Calculate the smallest common multiple of 42 and k.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*p**5 - 9401955*p**4 - 2*p**2 - 144117*p + 1340.\nAnswer: 80*p**3 - 112823460*p**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 8*l**2. Let c(b) = 11*b. Let k(d) = -32*d. Let z(x) = -17*c(x) - 6*k(x). Calculate p(z(s)).\nAnswer: 200*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 391 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 11:15 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 90\/(-12)*12\/5. Let r be (-1040)\/f + 2\/9. Suppose -2*j + r = -h, 2*j + j = h + 89. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 4*x**2 + 107*x + 207. Calculate j(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-13) + (484\/117)\/11?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379354848 a multiple of 168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 7:46 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8208\/6*(-22)\/(-88). Calculate the greatest common factor of 18 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 9:35 PM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**0)**16)**(-39) assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/161981 and -81\/668?\nAnswer: 108203308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(4896)*2 + sqrt(4896))*5*5)\/(sqrt(10)\/(sqrt(5) + sqrt(60)\/(-2*sqrt(12)))*6).\nAnswer: 3 + 75*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -20. Let h = 14.8 + c. Let d = h + 0.2. What is the nearest to d in 0.1, -4, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(20*1\/4*2)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.5 (b) -13 (c) 2\/19 (d) -5 (e) -1\/6 (f) 0.67\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1470, -3063, -4674, -6303, -7950, -9615?\nAnswer: -11298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 1)\/((-74)\/(-222)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 8 (b) -6.8 (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/2 (b) 0.4 (c) 6 (d) -51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 218.7 - 244. Let v = f - -25. Which is the closest to -0.1? (a) -2 (b) -2\/9 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4aec + 1?\nAnswer: -4aeb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j + 6 + 42 = 0. Let t be (-6)\/(-2) - (11 - j). Put 7, t, -2 in decreasing order.\nAnswer: 7, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s**2 + 10*s**2 + 16*s**2.\nAnswer: 20*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -137 - -120. Let l = -22.3 + 4.3. Let r = f - l. Sort r, -1\/5, -5.\nAnswer: -5, -1\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (-5 - (-6 - -6))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1395*(-6 - -5)\/3. Suppose 0 = 3*j + r - 555. What is the least common multiple of 9 and j?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28688863 a multiple of 145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*a*m**2*u**2 + 178193*a*m**2 + 4*a*m*u**2 - 7507*a*u + 9*a - m*u**2 wrt m?\nAnswer: -16*a*u**2 + 356386*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26207131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 377 (base 10) to base 11\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3557552?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -l**4\/12 + 7*l**3\/6 - l**2 - 3*l. Let v be b(5). Is 4\/(v\/(-6)) + 148 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 916 a factor of 152823608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7430 is divided by 7131?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 + 1)\/((-4)\/(1 - -3)). Suppose t*v - 11*x = -7*x + 3, -x - 22 = -5*v. Is 3 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005571 rounded to six dps?\nAnswer: 0.000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 178*i**2*o**4 - 763*i**2*o - i*o**4 - 2*i*o**2 - 10*o**3 + 2*o wrt o?\nAnswer: 4272*i**2*o - 24*i*o - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dwwwdzrzzrrrzd. What is prob of sequence rz?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 13 = 14. Let z = p - 9. Solve -2*g + 7*g = z for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - j + 3. Let s be k(0). Suppose -3*u = 6, 3*n - s*u - 24 = -3. Solve 15 = w + 3*g, 5*g - 25 = -n*w + 2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 10) to base 4\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -20, -5*h = 4*z - 9*z + 2825. Round h to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2548)*1)\/(sqrt(400)*-3 - sqrt(400)).\nAnswer: -7*sqrt(13)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3, -81, -309, -753, -1485?\n\"Answer: -12*z**3 + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000015119556 to 7 decimal places.\nAnswer: -0.0000151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(-2) - ((-646)\/(-52))\/(45 - 46).\nAnswer: 90\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 9*a**2 - 444*a - 2665. Calculate the remainder when h(-6) is divided by 82.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3168 and 16992?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12.41 + 11.9. What is u rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 r when four letters picked without replacement from jjjjjrrrjrjjjj?\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 279.9 to the nearest 10.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 44 = 4*t, 4*t + 5 = 2*k - 4*k - 31 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of -i**3\/3 + 127*i**2\/2 - 372*i - 3656. Factor j(u).\nAnswer: -(u - 124)*(u - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 899783 a multiple of 437?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 954272423.\nAnswer: 13, 3637, 20183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3.1*-0.04\nAnswer: -0.124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11420.2 - 11420. What is the smallest value in -0.07, -14, -1\/6, -2, v?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5 + 2 - 2*-1. Let z(c) be the first derivative of -c**3\/3 + c**2\/2 + c + 1. Let w be z(2). Do w and r have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -18*f**4\/5 + 8*f**3 + 82*f**2\/5 - 128*f\/5 + 24\/5 = 0?\nAnswer: -2, 2\/9, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**2 - 43*z + 17. Let f be c(22). What is the greatest common divisor of f and 208?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -587\/14541 - 29\/3930. Find the common denominator of 7\/4 and x.\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + 5*q**2 - q + 1. Let z be i(5). Let y = z - -7. Suppose y*r = 2*r + 9. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n - 9. Let c(m) = 26 - 4*m + 9*m + m. Determine 6*c(j) + 17*g(j).\nAnswer: 2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1923 divided by -641\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(192))\/sqrt(6) + sqrt(64)\/(sqrt(2) + 1*sqrt(2)))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooh when three letters picked without replacement from {o: 2, p: 1, i: 4, h: 1, j: 1}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w - 13 + 10 - 2*w**3 + 3 + 2*w**2 to the form h + m*w**2 + c*w + p*w**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 6*h**2 - 5*h + 5. Let n be v(-5). Let f = 42.1 - 42. Which is the third smallest value? (a) f (b) n (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/(-14) + 4\/(24\/9). Find the second derivative of -14*i**m + 11 - 19 + 8 - 47*i wrt i.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 12*g - 16. Let y(a) = -a**2 - 12*a + 16. Let m(t) = 5*o(t) + 6*y(t). Let n(f) = -4*f**2 - 36*f + 48. Let i(p) = 10*m(p) - 3*n(p). Factor i(v).\nAnswer: 2*(v - 4)*(v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31611 - 948239\/30. Calculate the common denominator of -2 + 242\/18 - 3 and g.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 9 = -3*i + 63, z - 36 = i. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 3:25 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 70 = -0*b. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + x + 46. Let a be j(7). Solve -q - 4 = q + 2*k, 14 = -a*q + 2*k for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -326*l**2 - 4*l + 8*l - 6*l.\nAnswer: -326*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -34*u**2 - 12114*u - 3567. Determine y(-356).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*j - 49*j - 200 = 0. Let a(p) = -49*p + j*p + 5 - 4 + p**2 + 0. Give a(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 9*u + 44. Calculate h(9).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.665 - -4.665. What is the third biggest value in 3\/5, -55, a?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5*c = -c - 20, c = 5. Suppose 19*d = 30*d - 44. Solve -w + d = -l*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38426?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/2 - 0)*2. Let p = 5 - s. Suppose 5*t = 3*q - 63, p*q - 2*t - 79 = 3*t. Is 8 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -147? (a) -11 (b) -0.4 (c) -2 (d) 191 (e) -3 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 2\/6)*-3. Let k = -0.4 - 0.6. Which is the nearest to 1? (a) h (b) k (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.006? (a) -1080\/13 (b) 0.5 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 q, and 1 b when three letters picked without replacement from pdobhppqbqbhpqoodopp.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 976799 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1758070 and 13946?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 5:22 PM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 5*b**2 + 2*b + 9. Let n be 58\/(-10) + 2\/(-10). Let z be h(n). Calculate the greatest common divisor of z and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 + -16. Let b(f) = -11*f - 30. Let m be b(-5). Let c = 29 - m. Solve -4*n = -8, 14 = c*d + i*n - 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2237816.\nAnswer: 2, 7, 89, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l + 20. Let h be p(-20). Which is the closest to 2\/9? (a) -4 (b) h (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooooooo. Give prob of picking 2 o.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**2 - 335*y - 1020. Determine p(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1131, 660, -117, -1194, -2565, -4224, -6165, -8382?\nAnswer: -10869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 12 + 37 = -8 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -139\/4 - -35. Let j be (-5 + -3)\/2 - 2. Let b = -0.1 + 1.1. What is the nearest to b in k, -0.2, j?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -1773, -2 in ascending order.\nAnswer: -1773, -4, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5\/45)\/(4\/(-12))*-6. Suppose c*g + 3560 = -2600. Round g to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 9\/4*x**3 - 21*x - 1\/2*x**2 - 1\/4*x**4 - 18 = 0. What is x?\nAnswer: -2, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3*v**2 + 2)*(-1 + 1 - 3*v + (0*v - v + 3*v)*(1 - 2 + 0) + v - v - 2*v - 13 + 13 - 28*v) to the form q*v**3 + g*v + a + d*v**2 and give q.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 124716?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of 0*h + 1\/15*h**3 - 1\/150*h**5 + 0*h**4 + 0 + 4*h**2. Determine g, given that o(g) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/z**0*z*z**(-2\/3)*z*z*z)\/(z\/((z*z*z**(2\/5)*z)\/z))**47 assuming z is positive.\nAnswer: z**(1067\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 68429045 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/3 and 29\/45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 161 divide 176710248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 58\/3, -4, -0.75, -27.\nAnswer: -27, -4, -0.75, 1\/3, 58\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 736 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 l, and 1 f when three letters picked without replacement from {j: 8, l: 1, f: 2, g: 7}?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120*b - 114*b + 419*b - 123*b - 81*b.\nAnswer: -19*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 114586281343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, v: 7, w: 2, x: 1, s: 2, e: 1}. Give prob of sequence sv.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (26\/(-6))\/(341\/1023)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -523523477, -523523476, -523523475, -523523474, -523523473, -523523472?\nAnswer: -523523471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -4*m + 48, r - 18 = -m - 2*r. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 174981993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4*h - 1 = -d, -4*h + 4*d + 12 = 0. Does 38 divide 140 - (5\/(-2) - -2)*h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -649 divided by -1782.\nAnswer: 59\/162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 27*a**2*g + 3820*a**2 - 44*a*g**2 - 2*a - g**2 wrt g?\nAnswer: 27*a**2 - 88*a*g - 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25.4 - 25. Which is the nearest to 4? (a) -2\/7 (b) -5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -5.7. Let j = -152 - -607\/4. Which is the biggest value? (a) 1\/10 (b) j (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 511*u - 512*u - 9 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from msmmmsjlm. What is prob of sequence ms?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 + 9 - 1) + 2*-1. Suppose 0 = -3*s + 8*s. Solve 4*u + h = u + 4*i, s = -u - 5*i + 18 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -147073 divided by -16\nAnswer: 147073\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q - 1. Let f be m(-5). Let w = 0 - f. Let x(t) = 2*t + 6. What is x(w)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*t + 7*t + 4*t - 2*t**2 to the form v*t**2 + c*t + a and give c.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*x - 73 = 67*x + 467. Put x, -20, -4, -2 in ascending order.\nAnswer: -20, -4, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*p - 5*p**2 + 12*p + 12 - 9*p**3 + 12*p + 2*p**2.\nAnswer: -3*(p - 2)*(p + 2)*(3*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102452*u**3 - 204863*u**3 + 0 + 102445*u**3 + 3 - 3.\nAnswer: 34*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 112507 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*2*sqrt(931).\nAnswer: -70*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 362\/7 - 50\/(-175). Find the third derivative of 19*d**2 - 199*d**4 + 127*d**5 + h*d**2 + 199*d**4 wrt d.\nAnswer: 7620*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 2245.4, -4, 5.\nAnswer: -4, -0.5, 5, 2245.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*k - 6*k - k - 13*k.\nAnswer: -47*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 12:43 AM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5120*l*r**4 + l*r**2 + 3*l - 3*r wrt r.\nAnswer: 122880*l*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 743 is divided by 248?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 27454 to the power of 1\/2, to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4644690253.\nAnswer: 7, 37, 365983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 3*q + 25*t - 22*t, -4*q + 2*t = 74. Sort 0, -70, -4, q in decreasing order.\nAnswer: 0, -4, q, -70","meta":{"dup_signals":{},"source":"comparison__sort_composed_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: Calculate (-28)\/(-35)*1*(-2)\/(-4).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5927?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g**3 - 2*g**3 - 2*g**3)*(2 + 1 - 2)*(3 - 3 + g**2) + (-10*g**3 + 12*g**3 + 2*g**3)*(-4*g**2 + 0*g**2 + 0*g**2).\nAnswer: -15*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1073404 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/9*-3 - 1. Suppose 2*u - 107 - 29 = k. Let a = u - 170. What is a rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10*238234\nAnswer: 2382340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202294793.\nAnswer: 202294793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (287 - 55*q**2 - 287)*(-1 + 4 - 1)*(5 - 4 - 4).\nAnswer: 330*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 228 and (160\/60)\/(14\/42).\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p + 4*p + 9*p. Let z(i) = -i**2. What is z(f(t))?\nAnswer: -121*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (7 + 8\/(-2) - 24\/(-4)) + -10\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*g**3 - 1 - 3 + 4 - 4*g to the form o + r*g**2 + a*g**3 + v*g and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddhbwehdbnwwddbwdn. Give prob of sequence ehw.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 0*h = 25. What is the remainder when 11 is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a - 4. Suppose 0 = 3*z + n - 24, -3*z - 5*n + 3 = -9. Calculate the lowest common multiple of z and c(4).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/i**5*i*i**(-2\/9)*(i**(-2\/11))**(-12\/5))**22 assuming i is positive.\nAnswer: i**(-1768\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 0*s + s - 153 + 154. Let d be w(2). Suppose -2*k + 4*h - 12 = 0, -d*h = 2*k - 4*h. Solve k*t - 2*z + 0*z = 2, -7 = 5*t - 2*z for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, o: 1, e: 2, d: 1, a: 5, c: 7}. What is prob of sequence cf?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -8 + 17 + -8 + 1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 9*s**2 + 72*s + 74. Give x(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 550245\/389 greater than or equal to 1415?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21427727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 0.3, -5\/2, 1\/19, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 0*m = 0. Let y = -30 - -42. Suppose m = 4*g - 4 - y. Solve 0*n + d = g*n - 16, -n - 5*d = -4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 71\/40 - (-7 + 3562\/520 - (-42)\/80).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (8834\/(-21))\/((-8)\/12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 10.98. Let l = -0.73 + -2.27. Which is the fourth biggest value? (a) 1 (b) l (c) -1\/4 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 2*d**2 - 3*d + 4. Let u be i(3). Solve 1 = -j, -u*g = -5*g - 5*j - 9 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1906 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -11, -35, -71, -119, -179, -251, -335?\n\"Answer: -6*f**2 - 6*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55535 is divided by 2642?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -17339320712 minus 0.2575?\nAnswer: -17339320712.2575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (649 - 1922 + 143410*d + 635 + 638)*(-d**3 + 0*d**3 - d**3) to the form j*d**4 + u + s*d**3 + p*d + y*d**2 and give j.\nAnswer: -286820","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -178.5 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 145*n**4 - 4833*n + 4574*n + 27*n**4 wrt n.\nAnswer: 2064*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 297783200 a multiple of 1507?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17.68999055 + 17.69. Round z to 6 decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1956, -3663, -5366, -7065, -8760, -10451, -12138?\n\"Answer: 2*v**2 - 1713*v - 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -98*d**5\/23 - 1148*d**4\/23 - 674*d**3\/23 + 1128*d**2\/23 + 792*d\/23 = 0?\nAnswer: -11, -6\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -251 - -258. What are the prime factors of ((-2)\/(-7) + 242\/11)*v?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 divided by 7?\nAnswer: 55\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 620388045 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b - 59. Let m be f(-31). Suppose -3*u = 4*n - 935, -4*u + u + 963 = -m*n. List the prime factors of u.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 124 and 5656.\nAnswer: 175336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/(-5))\/((-24)\/(-40)). Let p = -1.47 + -0.53. Which is the second smallest value? (a) p (b) r (c) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5034 divide 894211235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 20 - 4)*(-3 + 1 + 1)*(0 + 2*z + 0)*(11*z**2 - 8*z**2 + 4*z**2) as q*z**3 + d*z**2 + t*z + c and give q.\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 5 + 1. Suppose a*f - 63 = 91. Is f a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4094 + r**2 - 4094 to h + y*r**2 + o*r and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 12:25 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 <= 78\/159773?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -428*o**6\/15 - 31*o**2 - 77*o - 10. Differentiate k(p) wrt p.\nAnswer: -3424*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 298815900 by 14460.\nAnswer: 20665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65911146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -35*n - 138. Determine u(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 79 - 29 - 11*r + 6*r to the form d + v*r and give d.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/8)\/((-29)\/(-29))*-6.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(13) - (sqrt(1872) - (sqrt(1872) + 3))).\nAnswer: -2 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2137494235234.43059913 - -2137737868188.5306. Let n = 243632964 - r. Let c = n - 9.9. What is c rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8111970796?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 3 = -5*m, -4*w - 40*m + 2*m + 162 = 0 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 16\/(-208)*((-186)\/6 + 8).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 974, 54.6, -3?\nAnswer: 54.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h = -10 - 45 - 55 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - 2*w + 2. Let y = -9 + 11. Calculate b(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1*(2 + -1))\/(25\/(-100)). Let u be (3\/x)\/((-9)\/6). Let q be 2 + 1\/(28\/(-64)). What is the smallest value in q, u, 0, 9\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-18 - ((-2 - 1) + 2)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2589 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 20 + 35*m + 11*m + 9*m. Let b(a) = 8*a + 3. Give 20*b(s) - 3*j(s).\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13391 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qxmq when four letters picked without replacement from {q: 3, e: 2, m: 1, x: 2, k: 2, v: 2}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 707 = 4*c + 5*n, -4*n + 529 = 4*c - c. Let p = 328 - c. List the prime factors of p.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 + -17. Calculate the smallest common multiple of 6 and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28.1*-22.54.\nAnswer: -633.374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 107613 and 198.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, k: 3, j: 5}. Give prob of sequence rr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1*(sqrt(3) - (sqrt(36)*-1)\/sqrt(12))*1.\nAnswer: 1 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -183*c**3 + c**2 + 2*c + 1. Let r be x(-1). Let g = r - 49. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 - 11 + 11)*(0 + 2 + 1)*(4 - 2 - 1 + (-2 - 2 + 3)*(0 - 2 - 1))*(-4*a + a + 5*a).\nAnswer: -504*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lcx when three letters picked without replacement from lxllcxxyrhlxx?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 plus 42.86138?\nAnswer: 84.86138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 549 = -446. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 1:30 AM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/(-6))\/(((-1820)\/78)\/35).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/(-21))\/(6\/21). Calculate the remainder when (4 + 6 + 201)*s is divided by 43.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 8*a**3 - 11*a**2 - 11*a - 33. Let z(q) = 3*q**3 - 4*q**2 - 4*q - 11. Calculate 4*t(o) - 11*z(o).\nAnswer: -o**3 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -2, -0.71, -6 in descending order.\nAnswer: 1, 0, -0.71, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 41 - -433.792799465\nAnswer: 474.792799465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -81 - 34. Let s = j - -25. Suppose -2*i + 7 = c, -s*i + 3*c + 2 = -1. Solve -3*b = 3*y + 27, -i*b + y + 0*y - 7 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(9 + 258\/(-24))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 q when four letters picked without replacement from uqqqllq?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97, 105, 125, 163, 225, 317, 445?\nAnswer: 615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/186 and 26\/15.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4432?\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 496344 + 703656 = 0. Suppose b - z = 6*b. What is b rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38cee3 (base 15) to base 10.\nAnswer: 2726988","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.3 - -0.3. Which is the nearest to -2\/5? (a) 4 (b) t (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(208))*-6 + sqrt(208) + -1*(0 + sqrt(208)) + 5 + (-3 + 4 + 4*sqrt(13))**2.\nAnswer: -16*sqrt(13) + 220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6648, -13297, -19950, -26607?\nAnswer: -33268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -15121*q. Let u(g) = 162*g**2 + 4*g. Give k(u(n)).\nAnswer: -2449602*n**2 - 60484*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 5 = u. Suppose 0*c = -5*c + 2*y - 24, -u*c + 5*y - 18 = 0. Let j(x) = 11*x**2 + 8*x + 23. Is j(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -278 and 257494.\nAnswer: 257216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -2*r + 26 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*q + 5*g - 37 = 14*q, -25 = -5*q - 2*g. Solve 2*f = -q*z + 10, 0*f + 7 = -3*f + z for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -95*m**2 - 85*m + 10.\nAnswer: -5*(m + 1)*(19*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 + 25. What is the nearest to 1 in 0.2, y, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 11:51 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 15*m**2 - 24*m - 14. Let l = -15 - -38. Is b(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 535621317?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -43 + -1800b?\nAnswer: -18051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i - 1. Let t(x) = -5 - 6300*x - 1 + 6291*x. Give 3*t(g) - 21*u(g).\nAnswer: -6*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21.3 - 1.7. Let q = n - -29.7. Round q to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*t - 11 - 829 = -26*t for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 70*c**3\/13 + 354*c**2\/13 - 2256*c\/13 + 2536\/13.\nAnswer: 2*(c - 2)**2*(35*c + 317)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45338581?\nAnswer: 283, 160207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -63.4488 times -1\nAnswer: 63.4488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -90350041508 + -0.5\nAnswer: -90350041508.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 352 and 308.\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -158 - -653\/4. Determine z, given that 0 + j*z**3 + 4*z**2 + z + 9\/4*z**4 = 0.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**2 + 11*d - 17. Give y(-10).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 483 is divided by 38?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 34 + -3 + -7 + -30\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -803*t - 354864 = -2506*t - 3313*t - 89016 for t.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 4*i. Let c(g) = 4*g**2 + 52*g + 174. What is the remainder when x(-6) is divided by c(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 = -5*a - 4*t + 549, 2*t = -4. Is a a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10193 - -10192. Let t(r) = 7*r**2 + 3*r + 2. Give t(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-45 + (-38 - -30) - -36) + 2 + 1\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 150 and 78450.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 6 = 3*p, n = -0*p - 4*p - 25. Let h be 0\/(1 - 0)*3\/n. Suppose -124 = -h*a - 2*a. What are the prime factors of a?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -38*w + 40*w. Solve -12 = -9*i + w*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166*y**2 + 57*y**2 - 113*y**2 - 138*y**2.\nAnswer: -28*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.04, -1189\/5, -1.4, -0.5, -4, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.090024 - 0.163. Let f = j + 0.073. What is f rounded to 6 decimal places?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 335*p**6 + 33*p**2 wrt p.\nAnswer: 40200*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 70966260 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 2 = 2*s - 58, 6*s - 6*o = 78 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -111 - -110.9. What is the third smallest value in -1.1, d, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12.966 + -12.926. Let i be (2\/3)\/((-2)\/3). Put i, 4, 1\/9, z in decreasing order.\nAnswer: 4, 1\/9, z, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22.546 + 46143.\nAnswer: 46120.454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5345 divided by -1.\nAnswer: -5345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, m: 3, z: 16}. What is prob of picking 1 c, 1 m, and 2 z?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (135\/(-75))\/(1\/(-5)). Differentiate -z*a - a + 14 - 9*a + 8*a wrt a.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 4:15 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -180*i**4 + 622*i**3 - 336*i**2 - 360*i - 32 = 0?\nAnswer: -4\/9, -1\/10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 69*o**2 - 4*o + 98 + 5*o - 101. What are the prime factors of f(2)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3, -25, -1\/4, -23, 1.95, 2\/7?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*v**5\/5 - 4572*v**4\/5 - 10849*v**3\/5 - 8522*v**2\/5 - 476*v - 216\/5 = 0. Calculate v.\nAnswer: -54, -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120112002 (base 3) to base 11.\nAnswer: -8557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z**3 + 6*z**2 + 1. Let a(j) = -3*j**3 + 6*j**2 + 1. Let c(x) = 3*a(x) - 4*r(x). Let g be c(-6). What is the tens digit of ((-30)\/(-4))\/g*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2613 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**3 - 8*v + 44*v**3 + 10*v)*((2 + 2*v - 2)*(2 - 3 - 2) - 2*v + 2 - 2).\nAnswer: -368*v**4 - 16*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8 + (-30)\/(-3))*2\/2. What is the biggest value in -0.01, -0.3, v, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -550775824 take away -1756?\nAnswer: -550774068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(110) + -2*(sqrt(110) + sqrt(110) + -2*sqrt(110) + sqrt(110)))\/(-4*sqrt(10)*-2).\nAnswer: -1 - sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - ((-78)\/91 + 1\/(-7))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q + q - 4*q)*(q - 2*q - 2*q)*(-2 - 4 - 2) + (1 + 2*q - 1)*(q - 2 + 2) + 0*q**2 + 0*q**2 + q**2.\nAnswer: -165*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-4 - 1) + (21 - (20 + -40))\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15066 is divided by 71.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of -n**6\/900 - n**5\/100 - 4*n**3 + 9. Let f(t) be the third derivative of w(t). Solve f(y) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m**2 + 8*m. Suppose 9 = 5*l + c - 2*c, -4*l + 3*c + 5 = 0. Let z(b) = -16*b**2 - 41*b. Let d(q) = l*z(q) + 11*s(q). Let y = 2 - 7. Give d(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 818 by 5286.\nAnswer: 409\/2643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -0.5, 1, 0.3, -55, -0.07?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 359, 367, 377, 389, 403, 419, 437?\nAnswer: 457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05681 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11123 - -20916. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 4) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**2 - 2*k**2 - 10*k**2 - 11*k**2 + 17*k**2.\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38 + -50. Let t = -12 - n. Let p be (3\/6)\/(-3 + 1). Which is the second smallest value? (a) t (b) p (c) -2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -320 = -i - 321 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41387 is divided by 13535?\nAnswer: 782","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 22*n**3 + 640*n**2 + 18*n - 1160. What is v(-29)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10 is divided by (-11)\/1*(300\/(-55))\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -7. Solve 5*q + 3 = 4*w, -2*q - x*w + 3*w = -12 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**3 - x**2 + x - 3. Suppose 0 = -2*o + 2 + 2. Suppose 0 = o*z - 22 + 20. Let n(v) = v - 1. Determine z*n(l) - f(l).\nAnswer: 2*l**3 + l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/17? (a) 268 (b) -5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 7*h + 44 = 0. Suppose h - 21 = -2*a. Suppose -2*r + 4*l + 35 = -l, 3*l = -a*r + 10. Solve 0 = 2*y + 3*y - r for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vfv. What is prob of picking 1 f and 1 v?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 divided by 39.\nAnswer: -7\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 6*l**2 - 5*l + 3. Let n be i(-5). Let h(d) = n*d - d + 0*d + 4. Is 11 a factor of h(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110111100011 (base 2) in base 16?\nAnswer: -1de3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195705 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5726129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2912, -3, -7 in descending order.\nAnswer: 0, -3, -7, -2912","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of 113*f**7\/15 - f**4\/12 - 253*f**3 - 4505*f**2. Find the second derivative of n(j) wrt j.\nAnswer: 18984*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m - 8. Let n(t) = -208*t**2 - 11*t + 867. Let h(z) = 22*b(z) + 2*n(z). Differentiate h(a) with respect to a.\nAnswer: -832*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 9\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 69?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9176416 + 3241*h + 9176416 - 523*h.\nAnswer: 2718*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12083507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 496292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4185*c + 68944 + 439743 = -2549*c + 64243 for c.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 5)*((6 + 7*t - 6)*(-4 + 2 + 1) + 4*t + 0*t - 1 - 5*t)*(34*t - 4*t + 53*t).\nAnswer: -3984*t**2 - 498*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - -29. Calculate the greatest common divisor of 5 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and -17.053.\nAnswer: -16.653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 111111?\nAnswer: 111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) - (sqrt(91) - (sqrt(91) + (sqrt(91)*-5 + sqrt(91))*6 + sqrt(91))))\/(sqrt(77)\/(sqrt(1331) - sqrt(11))))**2.\nAnswer: 629200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 211599 from 8.\nAnswer: -211591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -32266, -57627, -82988?\n\"Answer: -25361*f - 6905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -428 divided by -724.\nAnswer: 107\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7bb (base 15) in base 2?\nAnswer: -11011010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17796435?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7680*q**4 + 304*q**3 + 11*q**2 + 350641*q + 1 wrt q.\nAnswer: -184320*q + 1824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3366964411 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 5:57 PM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180572091?\nAnswer: 3, 7, 293, 29347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y. Let n = 8 - 5. Let o(r) = r + 6*r - n*r. Determine o(w(f)).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-305*z + 10285 - 10285)*(-z**3 + 6 - 6) to f*z**2 + i*z + r + q*z**4 + l*z**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of 0 + 1\/6*o**4 + 8*o**2 + 0*o + 1\/120*o**6 + 1\/12*o**5 - 1\/6*o**3. What is r(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 235914?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12996 divided by 2166?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3\/5 + 744*i**2 + 7431*i\/5 + 3714\/5.\nAnswer: 3*(i + 1)**2*(i + 1238)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52 - 154 + 53 + 49 + 108*b**2.\nAnswer: 108*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -72 - -66. Let s(r) be the second derivative of r**4\/12 + r**3 + 2*r**2 + r. Let u be s(j). What is the second biggest value in u, -1\/6, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (49569\/(-369) + 153)\/((-7)\/(-18)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203*n + 8964 + 23922 = 0. Suppose j - 1 - 5 = 0. What is the highest common factor of j and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/((x\/x**(2\/3))\/x)*x\/(x*x*x*(x\/x**1*x)\/x)*x**(-2\/5)\/x*x**8 assuming x is positive.\nAnswer: x**(94\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2021 - 1334*f + 1012 + 1009 - 3*f + f + 6*f - 1 + 1 - 2*f + (-1 + 0 - 1)*(-3 + 3 + 2*f) - 4*f + 4*f - f + 2*f + f - f.\nAnswer: -1335*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 18822 (base 13) in base 6?\nAnswer: 1003553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -4*w + 14, -5*w + 13 = -r - w for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 104 + 73 = 4*i, 0 = -4*h + 9*i - 4*i - 0*i for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 151\/4*i**4 - 59\/2*i + 4 + 17\/4*i**5 + 101\/4*i**3 - 167\/4*i**2 = 0. Calculate i.\nAnswer: -8, -1, 2\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -372, 1, 5258 in descending order.\nAnswer: 5258, 1, -372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3394.96 - -3292. Let f = -0.96 - b. Let w = -102.000125 + f. Round w to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -11, -0.4, 0.4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 121*v**2 + 28*v + 48. Does 13 divide a(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 451037373 to the power of 1\/3, to the nearest integer?\nAnswer: 767","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - (4 + (8 - 9) + 10 + -3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - g = 13, 197954*a - 33 = 197956*a + 5*g for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 - 25. Let y(r) be the second derivative of -1\/6*r**3 + t*r**2 + r + 0. Let f(p) = -p. Determine y(f(c)).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-9)*3 + 1. Suppose 3*y + 53700 = 3*d, -5*y - 51493 = -z*d + 2207. Round d to the nearest 1000.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -155*w**2 - 17*w + 4. Let m(y) = -155*y**2 - 18*y + 4. Let h(t) = -5*m(t) + 4*n(t). Is h(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2238*t**3 + 2242*t**3 + 2*t + 7*t + 1 to a*t**3 + b*t**2 + q*t + f and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of -h**5\/60 + h**2. Let l(r) = -1. Let p(t) = 8*t + 14. Let n(i) = 28*l(i) + 2*p(i). Give b(n(a)).\nAnswer: -256*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52b5 (base 16) to base 4.\nAnswer: 11022311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 1\/5, 1\/7, 2\/147949?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 2:24 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = 45 - 63 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 8193080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5925408, -5925417, -5925430, -5925447, -5925468?\nAnswer: -5925493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 24*b - 228. Give o(10).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -100 - -45631.2148229.\nAnswer: 45531.2148229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q = 4*q - 3*w - 195, 2*q - 2*w + 62 = 0. Let a = -2 - q. What is the remainder when a is divided by 24\/(-2)*2\/(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 4*f + 9*f + 31, -5*f - 52 = -2*l. Suppose 7*q - 11*q = -12. What is the remainder when l is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 8*h**2 + 22*h + 11. Let j(w) = w**2 - w + 10. Let c be j(-3). Suppose -3*l = c + 17. Is p(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j*j\/(j**(-6)\/j)))\/(j\/(j**6*j)*j)*j\/j**5*j**(-4)\/j*j*j assuming j is positive.\nAnswer: j**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 60 = -215. Suppose -3*s = -5*l - 0*l + 35, -4*s + 3*l = 32. Let n = t + s. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 79*d**2 - 16*d. Let z(q) = -25*q**2 + 5*q. Let m(a) = 6*y(a) + 19*z(a). Let v(h) = 9*h**2 + 3*h - 1. What is 5*m(i) + v(i)?\nAnswer: 4*i**2 - 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -45 - ((-20)\/1 - 12)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7 or 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*c**3 - 5*c**2 + 5*c**2 - 6)*(-c - 371131 + 370949 + 0*c) as w*c**3 + g*c**4 + i*c**2 + n + o*c and give n.\nAnswer: 1092","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 + 0)*(k**2 + k**2 - 3*k**2) - 6*k - 5*k**2 + 6*k - 3*k + 3*k + k**2.\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*v = -3366 + 3521 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -2*a**3\/3 - 42*a**2 - 882*a - 6174 = 0.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does -2 = 59404\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23 - (10 - 28)) + 4.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 58545390 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/3903 and 27\/250.\nAnswer: 975750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/430 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 189.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -3.9. Let p = 0.1 - m. Let z(v) = -v**2 - 3*v + 1. Let y be z(0). Which is the nearest to 0.1? (a) 2 (b) y (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -10739724, -10739719, -10739712, -10739703, -10739692, -10739679?\n\"Answer: g**2 + 2*g - 10739727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -387, -1259, -2721, -4779, -7439, -10707, -14589?\nAnswer: -19091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/(-35) - (-16)\/14. Let x(o) = -2*o**3 - o**2 + 2*o - 1. Determine x(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71 - (45 - (55 + -94)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*m**3 - 2*m**3 - 2*m**3 + (4 - 4 + 22*m)*(-m**2 - 2*m**2 + 5*m**2).\nAnswer: 46*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 40385783?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 515.1193 micrometers?\nAnswer: 0.05151193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xa when two letters picked without replacement from {a: 1, l: 5, d: 4, x: 1}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -757497, -757493, -757487, -757479, -757469, -757457?\nAnswer: -757443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146812?\nAnswer: 2, 17, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 3 = 3*j, 3*l - 3 = -0*l. Suppose -3*m + 2*m - q - 2 = 0, j = -5*m + 5*q + 30. Let d(s) = -4*s + 32*s**m - 15*s**2 - 16*s**2. Determine d(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 AM and 11:56 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*(f\/f**(-2))\/f*f\/(f*f*(f*f\/f**12)\/f))**42 assuming f is positive.\nAnswer: f**588","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002134 to four decimal places.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16855*1\/(-7)*-14?\nAnswer: 2, 5, 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 u when two letters picked without replacement from {k: 1, u: 2}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1629720 + -9?\nAnswer: -1629729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 205 (base 6) to base 13.\nAnswer: 5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 3. Let l = 0.2 - -0.3. Let j = 36101.3 + -36101. Which is the third biggest value? (a) j (b) s (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, -4, 0.934, -3\/5, 0.4, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 109.\nAnswer: -4\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 137\/((-391272)\/(-108500)) - 38.\nAnswer: -1\/102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 4. Suppose -k + 212 = u*k. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 35 = 3*v, 11148*k - 140 = -v + 11159*k for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -179, -174, -165, -152?\n\"Answer: 2*q**2 - q - 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 5*z - 116, -z = 1 + 3. Let l be 207441\/h + 2\/(-8). Let t = -8654 + l. Calculate the common denominator of t and -73\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 264?\nAnswer: -7\/264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 308.27568 and -1?\nAnswer: 309.27568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -683 + 416 - (-1 - 146)\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u**3 - u - 1. Let f be j(-1). Let w = 2 - 3. Let y = w - f. Calculate the remainder when y is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2*p + p = 19, -2*p = -2*l - 8. Solve -z - l = 2*i, 3*z - 5*i - 13 = -5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1600 and 3400?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 28*f**4 + 43*f**3 - 5*f**2 + 7. Let k(z) = 9*z**4 + 14*z**3 - 2*z**2 + 2. Let o(w) = -7*k(w) + 2*l(w). Factor o(a).\nAnswer: -a**2*(a + 2)*(7*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) 74\/7 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*n + 8 = -8*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 158889*t**4 + 265225*t?\nAnswer: 1906668*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3*v**3 - 6*v**2 + 15*v - 6. Let t be f(4). Let p = 237 + t. Solve 0 = -5*a + 2 + p for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/((-7)\/(-35) + (-4)\/(-5)). Let h(k) be the second derivative of x - 1\/12*k**4 + 1\/6*k**3 + 3*k + 1\/2*k**2. What is h(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6044*j + 1953*j + 13550 = 1222*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 276439 rounded to the nearest 1000?\nAnswer: 276000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 10225948 in increasing order.\nAnswer: -4, 1, 10225948","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3021333230 - 13321?\nAnswer: 3021313303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 338504769*x**6 + 2072*x**2 - 357*x - 18.\nAnswer: 40620572280*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o + 4*q + 41, -4*q + 45 = o + 58 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2936 by 367.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of 2 + 2*d - 1\/3*d**3 + 5\/2*d**2. Suppose -26 = -3*g - 11. What is u(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 2.9. Let p be -4 + 9 - 10\/2. Let z = -57\/253 + 1\/23. Which is the second biggest value? (a) z (b) p (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -859335*z**2 + 34*z**3 + 0*z - 2*z + 2*z + 1414 - 1412 + 859335*z**2.\nAnswer: 34*z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 14308960 * 3\nAnswer: 42926880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*r)*(r**3 - 1 + 1) + (-836 - 781*r + 836)*(4*r**3 - 2*r**3 - 3*r**3).\nAnswer: 783*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*h**3 + h + 2 + 72*h**4 + 2*h**3 - 4*h**3 - 68*h**4 in the form o*h**3 + r*h**4 + x*h**2 + a + s*h and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y + 12. Let r be j(7). Let c = 17 - r. Let u = c + -7. Calculate the greatest common factor of u and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 61387.79um?\nAnswer: 0.06138779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of 23\/5*c**5 + 0*c**4 + 0*c - 2*c**3 + 0*c**2 - 18. What is the third derivative of q(x) wrt x?\nAnswer: 552*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p + 3. Let l be u(-4). Let j be (1\/6)\/((-18)\/((-4536)\/(-20))). Is l bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*k + 1125 + 125. Let s = 125 + k. Solve -3*r + s = 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3258)\/66 + 49)\/(-8 - 2).\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60617.42 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 34 - 3?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - 20*t + 103. Give g(-24).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45 + 15 - 30)*(3*x - 2*x + 0*x) + 8*x - 9*x - 3*x.\nAnswer: 26*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 2*f - 9, -2*f - c = 3*c - 44. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**3 + 38*a**2 - 110*a + 99. Give r(-22).\nAnswer: -385","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 411\/5 or -196?\nAnswer: -196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 2 + (-8 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven halves of a tonne?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152)*-2 - sqrt(152))\/sqrt(8) + (-1 + sqrt(19) + sqrt(19))*1)**2 + sqrt(228)\/((sqrt(108)*2 + sqrt(108) + sqrt(108))\/sqrt(9)).\nAnswer: 9*sqrt(19)\/4 + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 71 - 11 = 0. Let t = r - -1. Let m be (-86)\/6 - 6\/9. Is m greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 710919 is divided by 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -93 (base 15) to base 13\nAnswer: -a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, p: 2, m: 4}. What is prob of picking 4 m?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -3 + 2 + -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -5530300 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-750)\/30)\/((-35)\/28) - 20.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 9708235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3600\/648*(0 + 30\/(-247)). Let o = u - -2\/247. Which is the biggest value? (a) o (b) 0 (c) 5 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2*b = k, 2*k = 5*b + 21. Let x be 1 + k\/4*2. Suppose 5*f = 60 - x. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 453 = -u - 3*v, 0 = -5*u - v + 739. Let f = u + 50. Let j = -118 + f. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**2 + z - 1. Calculate x(-4).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 7*m = 1399. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - -15951.8?\nAnswer: 15951.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 289882?\nAnswer: 2, 144941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47954461?\nAnswer: 19, 41, 61559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 302152083 to the power of 1\/5, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000820795 to 5 decimal places.\nAnswer: 0.00082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3189.93 + 3189. Let d be 5\/(195\/(-33)) + 1. Which is the third biggest value? (a) -3 (b) r (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-6))\/2*(-4401)\/815.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**2 + v**2 + v**5 + (-3*v + 5*v + 0*v)*(4*v**4 - 5*v**4 + 0*v**4) + 0*v**3 + 0*v**3 - 2*v**5 - 6*v**5 - 3*v + 3*v.\nAnswer: -9*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 443613 + -286?\nAnswer: 443316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 424938 + -145459. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 2 = -10, 0 = 3*m + 3*a - 18. Let x be ((-4)\/(4\/3))\/(-1). Let k(f) = -3*f + 8*f + x*f**2 - 3 - 2*f**2 - 2*f**2. What is k(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.038 + 7.962. Let i be 72\/32*(-9)\/(-81). Let n = 0 - 0. What is the biggest value in i, j, 0.1, n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 95 + -92. Let u(d) = -2*d - 5*d - d**k + 8*d. Let j(c) = -2*c**3 + 2*c. Let l(z) = -z**2 - 4*z + 2. Let q be l(-5). Calculate q*j(b) + 4*u(b).\nAnswer: 2*b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 3*j - 5 = 0, 10*p - 12*p - j - 15 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46848630 and 522?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.64951358 * -0.4.\nAnswer: -0.259805432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1435)\/385 - -1)\/(3\/44*(-1 + 0))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 3*g + 2 = 0, 0 = -4*x + 3*x - g + 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1110, -1650, -2534, -3756, -5310, -7190, -9390, -11904?\n\"Answer: r**3 - 178*r**2 - 13*r - 920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8\/5 in 2\/19, 1, 3, -2671, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 34404 or 34696?\nAnswer: 34696","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 189 and 357.\nAnswer: 3213","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 13218*o - 118942. Calculate u(9).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 3 = -f, 2*f = -2*v + 3*f - 8 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t - 2*t**3 + t + (2*t - 2*t - 6*t**2)*(2*t + 2 - 2) - t**3 - t**3 - 2*t**3 - 3*t**3 + t**3 + 4*t**3.\nAnswer: -16*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(117)*2)\/(3*(sqrt(9)*-1 + sqrt(9) - sqrt(9))) + -2.\nAnswer: -2*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 8*t + 19 = 3*t, -15 = 3*t. Let g be 7\/(63\/(-6))*a. Suppose 3*b - 23 = -s, -b + s + 19 = 3*b. Solve 0*d = g*d - b for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 40055, -459, 2 in decreasing order.\nAnswer: 40055, 2, -459","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 6*n - 5*n - 4, -1461*n - 5*w - 10 = -1462*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/65 or 0?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.17 (b) -2 (c) -30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 less than -30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -205, -415, -625, -835, -1045?\nAnswer: -1255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 204 + 76. Suppose 2*f + 0*f + 45 = r, f = -5*r + x. List the prime factors of r.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 15.1684, 1 in descending order.\nAnswer: 15.1684, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-3\/4)*u)\/u**(2\/5))**(5\/7))**32 assuming u is positive.\nAnswer: u**(-24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m + 9. Let u be c(-10). Suppose 4*j - u = -11. Solve j*n + 0 = -2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 35069822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2799? (a) 2 (b) -7 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13478279987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.9 - 13.3. Let x = -33.3 - l. What is x rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5268886 and 92?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 566 - 561. Let c(y) be the second derivative of -125\/42*y**7 + 0 - 2\/3*y**4 + 0*y**3 - 3*y**5 - v*y**6 - 3*y + 0*y**2. Factor c(s).\nAnswer: -s**2*(5*s + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -101*f - 43*f + 33*f in the form k + q*f and give q.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(((-12)\/(-33))\/4)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1697331.\nAnswer: 3, 17, 23, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*o - 2*f, -3 = 5*f + 2. Suppose -19 = -w + 5*h, 15 = w + 4*w - o*h. Let n(r) = -517*r - 2. Is n(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzrzrrzzzrzzzr. Give prob of sequence rrrz.\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4 = -0*d - 4*p, 3*p + 33 = 3*d. Let m(k) = 2*k - 3. Let n be m(3). Suppose 0 = -2*v - n*v + 115. Calculate the remainder when v is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.016915203238 rounded to 6 dps?\nAnswer: -0.016915","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -9*i**2 + 12*i + 25. Let j(a) = 5*a**2 - 6*a - 12. Let k(p) = -4*b(p) - 7*j(p). Let c be k(-5). Is 10 a factor of c + (5\/(-1))\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 1. Let z = -846 + 856. What is the least common multiple of z and (-27)\/(2\/l - 2)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 - 22. Which is the closest to -1\/3? (a) -0.3 (b) p (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/13 - 10*u**2\/13 + 14*u\/13 - 6\/13.\nAnswer: 2*(u - 3)*(u - 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -8*h**3 - 56*h**2 - 467*h - 3263. Determine x(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1026 and 874.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 10:21 AM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17900020, -35800032, -53700044?\nAnswer: -71600056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 2:55 PM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yjyujjuuuoup. What is prob of sequence yyo?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -8781613 less than or equal to -8781614?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 105432985?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9282 and 18?\nAnswer: 27846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 1400244?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4783 = 28*q - 7341. Round q to the nearest 10.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 18367*o**3 + 36751*o**3 + o - 18356*o**3 + 7*o**2 as c + a*o + u*o**2 + v*o**3 and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 - 37*z - 320. Let p be o(-23). Which is the second biggest value? (a) p (b) 4 (c) -2\/3 (d) -5 (e) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w. Let g(o) = o. Let i(u) = -6*c(u) - 2*g(u). Let j(f) be the third derivative of -25*f**4\/24 + 2*f**2 + 12393. Determine i(j(l)).\nAnswer: -100*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14226?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (33\/3 - 13) + 681.\nAnswer: 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 1638 = -3*d, -d - 2174 = -6*u + 2*u. What is the highest common factor of 459 and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -11*w - 2. Suppose -5 = -x + 1. Let c(s) = 2*s + 1. Let n(b) = -5*b - 2. Let g(o) = 5*c(o) + 3*n(o). Determine x*m(k) - 13*g(k).\nAnswer: -k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -0*r + 3*r, -9 = -2*d - 3*r. Let v(p) = -9 + d*p**2 - 4*p - 3*p**3 + 5*p**3 - 2*p**2 - 3*p**3. What are the prime factors of v(9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -943*v**2 + 92. Let h(j) = -735 + 370 + 360 + 51*j**2. Give 92*h(n) + 5*u(n).\nAnswer: -23*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 + 3 + 42*h + 11 in the form l + t*h and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2146 and 592.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 8 = 4*t, 3*q + 0*t = 5*t - 16. Suppose 7 = o - q. Solve -o*y**2 - 2*y - 3*y + y = 0.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -22 + 30 + 28*t**2 - 33*t**2 - 8. Let n(v) = 37*v + 1. Determine n(i(p)).\nAnswer: -185*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 50181.\nAnswer: 100362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 133 + 351.6.\nAnswer: 484.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/31 or -106?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 2)*(-d**5 + 2*d**5 + 0*d**5) - 4*d**3 + 4*d**3 - 5*d**5.\nAnswer: -7*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1702 times 1257\nAnswer: 2139414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2595139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19368 divided by 1614.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/21, -1, -55, 21\/2, -0.7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2101212 (base 4) to base 16\nAnswer: 2466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 32, -2\/7, -1\/6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10816 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q + 2. Let g(m) = -1. Let c(v) = -5*g(v) - n(v). Let t be (-14)\/18 - 32\/144 - -6. Let y(k) = 4*k - 5. Determine t*c(f) + 3*y(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0203 + 7125871?\nAnswer: 7125871.0203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5043, 3839, 1833, -975?\n\"Answer: -401*i**2 - i + 5445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 10 = -i. Suppose -16 = 4*k, -2*w - i*w = -3*k - 76. Solve 5*p = -5*r, -3*r - w = -0*r - p for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-5)\/10*2)\/(-1). Let x be (-6*5\/(-3))\/m. Calculate the highest common factor of 110 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 + (-10 - 6 - (-17 - -15 - 3))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 473 + 174. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 2)*(-10*c + 0 + 0)*(2515 - 2515 + 39*c).\nAnswer: -1560*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 13*m**2 - 21*m - 6. Is q(15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6330 and -1.\nAnswer: 6330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-45518*k**2 + 862*k**4 + 45518*k**2)*(3 - 1 - 4) to the form f*k**4 + l + p*k**2 + z*k + i*k**3 and give f.\nAnswer: -1724","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 732 and 2257.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 976 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -5*q**2 - 8*q**2 - 14*q**2 + 19*q**2. Let o(t) = 3*t. What is o(y(c))?\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.212 less than -1154?\nAnswer: -1147.788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31374 + -31373.999971426. What is k rounded to 7 decimal places?\nAnswer: 0.0000286","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 713225?\nAnswer: 5, 47, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - -13) + (-16)\/8. Suppose -11 = j - 4*t, 4*j - 8*j - 2*t + 28 = 0. What is the units digit of (n - 3)*(j + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p - 5. Let c be j(4). Let x be 58*(-1 + 3\/(-2)). Let d be x\/(-420) + (-1)\/4. Is d greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 6, -27\/2, 2\/11, 1 in decreasing order.\nAnswer: 6, 2, 1, 2\/11, -27\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 4*u**3 + u**2 - 5*u - 6. Let j(n) = 11*n**3 + 3*n**2 - 14*n - 17. What is -17*c(x) + 6*j(x)?\nAnswer: -2*x**3 + x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -712.8664 + -0.1336. Let x = r - -708. Sort 5, x, -3\/2, 0.2 in increasing order.\nAnswer: x, -3\/2, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-96*r - 208*r - 14 - 84*r)*(0*r**3 + 2*r**4 - 2*r**3 + r**3).\nAnswer: -776*r**5 + 360*r**4 + 14*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 605727465*n**3 - 47*n**2 - 3562*n - 11?\nAnswer: 3634364790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 8 = -0. Let w(t) = -4*t - 10. Is w(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**3\/13 + 40064*u**2 = 0 for u.\nAnswer: 0, 260416","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 11 - 1 = 0. Let x be (9\/(-6))\/(2\/(-4)*1). Solve x*n - 7 = -o for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 48 - 47.5. Let u = 1255 - 1255. What is the closest to u in s, 0, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.1 - 1. Let v = -0.35 - -0.05. Let y = -0.0281 - 2.9719. Which is the closest to u? (a) y (b) 0.1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 51199, 51198, 51201, 51214, 51243, 51294?\n\"Answer: p**3 - 4*p**2 + 4*p + 51198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50156 is divided by 55.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 2*x + 3*u + 21, 10 = -2*u. Let d(s) = 2*s**2 - 2*s + 2. Let a(j) = 3 - 3 - 4 + 5*j - 4*j**2. Let q(c) = x*a(c) - 15*d(c). Differentiate q(g) wrt g.\nAnswer: -12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -601 - -604. Solve 0 = -5*c - x - 3*x - i, -c + 11 = -5*x for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 11, r: 1}. What is prob of sequence hh?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 2548*b + 2547*b + 15 = 0, 2*b = -3*h - 26 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*w + 69. Solve 5*p - p = 5*n + w, -3*p - n = -13 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3 + 6611*u**2 + 13225*u + 6613.\nAnswer: -(u - 6613)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 + 3)*(12*g - 37 + 37)*(1 - 2 + 5) to the form b*g + p and give b.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 425 - -2320254?\nAnswer: 2321123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 453727703, 453727704, 453727705?\n\"Answer: p + 453727702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.14 - 0.14. Which is the biggest value? (a) j (b) -0.4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*t**3 + 5*t**3 + 9*t**3)*(5 - 4 + 1) + 3*t**3 - t**3 - 4*t**3 + (-3*t - t + 5*t)*(3*t**2 - 2*t**2 + 0*t**2) to l*t**3 + d*t + p*t**2 + n and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 + 0.3. Let s be (216\/(-15))\/(-3)*5. Let h be 2\/6*s\/(-20). Which is the third smallest value? (a) -3 (b) h (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 8:45 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 458.7295 millennia?\nAnswer: 4587.295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -333\/5, 0.4, 46, -7 in increasing order.\nAnswer: -333\/5, -7, 0.4, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 36353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6669\/12825)\/((-130)\/75).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 776 - 824 = 3*d - 2*p, -d + 3*p = 86 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 5:21 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 + 33. Suppose 0*u = t*u - 10. Calculate the smallest common multiple of u and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of -j**6\/120 + 3*j**5\/5 - 67*j**4\/24 - 17*j**3\/3 + 20*j**2. Let s be a(34). Solve s = -u - u + 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167519402 to the power of 1\/2, to the nearest integer?\nAnswer: 12943","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddj when four letters picked without replacement from jrdrdjdj.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1002748 - -402339. Let y = c - -600409.0499963. Let t = -0.05 + y. Round t to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1308?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 - -38. Let u be (-24)\/(-14) + 6\/l. Solve -u*q - q = 9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 369150447 divided by -123050149.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o + 9 + 2*o - o. Suppose 0 = 3*s + 2*s. Suppose 3*u = 9, -u = -s*j - j - 3. Calculate z(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of b**4\/24 - 6*b**2. Let m(p) = -19*p**2. Calculate j(m(v)).\nAnswer: -19*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39483085 - -1623.292.\nAnswer: -39481461.708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5776429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1619, 2622, 3625?\n\"Answer: 1003*q + 616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/60)\/(-4 - -2).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 841684.\nAnswer: 2, 210421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gl when two letters picked without replacement from {u: 5, j: 1, l: 2, g: 2, v: 1, q: 2}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 27*o + 6. What is the tens digit of v(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0497 + 1.1\nAnswer: 1.0503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-3\/7)*m)\/m**(8\/3)*m**(-5)\/(m*m**(-2\/3)))**(-2\/113) assuming m is positive.\nAnswer: m**(104\/791)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 q when two letters picked without replacement from xgqqxggqqgqfggxqgg?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2304182 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 6731116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -79.76 - -79.36. Let n = -7\/4 - -1\/4. Let s = -7\/6 - n. Which is the closest to d? (a) s (b) 2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 189*j**2 + 56*j - 56. Let h(s) = -10*s**2 - 3*s + 3. Let k(b) = 56*h(b) + 3*r(b). Let z(d) = d**2. Give z(k(m)).\nAnswer: 49*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d = 1174*q - 1178*q - 16, 4*d + 6 = -5*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 - 302\/(-8) - (-149)\/596 and 28.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -28 in -5, 2\/9, 0.5, -2\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1140046866?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 11*v. Let k(j) = 46*j**2 - 27*j**2 - 16*j**2. What is m(k(c))?\nAnswer: 33*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1180 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: Subtract 7534690 from 5368.\nAnswer: -7529322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2105*b**3 + 16549*b**2.\nAnswer: 12630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2 + 2*x**2 - 14*x - 3 + 0*x**2 - 9.\nAnswer: -2*(x + 1)*(x + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -136, -242, -418, -664, -980, -1366?\n\"Answer: -35*v**2 - v - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -195.9919 - -196. Round s to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (136\/(-51))\/(2\/3). Let p be ((-3)\/2)\/(-6*j\/(-64)). Find the first derivative of -9*a**4 - 26 + 12*a**4 + 6 + 13*a**p wrt a.\nAnswer: 64*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 + q - 1. Suppose 0 = -4*r + 2*s + 34, s + 9 = 4*r + 4*s. Let k(v) = -3*v**2 - 6*v - 6*v**2 + 7 - 1. Give r*x(m) + k(m).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5*h = 0. Suppose 0 = -h*z + 2*z - 2. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38)\/340*33920\/(-161120).\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4883 a factor of 1242391456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*b + 7. Let x = 75 - 70. Let w = -3.3 + -0.7. Sort b, w, x.\nAnswer: w, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-72)\/42*(6 - (-119)\/(-28))*2. Let g be (-14 + 16)\/(((-8)\/(-6))\/(-2)). What is the biggest value in t, -4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 794373695 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 384*u**2 - 129*u + 641. What is the thousands digit of n(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 v when two letters picked without replacement from {h: 7, v: 12}.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of -2*o**7\/105 - 416*o**6\/15 - 86528*o**5\/5 - 17997824*o**4\/3 - 3743547392*o**3\/3 + 680*o**2. Factor k(c).\nAnswer: -4*(c + 208)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, 8.9, 1\/3 in descending order.\nAnswer: 8.9, 1\/3, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 36, 146, 346, 648, 1064, 1606, 2286?\n\"Answer: 2*h**3 + 33*h**2 - 3*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 687112 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -425 - -578. Suppose -o = -m - 47, 0 = 4*o + 2*m + 3*m - 143. Suppose o = 3*r - 9. Calculate the highest common factor of n and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 630 is divided by 125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-77)\/99*(-3 + 2).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.16415 to three decimal places.\nAnswer: -0.164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/3 - (-130)\/39. Suppose d*j = 19 + 17. Suppose -2*l - 10 = 2*g + 2*g, -3*l = -2*g - j. What is the greatest common factor of l and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of z**6\/120 - 3*z**5\/10 - 5*z**4\/8 + 23*z**3\/6 + 8*z**2. What is the units digit of i(19)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-13)\/((-3)\/(-4) + (-14)\/8). Let k = 1 + -3. Calculate the lowest common multiple of 2 and c + (-1 - k) + 0.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/sqrt(196) + sqrt(11))**2 - (sqrt(55)\/sqrt(5) + 5).\nAnswer: -sqrt(11) + 459\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 5*o**2 - 9*o - 14. Let m(z) = -6*z**2 + 9*z + 16. Let h = 272 - 277. Let v(g) = h*t(g) - 4*m(g). Give v(8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 17*u**3 - 3*u + 2. Suppose 0 = -3*v + 5*i + 13, 3*v - 212*i + 208*i = 11. What is c(v)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/12)\/((8697\/2574)\/(-223)).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 6*d + 44. Let c be b(-10). What are the prime factors of 343 + 0 + (c - -2 - 10)?\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 5, -5, -7, 3 in decreasing order.\nAnswer: 7, 5, 3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*n - 2*f - 448, -3*f - 136 + 196 = 2*n for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 87. Let s(j) = -571. Let p(k) = 6*s(k) + 39*y(k). Let o(q) = -q - 65. What is 2*o(f) - 5*p(f)?\nAnswer: -2*f + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5*(2 + sqrt(320) + sqrt(320) + sqrt(320) + 0 + sqrt(320) + -1)*3)**2*4*3.\nAnswer: 1036800*sqrt(5) + 82960200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*2*sqrt(204)*2)\/(sqrt(36)\/(sqrt(6)\/sqrt(2)) + sqrt(768)\/sqrt(4)))**2.\nAnswer: 9792\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 2.9. Let z = 5 + -3. Let f be (2\/(-6))\/(1\/z). What is the second smallest value in q, -0.3, f?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -922 - -2582. Let r be (-2)\/10 + g\/50. Suppose -2*x + 11 = -3*s + r, 2*x = -s + 10. Solve -3*n + s = -4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-63)\/108)\/((-1190)\/80).\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.8 - -0.8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 4 - 3*b - b + 6*b**2 - 5*b**2. Let l = -15 + 15. Let d be (0 + (1 - l))*3. What is x(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 135 and 24275889?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 6 (c) 2 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 5*b + 0 = -4, q + 2*b - 12 = 0. Let v be (-22)\/(-8) + 1\/q. Suppose -v*x - 11 = -4*x. List the prime factors of x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/16080 and -29\/80400.\nAnswer: 80400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6863, 14517, 22305, 30221, 38259?\nAnswer: 46413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1637548 decades in centuries?\nAnswer: 0.01637548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5883.\nAnswer: 3, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -6*j**4 - 519*j**3 + 14023*j**2 - 22*j + 11. Let x(i) = i**4 + 104*i**3 - 2805*i**2 + 4*i - 2. Let v(b) = 6*h(b) + 33*x(b). Factor v(m).\nAnswer: -3*m**2*(m - 53)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45175 and 1417.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9691626991 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -227138*j**4\/3 + 4241482*j**3\/3 - 11905520*j**2\/3 - 26674208*j = 0.\nAnswer: -3, 0, 3652\/337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5*w + 22 = -0*u, -5*u - 3*w = 26. Let d(k) = k**2 + 7*k**3 + 6*k - 7*k**2 + 5 - 8*k**3. What are the prime factors of d(u)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -1\/2*f**2 + 1\/6*f**3 + 0 + f. Let p(a) be the second derivative of a**3\/2 - 5*a**2\/2 - 31*a. Determine p(m) - 5*y(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -77*n**4\/4 - n**3 + 13*n + 445. Differentiate i(f) wrt f.\nAnswer: -231*f**2 - 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -60*d**2*i*o**3 - d**2*i*o - 2*d**2*o**3 - 2*d**2*o**2 + d**2 - d*o**2 + 7*i*o**3 - 3*i*o**2 wrt o?\nAnswer: -360*d**2*i - 12*d**2 + 42*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y - 9. Let h be x(-5). Is 16\/28 + (-10996)\/h a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56637 is divided by 18870.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 3 = -q. Let m be 62\/q*18\/12. Suppose g - 46 = m. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -8 - 6 + 18*q - 6 - 6*q**2. Let l(o) = -o + 1. Let m(v) = -5*l(v) - s(v). Is m(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10142*d**3\/9 - 30422*d**2\/9 - 4*d\/3.\nAnswer: 2*d*(d - 3)*(5071*d + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -1394400 to the nearest one hundred thousand.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand t - 4*t**2 - t + (3*t - t - 3*t)*(1 + t + 0 + 0).\nAnswer: -5*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 - -1021021?\nAnswer: 1020222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of z**7\/630 - z**6\/60 + 13*z**5\/180 - z**4\/6 + 2*z**3\/9 - 17*z**2. Factor p(f).\nAnswer: (f - 2)**2*(f - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217294 is divided by 151?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.083 times 114?\nAnswer: 9.462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 118 (base 11) in base 16?\nAnswer: 8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 40384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-210)\/7*(82\/123)\/((-4)\/(-3)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48 - 33 - (5 - 2)) + (-5 - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -876, -863, -848, -831?\nAnswer: -812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4571 (base 11) to base 9\nAnswer: 8214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 2766?\nAnswer: 30426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 23*u**2 - 9*u - 13. Let c(a) = 12*a**2 - 4*a - 6. Let m be -1*14 + 20 + -30 + 11. What is m*c(j) + 6*q(j)?\nAnswer: -18*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from drrrrrrwrrrdw. Give prob of picking 2 d.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -5*l**3\/3 + 5*l**2\/2 - 80. Let a(t) = t**3 + 6*t**2 - 6*t. Give 5*a(x) + 6*h(x).\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 5*d = 0, 2*z - 3*d - 34 = 26 - 59 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2242*g**4 - 2*g**3 - 6712*g?\nAnswer: -26904*g**2 - 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b = -14*b + 10. Suppose -x - b*x - 60 = 0. What are the prime factors of 243\/3*x\/(-30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 5. Let k be (21\/6 + -4)*4. Sort k, 1, a.\nAnswer: k, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 31) + (119 - 122) + (11 - -2).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from iizizzl.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*(-3)\/(-12)*-1. Let g be (-5)\/(-3) - i\/3. Find the second derivative of 8*s**2 + 2*s + 3*s**2 + 2*s**2 - 7*s**g wrt s.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -97542*a + 22239576. Determine c(228).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1383 - 21299*k + 1383.\nAnswer: -21299*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 12*y**2 - 10*y - 1. What is w(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*r + 21443387 = 21452907 for r.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 140244 and 3672942.\nAnswer: 2418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42184513552*n + 42184513552*n + 44*n**2.\nAnswer: 44*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of i**5\/30 - 4*i**3\/3 + 10*i. Let j(f) be the second derivative of m(f). Let s(y) = 4*y. Determine s(j(n)).\nAnswer: 16*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 242 divided by -2\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 926\/10 - (6 + 256\/(-40)). Suppose -h = 5*s - 87, 0 = -3*s + 2*h + t - 33. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 2*l - 202 = -4*h + 17, -3*l + 526 = 19*h - 434 for h.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - 10*m - 7. Let o = -138 - -146. Determine w(o).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 828, 585, 352 in descending order.\nAnswer: 828, 585, 352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -593 divided by -2156\nAnswer: 593\/2156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 7*r**2 + 9*r - 4. Let c be a(-5). Solve -2*m + x = -0*x + c, 3*m - x + 4 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**4 + 639976*a**3*q + 34*a*q - 2*a - 163816*q - 3 wrt a.\nAnswer: 12*a**2 + 3839856*a*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14308089 and 59727.\nAnswer: 1389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4 = f, -4*h = -2*h + f - 11. Suppose h*m + 5*n - 433 = m, -m + 121 = -3*n. Is m a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 101915, 101936, 101959, 101984, 102011, 102040, 102071?\n\"Answer: s**2 + 18*s + 101896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -128 + 148. Suppose -f - 4*f = -w. Suppose y - 2 = -u - 0, 18 = 3*u - y. Solve p + 1 = 3*l - 5, 3*p = -u*l - f for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = -v + 317. Let o = -423 + v. Calculate the remainder when 481 is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (61\/(3660\/(-10)))\/((-2)\/(-2)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*n - 144 = -n. Suppose 18*c - 78264 = -n*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10.3 + -10.63. Which is the third biggest value? (a) -2\/9 (b) 5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/117 - 224\/585. Let c be (-1)\/(-8)*(1\/5 + 295\/25). Put 1, c, u, 3 in descending order.\nAnswer: 3, c, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v\/(v*v*((v*v*v**(-8)*v)\/v)\/v)*(v**(-11)*v)\/v*(v*v*v*v**(4\/3))**(3\/4) assuming v is positive.\nAnswer: v**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/3 or 6\/7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -2*k - k + 25, 0 = k - 3*b - 15. Suppose -91*u = -96*u + 100. Suppose 2*p = -k*p + u. Calculate the remainder when 49 is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 2*b**2 - 5*b - 4. Let i be c(-3). Is ((-12)\/(-3))\/i + 249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3144339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c65e + 0?\nAnswer: c65e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 3*j + 27 = 0, -5*j - 16 = -4*b - 61 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16250 = -617*l + 6378 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - 212435\/25 - -8. Let u = f - -8451. Which is smaller: -40 or u?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**2)**(-4))**(5\/7) assuming p is positive.\nAnswer: p**(-60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(304) + (sqrt(304) - (sqrt(304)*-2 + 1)))*2*-5)**2.\nAnswer: -80000*sqrt(19) + 12162500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 123515829 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3232 divided by 4?\nAnswer: 808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16 + 1074 + 5\/((0 - 2) + 3) is divided by 137?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -4*n. Let i be 4\/(-3)*3\/2. What is the units digit of z(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 26\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 2, 1\/7, 522\/11, 2\/11 in descending order.\nAnswer: 522\/11, 2, 0.5, 2\/11, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 divided by 1?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -50 + 110a5?\nAnswer: 11055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 2*d = 0. Let k(x) = -x**2 + 21. Let o be k(d). Suppose 5*m - o - 19 = 0. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a gram in milligrams?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4*o - 14 = 0, -4*o + 0*o = 16. Let c be 4 + 39\/(-9) + 25207\/21. Suppose -7*t - c = -15*t. What is the highest common factor of t and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001101000010111 + 101?\nAnswer: 1001101000011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4277 is divided by 1382.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2 + 1)*1)\/4. Let b be ((-54)\/15)\/(-2)*(-316)\/(-1422). Sort 0.2, -1, b, j in ascending order.\nAnswer: -1, j, 0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 436.5 + -440. Let b = x - -3.5. Sort -12, b, -10 in descending order.\nAnswer: b, -10, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3. Let u(y) = 11*y**3 + 3*y. What is -4*b(v) + 2*u(v)?\nAnswer: 26*v**3 + 6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 25 = 2*o + z, o = -4*z + 30. Let h = o + -1. What is the smallest common multiple of 6\/(-4)*(-8)\/3 and h?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 5*h = 280, -2*y - 6*h + 2*h = -134. Find the first derivative of -134*m**3 + 70*m**3 + y*m**3 + 9 wrt m.\nAnswer: 33*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2843589 = -16*r + 4210267. Let u = 649134 + r. What is u rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*h - 4*h. Suppose 2*v + 3 = -3. Let n be (6\/6)\/(v\/1). Which is the smallest value? (a) h (b) 5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14064462?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1872 = 55*k - 46*k. Is 13 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in -4, 4, -5, -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 + 22238*c - 177948. Determine t(8).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 32 = a, 85*g - 83*g + 16 = 4*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/8*1)\/((-6)\/8). Let g be -118*(r + -129663)*1. Suppose 5*s + 0*s + 25500001 = -x, 3*s + g = 2*x. Round s to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2581513*u = 2581372*u - 705 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 439262542*w**3 + 235841960*w wrt w.\nAnswer: 2635575252*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*k + 49 = 73 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002213713 to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 1. Let z(s) = -4*s**2 - 9. Let g be (1\/3)\/(12\/216). Give g*v(p) + z(p).\nAnswer: 2*p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -8. Let g = -7 - -12. Put g, b, -2\/5 in decreasing order.\nAnswer: g, b, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-12)\/(-2) - -1) + -1. What is the remainder when (-5 + z)*(-11)\/(11\/(-158)) is divided by 46?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 10*l**2 - l + 9. Calculate the common denominator of f(10) and -2*(-3)\/14 - 3.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zfzw when four letters picked without replacement from pfwzz.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11836927163 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-17))**(8\/9) assuming b is positive.\nAnswer: b**(-136\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/(-5) + 2096\/(-510). Let z be (3 - (-956)\/(-170)) + 3. Let j = z + n. Calculate the common denominator of 55\/4 and j.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 5*s - 253 = -3*w, 5*w + s - 565 = 0. Calculate the highest common divisor of 4161 and w.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 14 + 5. What is the highest common factor of x and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (13 - 1) + -37 + 81 + -43.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, n: 4, f: 3, s: 1}. Give prob of sequence fn.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 3*i**4 - 3*i**4 + 3*i**4 + 3*i**5 + 2*i**2 - 13*i**2 - 3*i**3 + 8*i**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -108*t - 8098. Determine z(-75).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 45*q**3 + 20*q**2 - 51*q + 814. Let v(z) = -16*z**3 - 7*z**2 + 18*z - 272. Give -6*b(j) - 17*v(j).\nAnswer: 2*j**3 - j**2 - 260","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g**2 - 161783072*g - 1635860149109824 = 0 for g.\nAnswer: -20222884","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16475 and 0.02.\nAnswer: -329.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 3\/4 (b) -41 (c) 2\/11 (d) -196 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/7 - 48\/(-28). Suppose -s - g = 4, -9 = n*s + g - 0*g. Let l(a) = 4*a**2 - 43*a - 7. Let r(c) = c**2 - 8*c - 2. Let x(w) = l(w) - 5*r(w). Give x(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8682 + 86719\/10. Let x be (94\/(-4))\/((-2)\/8). Calculate the common denominator of q and (x\/(-32))\/(3\/6).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -411\/26 and -17 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 9\/5 and 201.593 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*a = 26*a - 40. Calculate the greatest common divisor of a and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171965.\nAnswer: 5, 163, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 3 - (-18 + 22 + 0 - -4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gghg when four letters picked without replacement from {g: 3, h: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -224, -453, -682, -911?\n\"Answer: -229*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24394076 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(2 - 7) + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13821.3 to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2384, -2778, 822, 10420, 28020, 55626?\n\"Answer: 334*v**3 - 7*v**2 - 2711*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 46 (base 16) to base 10\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -411054686\/5 or -82210937?\nAnswer: -82210937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-111)\/9)\/(5528688\/(-3168)).\nAnswer: 2\/283","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 567?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mymmmtmdmmmmym. Give prob of sequence yyt.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 4*f**2 + 2. Let b be d(-4). Let u = b + 0. Suppose -x = 0, 3*s + u*s = -5*x + 125000. Round s to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -8. Suppose y - 8*o = -3*o - 24, -2*y - 2*o = -12. Sort y, d, 0.5 in descending order.\nAnswer: y, 0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.672 - 0.272. What is the second biggest value in -3\/5, 27, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 4:46 PM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, x: 1, z: 2, i: 2, t: 2, g: 4}. Give prob of sequence gi.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 2:07 AM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22948387*l - 22948433*l - 14 + 14.\nAnswer: -46*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18900 is divided by 1880.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 254 in 3.59, 5, 229?\nAnswer: 229","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 30*v**2 - 16*v - 196. What is w(31)?\nAnswer: 269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a meter in millimeters?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t = -13*t + 9. Suppose -4*s + t*n - 17 + 20 = 0, -s + n + 1 = 0. Solve -4*b + s*x = -3*x - 10, 3*x + 1 = -5*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o + 11 - 5 - 5. Let b = -2546 - -2558. Let z(r) = 35*r - 24. Let u(n) = -17*n + 12. Let t(h) = -5*u(h) - 2*z(h). Give b*d(s) + t(s).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -201313 (base 9) in base 15?\nAnswer: -2543c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 51*z**2 - 37*z + 451. Let r be s(10). What is the highest common divisor of 99 and r?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/1403 and 39\/427?\nAnswer: 9821","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -90*c - 61*c - 3 + 3. Let p(k) be the first derivative of 1 + c*k**4 - 29*k + 0*k**3 + 8\/5*k**5 + 0*k**2. What is the derivative of p(z) wrt z?\nAnswer: 32*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -4*i**2 - 7. Let j(p) = -6*p**2 + 3*p**2 + 0*p**2 - 5. Let s(b) = 5*g(b) - 7*j(b). Let r(x) = 3*x**2 + 2*x**2 - 7*x**2. Give r(s(k)).\nAnswer: -2*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001001001001110 (base 2) in base 5?\nAnswer: -4221342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 248 + 37. Suppose 0 = -4*s + 4*k + 68, b = 4*s + 5*k - 11. What is the greatest common factor of s and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 5*q**2 + 7*q + 7. Let x be z(-6). Let t be 4\/6*12\/(-20). What is the nearest to x in t, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 5*n**2 - 140*n = 0.\nAnswer: 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -552*c**2 + 7*c - 561. Let t(g) = -368*g**2 + 5*g - 376. Let u(v) = -5*f(v) + 7*t(v). Differentiate u(l) with respect to l.\nAnswer: 368*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 640311 bigger than 640309?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g + 11. Let b(x) = -x**2 - x + 2. Suppose -5*v + 15 = -0*v. Let o be b(v). Is c(o) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1004 and 28?\nAnswer: 7028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151 = 5*s - 199. List the prime factors of s.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*t - 69*t**2 - t + 67*t**2 - 39*t.\nAnswer: -2*t**2 - 72*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3354 + 3353.98. Which is the nearest to i? (a) -1 (b) 0.06 (c) 1\/5 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 304754 divided by 6.\nAnswer: 152377\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -5. Let u(j) = j**3 + 2*j**2 - 2*j - 2. Let n(h) = -h**2 + h + 2. Let c(r) = 3*n(r) + 2*u(r). Give c(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - k - 2 = -7, -3*q - 5*k = -11. Let b be q\/5 + 220\/(-50). Let z be (8503 + -3)*b\/(-10). What is z rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206360 a multiple of 193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9.838652l?\nAnswer: 9838.652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 11\/2. Let v = -718.8 + 719. What is the second biggest value in v, r, -1\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2*sqrt(80)*-4 + sqrt(80) + 3 + 0 + sqrt(80))**2 + 5 + 0.\nAnswer: 960*sqrt(5) + 32041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 1683019.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 10. Suppose f - 3*f + 2*i + 36 = 0, -2*f + 42 = -4*i. Calculate the remainder when -4*w\/(-2)*2 is divided by f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*w - 26 = r + 36*w - 329 - 203, -92 = 5*r - 2*w for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i + 0*i + 2*i)*(2 - 3 + 1 - 4*i).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6547 smaller than 6551?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a**2 + 24*a - 12. Let l be z(12). Let r be (1\/4)\/(3*1\/l). Suppose -r*h = -61*h - 8. What is the fourth biggest value in -3\/7, 5, h, 2\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**4 - 560*f**3 + 564*f**2.\nAnswer: -4*f**2*(f - 1)*(f + 141)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3195 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*v - 10 = -108*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1167751661 and 1217?\nAnswer: 1217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10935 and 590.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-5)\/(-50))\/((-2)\/(-36)). Let k be (-1 + (-14)\/(-15))\/((1435\/(-246))\/(-35)). Put -2\/9, k, p in ascending order.\nAnswer: k, -2\/9, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -5*c**4\/2 + 37*c**3\/2 - 42*c**2 + 34*c - 8 = 0.\nAnswer: 2\/5, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 38737597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 192 by 4.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55920?\nAnswer: 2, 3, 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 165376215*v**2*y - 67969*v*y + y + 81 wrt v?\nAnswer: 330752430*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 880*b = 883*b - 4*c, -3*b = -c - 27. Suppose q = -0*q. Suppose q*n - 36 = -n. Calculate the highest common divisor of n and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 2) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10799 and 107990.\nAnswer: 107990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 6192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/3))**(3\/8)*(p**1)**(-1\/13)*(p**(5\/2)\/((p**(5\/6)\/p)\/p*p))**23 assuming p is positive.\nAnswer: p**(19073\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 11725, 3 in ascending order.\nAnswer: 3, 13, 11725","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00022691022 rounded to 6 dps?\nAnswer: -0.000227","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of -77*n**6\/60 + 130*n**4\/3 - 95*n**2 + 7. Find the second derivative of a(z) wrt z.\nAnswer: -924*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00636828 rounded to five dps?\nAnswer: -0.00637","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1499 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19.0093 and -2449?\nAnswer: -46553.7757","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 278*f + 130*f + 18 = -146*f, -q - 3*f - 8 = 0 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 78, 79, 74, 57, 22, -37?\n\"Answer: -b**3 + 3*b**2 - b + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 8.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -5*m**3 + 38*m**2 + 29*m - 27. What is k(8)?\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j - 5*c - 30, -2*j + 5 = -c + 12 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/16 + 143\/(-220)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.17? (a) 9 (b) 0.05 (c) -2\/5 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**32\/k*k*k*k\/k**(-27))\/((k**(-13\/5)*k*k)\/k**(-14\/9)) assuming k is positive.\nAnswer: k**(2702\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1088 and 288?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * -0.105588.\nAnswer: 0.739116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 93*x**3 - 69408*x**2 + 12961377*x - 4173870.\nAnswer: 3*(x - 373)**2*(31*x - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -8*r**3 - 556*r**2 + 1110*r + 11. Determine d(2).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g - 3. Let f be n(-3). Let q = 80 + -32. Suppose f*y - 4*y = -q. What is the highest common divisor of y and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 7*g**2 + 9*g - 3. Let x be c(-3). Let o(v) = 2*v**2 - 7*v - 5. Does 25 divide o(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 265524 and 364?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18530978*o**3 - 421193*o**2.\nAnswer: 111185868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -14*h**2 + 2*h. Let t(o) be the second derivative of 0 - 1\/6*o**3 + 11*o + 0*o**2. Calculate k(t(g)).\nAnswer: -14*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -367642*n**3 - 2*n**2 + 14389257*n.\nAnswer: -2205852*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 1 + -7 + 1 + 16 + -13.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 28*j**2 + 29*j + 32. What is the remainder when 40 is divided by y(29)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + -10. Find the second derivative of 3*d**2 - 5*d + 0*d - 2*d**t - 8*d**2 wrt d.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 198900179 + 12940182 = 4*t, 2*t = -2*j - 92979998. What is t rounded to the nearest 1000000?\nAnswer: -46000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {v: 1, l: 12}?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 13, l: 6}. What is prob of picking 3 a?\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + k**2 + 1. Let y(q) = 5*q**3 + 11*q**2 + q - 23. Let w = 214 - 208. Let l(h) = w*z(h) + y(h). Factor l(r).\nAnswer: -(r - 17)*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1*(-3 + 1))\/(6\/39). Suppose -p*o + 21 = -6*o. Let u be ((-18)\/o)\/3*(-6)\/4. Solve -3 = -4*z + 4*f - 19, 2*z - u*f = -13 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -14*g**3 - 8*g**2 - 7*g + 10. Let n(y) = 3*y**3 + y**2 - 1. Let o(q) = i(q) + 5*n(q). Give o(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (91*c**2 - 91*c**2 - c**3 + 3*c - 2)*(c + 2*c - 4*c).\nAnswer: c**4 - 3*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4021*t + 1022*t - 9298*t - 27336*t.\nAnswer: -31591*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37\/5 of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + d - 31 = -28, -16 = s - 3*d for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3 - 5679*h**2 + 1082241*h - 50726385.\nAnswer: -(h - 93)**2*(h + 5865)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3*m**3 + 6*m**2 + 7*m + 496. Let w(b) = -2*b**3 + 2*b**2 + 3*b + 1. Determine l(x) - 2*w(x).\nAnswer: x**3 + 2*x**2 + x + 494","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3582977s to microseconds.\nAnswer: 358297.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 11:49 AM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 38376427393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 4*s - 54 - 43 + 23 - 17.\nAnswer: -4*s - 100","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -13373\/42442?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of -1\/60*t**5 - 1\/4*t**4 + 0 - t**3 + 22*t**2 - t. What is o(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 18, 50, 102, 174, 266?\n\"Answer: 10*a**2 + 2*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2435 + 2442. Let r(p) = -p**3 + 4*p**2 - 2*p + 4. Let k be r(4). What is the remainder when h is divided by (-108)\/(-20) - k\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -14 (b) -25534.6 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - 3*w**2 + 3*w - 3. Let g(j) = 3*j**3 + 10*j**2 - 8*j + 10. Let u(l) = 3*g(l) + 8*o(l). What is the lowest common multiple of 14 and u(-6)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 280 + -277. Suppose -5*f - x*a = -58 - 81, 17 = f - 3*a. Solve 4 = -2*m + 2*s - 0*s, -4*m - 5*s = f for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 265 - 256 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/7 - 150*u - 3132\/7.\nAnswer: -2*(u + 3)*(u + 522)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 + 5.3. Let g = -5 + h. Which is the smallest value? (a) g (b) -0.4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wr when two letters picked without replacement from mwrrmmmllwwwmmmm?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -278*a**3*w**2 - 2*a**2*w**2 + 158*a**2 wrt a?\nAnswer: -1668*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*f = 27*f + 345. Find the third derivative of 6 - 3 - 2*t**4 - 12*t**2 + 23*t**3 + f*t**2 + 3*t**3 wrt t.\nAnswer: -48*t + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*p + 7*h = -117*p + 239*p - 30, 4*h + 12 = 2*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/33490 and -21\/334900.\nAnswer: 334900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -78*t + 42*t + t**5 - 5*t**5 wrt t?\nAnswer: -80*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -307, -615, -921, -1225, -1527, -1827, -2125?\nAnswer: -2421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 359834521 * 0.1.\nAnswer: 35983452.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2.3 times -0.4\nAnswer: -0.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**4\/j*j**(-2))\/((j\/j**(-2))\/j*j*j**6)*(j**(-4)\/(j**(-2\/7)*j))\/(j\/j**(-2\/11)*j**(-1\/3)) assuming j is positive.\nAnswer: j**(-3133\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63 and 819.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 20*y + 534. Let o be j(-15). Let i(n) = 3*n - 39. Let q(b) = -1. Calculate o*q(c) - 6*i(c).\nAnswer: -18*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -296646 divided by 6\nAnswer: -49441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.4 + -7. Let o = l - 0.7. Which is the closest to 1\/4? (a) -2 (b) o (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 + -2.9. Let g = 0.3 - j. Let n = 0.5 - 0. Which is the third biggest value? (a) 0.4 (b) n (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -102, 4, 0 in descending order.\nAnswer: 4, 0, -0.2, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g**3 - 21*g**2 - 27*g - 6. Let d(j) = -j**3 - 7*j**2 - 9*j - 2. Let r(o) = 17*d(o) - 6*x(o). What is the remainder when 18 is divided by r(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out 362 - -23426722858.\nAnswer: 23426723220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155251 is divided by 39.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 + 16 - (-1)\/1 and 4\/(-18) - 654\/(-27).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 13*b**2 - 19*b + 7. Let z(r) = -7*r**2 + 9*r - 4. Let l be -17 - 37\/(592\/(-160)). Determine l*z(p) - 4*h(p).\nAnswer: -3*p**2 + 13*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.01*-3253.\nAnswer: 3285.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**0\/z*((z**(-6)*z*z)\/z)\/z*z)**(9\/5))**(-4\/25) assuming z is positive.\nAnswer: z**(216\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 3674*q + 3676*q + 168788 = 0, -5*q - 126584 = -3*z. What is the thousands digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 u when two letters picked without replacement from {e: 1, z: 1, o: 1, u: 2, b: 2}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/33984 and -19\/6912.\nAnswer: 407808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 7:13 AM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3*h = 2. Let c(v) be the third derivative of 0*v**3 + h*v**2 + 0*v**4 + 1\/180*v**6 - 1\/504*v**8 - 1\/315*v**7 + 1\/90*v**5 + 0*v + 0. Factor c(d).\nAnswer: -2*d**2*(d - 1)*(d + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49 + -81. Let l be (3\/(-6))\/((-2)\/d) + -1. Is 1348\/16*(-3)\/(l\/12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -47*p - 5. Let a be q(5). Let n be ((-2)\/4)\/(4\/a). What is the highest common divisor of 75 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + w**2 - 4*w + 5. Let x be t(0). Let f = -74 - -74. Solve m - 3*o - 1 = f, 22 - 9 = 2*m + x*o for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -4*n**3 + 9*n**2 - 3*n - 7. Let y(z) = -45*z - 6*z**3 + 40*z - 13 + 17*z**2 - z**3. Let k be -1 - 5*4\/10. Let s(u) = k*y(u) + 5*c(u). What is s(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 40?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/7*(11484\/288 - 39)*44\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.3 - -0.7. Let v = 7.0009 - r. What is v rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13\/12 or 0.732?\nAnswer: 0.732","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 248500933 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 193 (b) -0.6 (c) -2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/9*-1)\/((-14)\/28).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o**3 - 906883*o**2 + 308253520*o - 26199092700 = 0. Calculate o.\nAnswer: 170, 906543","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001664219681 to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -402.18563 + 292.185563. Let r = v + 110. Round r to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -19444 + 14?\nAnswer: -19430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-2)*(-2 + 0). Let m = c - 6. Let q be (m - -4)*(2 + -1). Solve -5*b + 4*z = -1, -2*z + 0 - q = -3*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 4:58 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*p**2 - 2*p**3 - 4 + 36*p**2 - 3*p - 74*p**2 to x + v*p + z*p**3 + m*p**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 8\/2512349?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -112 - -80. Let h = 38 + j. Which is the biggest value? (a) -2\/5 (b) h (c) -4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, a: 1, n: 1, l: 1, o: 1}. What is prob of picking 2 n and 2 l?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3224001?\nAnswer: 3, 11, 151, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-z**2 + 0*z**2 - z**2 + (-3*z + z + 0*z)*(-2*z + 3*z + z))*(1 + 6*z**2 + 1 - 3*z**2) as x*z**2 + d*z**4 + a*z**3 + s + f*z and give d.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1506.9 - -1507. Sort z, -1\/6, -3, 2\/3, 23.4 in descending order.\nAnswer: 23.4, 2\/3, z, -1\/6, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 2\/(-3) - 714\/378.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5813569?\nAnswer: 83, 89, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + 44. Let v = -115 - -115. Determine f(v).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -v - 156 + 156 + 7*v**3 in the form s*v + q*v**3 + t*v**2 + p and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7096*1.\nAnswer: -0.7096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**5\/2 - 23*i**4\/2 - 133*i**3\/2 - 193*i**2\/2 - 42*i = 0.\nAnswer: -3, -1, 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 8894207 to the nearest 1000.\nAnswer: 8894000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 14240666?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 12*u**2 - 363*u - 9344. Calculate m(-16).\nAnswer: -464","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 257 divide 24155944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -d**3\/3 + 3*d**2\/2 - d. Suppose 0 = 5*l - 2*p + 4195, 4*p + 460 + 1218 = -2*l. Let u = l + 843. Give r(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 10*i**2 - 19*i + 83. Determine t(9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-11)\/44 + (90012\/16)\/3. What are the prime factors of (76\/95)\/(2\/v)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p - 3. Give y(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z + 16 = 8*z. Suppose -2*y = -y + 3. Let g be (1\/1)\/((-3)\/45). Put y, z, g in decreasing order.\nAnswer: y, z, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of -24*k - 5\/4*k**4 + 0*k**2 + 0*k**5 + 0*k**6 + 0 + 0*k**3 + 3\/7*k**7. Find the third derivative of n(p) wrt p.\nAnswer: 1080*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y + 4*w + 29, -18*y - 22 = -17*y + 3*w for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 6.1, 96, 1\/6?\nAnswer: 6.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -393, 0.5, -0.1 in increasing order.\nAnswer: -393, -4, -2, -0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23310412 (base 7) to base 11.\nAnswer: 1182549","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.5185 - -0.5185. Suppose -2*a + 7*a = 3*t + 20, 0 = -3*a + 2*t + 12. Put 3\/4, 2, a, v in descending order.\nAnswer: a, 2, 3\/4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-135 - -129)*10\/(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3a + 2?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 2) to base 4\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/((p\/(p**(-11\/4)*p))\/p*p)*p))\/(p\/p**(-10))*p**(-10)*p*p**(-3\/2) assuming p is positive.\nAnswer: p**(-79\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 318186477 to the nearest integer?\nAnswer: 683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.101 - -44.299. Let x = p - 44. Which is the closest to -1\/2? (a) x (b) 2\/7 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -450 = 5*d + 2*i, 2*d - 2 = -4*i - 166. What is the biggest value in 2, d, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 14, p: 2, h: 1}. What is prob of sequence xhpp?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 47180 and 8848.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of 0 + c + 1\/60*c**5 - 34*c**2 - 1\/6*c**3 - 1\/24*c**4. Determine f(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 + (-34 - -84) + -22?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 2*u = -1503, -3*i = 4*u + 10 + 889. Let s = -101 - i. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4308.998 + -4309. Which is the third smallest value? (a) -0.4 (b) u (c) 3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 283344 and 1176?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 3*v + 434017 + 198987, -v - 210992 = 4*g. What is v rounded to the nearest 10000?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**10*o*o*o**(-22)*o**(-5\/4)*o**(-7\/2))**(-13) assuming o is positive.\nAnswer: o**(767\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (805 + -806)*(-58 - 0). Solve 20*w + 138 = r for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -688*h**5 - 3003*h**4 - 4*h**3 + 28291*h**2 - 2536 wrt h?\nAnswer: -41280*h**2 - 72072*h - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - 4. Let x = 6 - v. Calculate the remainder when 21 is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b3af (base 16) to base 3\nAnswer: -2100002200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54656254, 54656217, 54656148, 54656041, 54655890?\nAnswer: 54655689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -4*g**3 - 17*g**2 + 10*g + 11. Let p = 127 - 131. Let m(q) = -3*q**3 - 16*q**2 + 10*q + 12. Let l(j) = p*b(j) + 5*m(j). What is l(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.007 - -52.007. Let r = 80 - q. Let b = r + -41. What is the second smallest value in -1, -2, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2115.5 + -425\nAnswer: -2540.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 77.2 and -9.\nAnswer: -694.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.035 less than or equal to -210005\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aatoatooqtoaoat. Give prob of sequence qt.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -41*v**3 + 5*v**2 - 34. Let q(n) = -25 - 84*n**3 + 43*n**3 - 10 + 6*n**2. Let l(g) = -6*m(g) + 5*q(g). Find the first derivative of l(b) wrt b.\nAnswer: 123*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 3 = -0. What is the tens digit of o\/(2 + (-75)\/36)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + 2*i**2 - i - 5. Give u(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + 16*a + 4. Determine t(-15).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 39 = -591. Let b = -3130\/17 - s. Let h = 13 + -9. What is the smallest value in 0.5, b, h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + 8*r**2 + 8*r + 7. Let x(g) = g**3 + 8*g**2 - 6*g + 2. Let t be x(-8). Suppose 3*c - t = -2*c. Let n be ((-3 + c)*-1)\/1. Calculate q(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (5 - 7) - -2 - 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*p - 9*p - 5*u - 14, 3*p = -5*u + 2. Suppose -4*s = -3*b + 2065, -p*b + 32*s - 35*s + 2795 = 0. What is the hundreds digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1874*s**2 - 933*s**2 - 506*s**2 - 1 to the form k*s**2 + v + d*s and give k.\nAnswer: 435","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -13, -2 in descending order.\nAnswer: -2, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1020*f**3*g - 403480*f**3 - 55*f*g + 2*g with respect to g.\nAnswer: -1020*f**3 - 55*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = 4*t - 5*z, 0 = 4*t + 402*z - 399*z - 34 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = 2617 - 2632 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 3*l = -q - 1, 0 = q + l + 1. Let y be q\/3 - (-20)\/6. Suppose -2*p + 3 = -7*j + 2*j, -3*j = y. Which is greater: p or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((0 + 0)\/(4\/(-1)))\/(-2). Suppose s = 10*h + 9507 - 57017. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, k: 2, s: 3, m: 1, c: 3}. Give prob of picking 1 s and 1 k.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 9*r**2 - 53*r + 36. Let h be y(5). Let x(v) = 9*v**3 + 2*v. Let l(d) = 539*d**3 + 121*d. Calculate h*l(i) + 242*x(i).\nAnswer: 22*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 4 + 4*a**3 + (3*a + 0*a - a)*(-a + a + 2*a)*(4 + 3 - 5 - 2*a) in the form g + x*a + k*a**3 + c*a**2 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 5*v + 105 = 0, -90 = -5*p - 4*v + 2*v. Suppose 0 = -4*r - p, -2*s - 2*r + 4*r = -14. Solve s*w + 2 = 14 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 11, k: 5}. What is prob of picking 2 k?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of -z**4\/12 + 7*z**3\/6 + z**2 - 29*z + 1. Let q = 32 + -27. Determine i(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 8*j - 9. Let u be z(19). Let s = 281\/2 - u. Find the common denominator of s and 15\/(-4)*(-10)\/(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 66 + -57.1. Let q = 9 - l. What is the third biggest value in -3, q, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 5*d**2 + 5*d + 7. Let u be k(6). Let s = u + 1. What are the prime factors of (-932)\/(-44) - s\/11?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182 - 243 = -25*t. Suppose -19*m = -t*m. Suppose -2\/3*a**2 + 0*a + m + 2\/3*a**3 = 0. What is a?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 560 and 290?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-2\/7))**(-1\/2)\/(y*y**(-11\/5)\/y*y**(-1\/2)))**(-41) assuming y is positive.\nAnswer: y**(-3362\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(18) + 3)**2.\nAnswer: -81 - 54*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rc when two letters picked without replacement from {j: 4, t: 1, c: 4, f: 1, q: 1, r: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -28d5a4 (base 15) to base 7\nAnswer: -22510150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 + 25*w - 200. Determine b(7).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1110878765?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -903*c + 0*c**2 + 780*c - 5*c**2.\nAnswer: -5*c**2 - 123*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01231552 to three dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -85382151*n*q + 616118*n + 149 wrt q?\nAnswer: -85382151*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-5) - (-246)\/15. Suppose -10*t = -15*t, 0 = -3*o + 3*t + 12. What is the greatest common factor of z and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -418 = -17*p + 4*p - 9*p. Solve -3*f = 16*w - 21*w - 26, -2*f + p = -5*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -4\/3 (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 296, 330, 370, 410, 444, 466, 470?\n\"Answer: -d**3 + 9*d**2 + 14*d + 274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 936151766?\nAnswer: 2, 11, 743, 57271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -2*h**2\/11 + 31410*h\/11 + 25785668\/11 = 0?\nAnswer: -782, 16487","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3725 - -236?\nAnswer: 3961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -b**6\/15 + 4*b**5\/5 - 4*b**4\/3 + b**3\/3 + 4*b. Let z(h) = -h**3 + h**2. Let i(a) = 2*d(a) + 20*z(a). Factor i(l).\nAnswer: -4*l*(l - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63990 is divided by 12797?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tg when two letters picked without replacement from tgttgggggggg?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -507577153780 and 3.\nAnswer: -507577153777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 39504 and 86?\nAnswer: 1698672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(9 + 12 + -22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6743 to the power of 1\/2, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/9)*x*x**(-19\/2))**(4\/41) assuming x is positive.\nAnswer: x**(-314\/369)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = c - 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108729236 and 17168.\nAnswer: 4292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5260?\nAnswer: 2, 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/160*(-48)\/8*70\/56?\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a kilogram in grams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + 7*h**2 + h - 2. Let p be d(-7). Let k(v) = 4*v - 5. Give k(p).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -1, 4\/247, -2\/13, 306.\nAnswer: -1, -2\/13, 4\/247, 0.4, 306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(153) + 1)*-6 - ((sqrt(17) + -3)*-2 - (-1 + 2 + sqrt(17))))**2.\nAnswer: 6090*sqrt(17) + 129898","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 30.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from -22.48703.\nAnswer: -22.98703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 497244?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.81 - -1.7. Suppose 5*r = -f - 27, -31*r + 1 = -33*r + f. What is the second smallest value in r, 2\/3, 3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**3 + 2*j - 2*j + 9*j**3.\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = h + p + p, 5*p - 75 = 3*h. Let a = h + 11. Is -9 at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/46375 + -719473\/92750. Let f = c - -143\/28. Find the common denominator of -109\/18 and f.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nu when two letters picked without replacement from {n: 2, q: 14, u: 1}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 22 = 26, -5*j - i = 11 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2*k + 190 - 52, 2*k - 120 = -2*o. What is the remainder when 1910 is divided by k?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 + 1)*(658 - 1420 - 34106*a + 762) to p + h*a and give h.\nAnswer: -68212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c - 1. Let q be l(3). Suppose -20 = 4*k, 2*n = 3*k - q*k - 5. Let p be (1 + 1)*n\/10. Which is smaller: 4\/13 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -84 + 86. Suppose l*f = 4*r + 4, -2*r + 14 = -6*f + f. What is the third smallest value in 5, f, -1, 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 4*u = -20, -4*q + 2*u - 25 = 7*u. Suppose 4*o - 7173 - 8111 = q. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4994 and 18.\nAnswer: 44946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31942976, -31942982, -31942988, -31942994, -31943000?\nAnswer: -31943006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 334 - 333.996437. Round h to 4 decimal places.\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of 1\/2*c**6 + 0*c + 15*c**3 + 0*c**4 - 28 + 0*c**2 + 0*c**5. Find the third derivative of m(o) wrt o.\nAnswer: 180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 355*p - 10 = 357*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(3\/(2\/(1\/(3\/(-2)))))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -4*y - 12, 4*x - 5*y - 12 = -3*y. Calculate the highest common factor of 58 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (8 + -4)) + 0 + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -97, -325, -687, -1183, -1813, -2577?\n\"Answer: -67*i**2 - 27*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2583*t**2 - 12*t + 7733*t**2 - 2582*t**2 - 2576*t**2 to p*t**2 + c + m*t and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29184 + 29472. What is the remainder when 944 is divided by a?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*h**4*z**3 - 19*h**4*z**2 + 10*h*z**3 + 2*z wrt h?\nAnswer: 36*h**2*z**3 - 228*h**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((172\/(-3784))\/((-3)\/(-36)))\/(6*(-2)\/(-16))\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/((-70)\/24))\/(26\/(-910)*5)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15\/(-5)*(1 - (-27)\/(-24)). Let q = -0.13 - -0.12. Let v = q + -4.99. What is the second smallest value in w, v, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000535237154 rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27417 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.2 (b) 3\/88 (c) -6 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 68\/11? (a) -9 (b) 0.4 (c) -3\/8 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2088719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 3\/4, 0.4, -39, -28\/5 in descending order.\nAnswer: 20, 3\/4, 0.4, -28\/5, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*k**5 - 7*k**3 + 2104820*k**2 - 344879797*k wrt k.\nAnswer: -80*k**3 - 42*k + 4209640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 346?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10200100120 - -21?\nAnswer: 10200100211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 3807 - 477491. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 5079*x**2 + 13*x - 33*x + 7*x + 13*x. Let z(h) = 2*h. Calculate z(s(p)).\nAnswer: 10158*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -32251, -32253, -32257, -32263?\n\"Answer: -f**2 + f - 32251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 2*f + 208, -2*f - 3*m = -2*m + 212. Let o = f - -360. Does 29 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4443785*q - 3315154*q + 207063*q - 1951123*q.\nAnswer: -9502999*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 746*z**3\/11 + 9704*z**2\/11 + 78*z\/11.\nAnswer: 2*z*(z + 13)*(373*z + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a7 + -7?\nAnswer: -b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (252\/3)\/(-252)*87?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 3767.\nAnswer: -3, 1, 3767","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 0) + (-48)\/(-4). Suppose 0 = -7*t + 2*t + 140. Let j = t - h. Does 8 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/60 and ((-21603)\/(-7580))\/(5\/((-5)\/72))?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -2. Suppose z + 5*a - 30 = n, -5*z + 2*z + 2*a + 5 = 0. Suppose -i + z*i + 47 = 3*k, -4*i = -k + 29. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.5 + -1.5. Which is the second biggest value? (a) w (b) -2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*n - 7. Let f(q) be the second derivative of 0 - q**2 - 2\/3*q**n + 3*q. What is f(2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 4*d - 6. Let g(o) be the second derivative of o**3\/6 - o**2\/2 + 7*o. Determine -10*g(q) + 2*h(q).\nAnswer: -2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/30*7*-2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of -i**7\/840 - i**6\/48 + 37*i**5\/240 - 13*i**4\/48 + 730*i**2. Determine g, given that m(g) = 0.\nAnswer: -13, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-8))\/((-5)\/(-20)). Solve z + 6 = -o*z - 2*y, z = 4*y + 12 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 16 = 4*d, l + 0*d - 3*d + 11 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 673017.\nAnswer: 3, 263, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3*y + 24. Let h(j) = 3*j + 25. Let i(d) = -5*a(d) + 6*h(d). What is the tens digit of i(14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453609 to the power of 1\/3, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 15) to base 8.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (480\/(-864))\/((-24700)\/1368)?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 2:13 AM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -807336813*m**5 - 82293637*m.\nAnswer: -16146736260*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, q: 1, b: 2}. Give prob of picking 3 h and 1 q.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**5 + 7522041*k**4 - 4715118060873*k**3 + 33005540589135*k**2 - 51865757083800*k + 23575327033500 = 0.\nAnswer: 1, 5, 1253670","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -112 + -133233214?\nAnswer: -133233331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does -8070081 = -8070080?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 5*x - 2, 3*t = -t - x + 11. Suppose -t*v = 2*z + 2*v - 225, -4*z = -v - 505. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2365663.86 seconds to weeks.\nAnswer: 3.91148125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -22.3 (b) 235\/2 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 693785.31193541 less than -1?\nAnswer: -693786.31193541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 7:56 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - c + 1. Let l(w) = 5*w**2 - 12*w + 8. Let x(k) = -6*a(k) + l(k). Let i be x(-6). Suppose 0 = 4*t - i*t - 28. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 11*n - 240 = 0. Let f = 106 - n. Suppose -13*i - f = -15*i. List the prime factors of i.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 86*k + 81*k - 12229 = 0, 4*k + 12230 = 2*n. Does 49 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 28\/2 + (-6)\/3. Suppose 4*k = 4*c + h, -3*k + 5*c = 1 - 0. What is the lowest common multiple of k and 11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 7*s**2 + 3*s - 22. Give a(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**2 - 5*g**2 + g**2)*((1 - 3 + 3)*(0 - 4 + 8) + (4 - 2 - 1)*(-4 + 1 + 5) - 1 + 0 + 2 + (0 - 1 - 1)*(-2 + 2 - 1)).\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 4 (c) -30 (d) -11 (e) -2 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, -0.032, 5, 0.7, -0.056?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1073 + -1070. Let r be (-18)\/8 + (-9)\/(-12). Which is the nearest to 0? (a) -6 (b) r (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhh when four letters picked without replacement from chhhchchccchccqchhc?\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 3 - 7)*(3*f - 3*f - 4*f) + (-2*f + 0*f + 5*f)*(-8 + 0 + 0) - 42*f + 34*f + 35*f + 67*f + 61*f to the form n + s*f and give s.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -3*o + 60, 3*g - 4*o - 38 = 53 - 184 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -792*w**2 - 22*w - 5. Let b(l) = -132*l**2 - 4*l - 1. Let p(j) = -17*b(j) + 3*u(j). Give p(-1).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 51745.57 years?\nAnswer: 517.4557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 496 is divided by 39\/(-351) + 2030\/45.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 204 - 122. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.472 - 0.128. Let c = 0.33 - 0.03. Let z = -0.4 + c. Is z <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b9d (base 15) to base 6\nAnswer: 20051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + 7*z + 11. What is u(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 3*g + 33, 5*k + 5*g - 40 = 4*g. Let f = 7 - 5. Let u(r) = -r + 30 + k*r - 39 - r**f. What is u(7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 578 (base 11) to base 16\nAnswer: 2b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - 7*r + 11. Let g be w(-8). Let d be (-9)\/(-2 + 1 + 0). Solve g*x + 0*x = d for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/(-15) + (-23)\/55. Let t = -11822\/5 - -2372. Let m = 8 - t. What is the second smallest value in -6\/7, m, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + 11*n + 3. Let h be l(-11). Suppose f = h - 6. Let p(t) = -11*t + 3. Does 18 divide p(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o**3 + 492*o**2 - 684*o - 672 = 0. What is o?\nAnswer: -56, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 799\/2 + -398. Let j(s) be the first derivative of 0*s**3 - 9 + 0*s**4 - v*s**2 + 0*s - 1\/2*s**6 + 0*s**5. What is the second derivative of j(c) wrt c?\nAnswer: -60*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-590)\/(-275)*3146\/1144 and -73*(29\/(-30) + 1).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81090 is divided by 1025.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2420763922 - -0.01\nAnswer: -2420763921.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -7, 2 in decreasing order.\nAnswer: 2, 1, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 13 = -5*c, -3*w = -3*c - 2*w + 19. Suppose 0 = c*f + 15, -l + 0*f + 7 = -3*f. Sort -6, -5, l in descending order.\nAnswer: l, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6975839 plus 0.0191?\nAnswer: 6975839.0191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2873446729?\nAnswer: 577, 4979977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 h when three letters picked without replacement from dfssidsridhisdh.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -96 + 98. Which is the third biggest value? (a) -0.4 (b) -3 (c) g (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = k + 22, -145*k + 76*k + 25*s - 221 = -70*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = w - 119. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-2 + (-8 - 1) - 5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -48544275 divided by -195?\nAnswer: 248945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 2*k - 39, 2*o + k = -2*o + 183. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 93280 and 206700.\nAnswer: 18189600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -a**4\/54 + 1292*a**3\/27 - 417316*a**2\/9 + 2487*a. Factor b(w).\nAnswer: -2*(w - 646)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13872302 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 21598 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2673 and 5?\nAnswer: -13365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 y when two letters picked without replacement from {y: 3, i: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -5 + 11. Let d(k) be the second derivative of -2*k - 1\/9*k**4 + 0*k**i + 0 + 1\/3*k**2 + 0*k**5 + 1\/45*k**6. Find l, given that d(l) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 3:39 AM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(108) - sqrt(108))*6 + sqrt(108))\/(sqrt(576) + 5*2*sqrt(4)).\nAnswer: -3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 42*f - 526 + 56 + 218 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147205709 is divided by 90.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/51240283 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*a - 35*a - 33*a.\nAnswer: -46*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 869 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, j: 4, r: 4}. Give prob of sequence jj.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 77*l + 4. Let s(y) = y**2. Determine s(f(z)).\nAnswer: 5929*z**2 + 616*z + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 3:52 PM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 11.97. Let p = 0.07 - y. Are p and 3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24172733 to the power of 1\/3, to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 1060?\nAnswer: 1\/212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -12. Let d = -4 - -1. What is the second smallest value in n, d, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31865295 to the power of 1\/2, to the nearest integer?\nAnswer: 5645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 451884510 and 3651592.\nAnswer: 1807538040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.3 - -0.7. Let n = -6.7 + j. Which is the nearest to -0.1? (a) n (b) -3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 953 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a second in milliseconds?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = d + 2*d + 19, 2*d = -3*v - 24. Let a be 6 + d + 23 + 1. Round a to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 2*w + 2896, -39*n + 41*n = 3*w - 5798. Which is smaller: -2907 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27569409 * 1.\nAnswer: -27569409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -421100004 - -13?\nAnswer: -421044441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 119*w - 122*w + 2*n + 24, -2*w - 23 = 3*n for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwewwwwwwwwwewwwww. What is prob of picking 3 w and 1 e?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-18))\/((-3)\/18).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -140, -144, -148, -152, -156?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (4 - -14) + (3 - 4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-5))\/(2\/20). Suppose -5*d - 2*r + 16 + 6 = 0, 32 = g*d - 2*r. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5942 or 0.2?\nAnswer: -5942","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 20 = -8. Let s = -155 + 205. Calculate the remainder when s is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**2 + 13052*t - 3294338 = 0.\nAnswer: 263, 6263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 92400 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/2 (b) -0.1 (c) -0.06 (d) 40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**2\/5 - 35901872*u\/5 - 35901868\/5 = 0. What is u?\nAnswer: -8975467, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 1 = -3. Let n(q) = 2*q**2 + 3*q + 1. Let z be n(r). Suppose -2*y - z*b + 8 = -0*b, -4*b + 11 = 3*y. Which is smaller: 0 or y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 1 = 10. Suppose m*j + 612 - 1710 = 0. Does 13 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 0*z + 70 = 0. Let y = z - -74. Calculate the highest common factor of y and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h + 13*h - 2820 = -5*f, 3*f - 4*h = 1700. Calculate the highest common factor of f and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00010896898121 to 6 dps.\nAnswer: -0.000109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2030)\/(-40) - 6\/8?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -154.8 - -173. Let d = q + -18.19848. What is d rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-396)\/(-297))\/((-8)\/(-423)*(-3)\/(-2)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of l**9\/504 - l**5\/30 + 7*l**3\/3 - 1. Let y(w) be the third derivative of d(w). Find the second derivative of y(i) wrt i.\nAnswer: 120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 4*q**2 + 9*q - 4. Let u(o) = 4*o**3 - 11*o**2 + 27*o - 11. Let b(m) = 4*u(m) - 11*w(m). What is the second derivative of b(g) wrt g?\nAnswer: 30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -148 times 1\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43, -91, -139, -187, -235, -283?\nAnswer: -331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - 4)*-1*7. Let o be -3 - -5 - (0 - -1). What is the units digit of o\/(0 + 3\/i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46923 + -5270. Suppose -5*l - 4*k = -v, 4*l + 38*k = 39*k + 33314. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 1108*v + 282643. What is g(-398)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5096*w + 2790*w + 1706*w - 527640 = 798*w for w.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a (base 16) in base 11?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2665733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-84 - -2) + (8 - (-4 - -15) - (55 - 51)).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1612?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hshsssssshs. What is prob of sequence hhss?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**2 + 6*y - 5. List the prime factors of r(-7).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) 0.5 (c) 0.38 (d) -1\/5 (e) 2\/145 (f) -3\/7 (g) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3*2\/(-5)*(-3 + 8)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/2523010 and 63\/20?\nAnswer: 5046020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 (base 9) in base 13?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13326.8911313 + 13326.9. Round i to four decimal places.\nAnswer: 0.0089","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1020063.\nAnswer: 3, 11, 30911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l - 13*l - y = -3, y = -5*l - 5 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h**2 - 9*h - 22. What is the tens digit of m(14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.07, -0.1, 8\/11, 4, 51\/8?\nAnswer: 51\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1482 = 5*f - 11168. Let l be 12*-1*f\/33. Round l to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1631 - 2905 = -363*t + 1993 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*m**2*n**2 - 6*m**2*n - 3*m*n**2 + 118*m*n wrt m.\nAnswer: 24*n**2 - 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 1 + (-6 - -5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 2*w - 2 - 4*w - w + 4*w + (-2 + 1 + 3)*(5*w + 4*w + 2*w) - 31 + 31 + 9*w.\nAnswer: 32*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -403336 divided by 403336.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/8 in 1, -1, 133, -4\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2 + 11\/(-5) + 5083\/65.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1207*u**2 + 0 + 2 + 1209*u**2 - 2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 599, 1091, 1585, 2081?\nAnswer: 2579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2123020 (base 4) to base 13\nAnswer: -4699","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/8*(3 - 5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-18)\/(-180))\/((-2)\/4). Let p be (4\/(-18) + 10\/(-36))*3. Which is the biggest value? (a) -4 (b) t (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -64*x**2 - 3*x + 4. Let a be l(-4). Let d be (0 - -4)*a\/64. Is d bigger than -63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/4*2*600\/(-350)*21.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 0 + 13*n**2 + 16*n**2 - 38*n**2 - 1496*n + 13*n**2.\nAnswer: 4*n**2 - 1496*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 3)*(0 + 0 + m)*(-5 + 5 + 4*m).\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 4:07 PM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 340 - 19dc6?\nAnswer: -19a86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 426*m - 426*m - 455*m**3.\nAnswer: -455*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20.5 - 20.8. Let s = -0.2 - -0.2. Let g = 32 + -31. What is the nearest to s in 5, t, g?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 1. Suppose s*t + 102 = 2*t. Calculate the remainder when t is divided by (-14784)\/(-572) - (-4)\/26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1*sqrt(150)\/(sqrt(20) - sqrt(5))*5)\/((sqrt(216) - ((sqrt(216) - -2*sqrt(216)) + sqrt(216)))*6 + (sqrt(216) - 1*sqrt(216))*-4).\nAnswer: 25*sqrt(5)\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 3. Let t = x + 5. What is the units digit of (-3)\/(-2)*(t + 3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 409, 9, 3 in increasing order.\nAnswer: -2, 3, 9, 409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 81683368?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*x - 99*x = -30. Let b = x - -9. Suppose 3*g + 69588 = -4*k, -4*k + b*g - 73716 = -4104. What is k rounded to the nearest one thousand?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*p**2 - 132*p - 108 = 0. What is p?\nAnswer: -2, -18\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 5*t**2 + 8*t - 7. Let y be x(6). Let o = -367932 - -367932. Solve o = -y*z - 7 - 13 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 235511352 and 276.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1345.006 - -1347. Let k = s - -0.006. Let d = 38.7 + -39. What is the closest to 7 in d, 0.5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 13 - 16 + 3 + 2*f. Let o(a) = 3*a. Give o(t(q)).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5*((sqrt(2) - (sqrt(96)\/sqrt(8))\/sqrt(6))**2 - sqrt(2)) + -5 + -4*sqrt(162)).\nAnswer: -124*sqrt(2) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 7. Let z = -0.3 - -0.8. Let l be (-5 - -3 - 1)\/(-1). Which is the nearest to p? (a) -2\/5 (b) z (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 + 10*d + 6. Determine j(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 6.5\nAnswer: 19.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-7)\/(-14))\/(1\/20). Suppose -2*x + 0*y = -y - 6, -5*x + v = -5*y. Calculate the remainder when 11 is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/90 and 123\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pj when two letters picked without replacement from evvttevvvtjejtvp.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32178\/18 + 2\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 742*x**2. Let c(t) = t + 16460. What is c(q(u))?\nAnswer: 742*u**2 + 16460","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, i: 1, g: 5, k: 9, o: 1, w: 1}. What is prob of sequence ng?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - 11*s - 21. Let m be v(13). Let b be 10\/2 + m + 114. Calculate the highest common factor of b and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 - 560 = -91*o + 297 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 12:59 PM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/103147 and -8\/1177.\nAnswer: 11036729","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -584*c = 268*c - 27711 + 1299 for c.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -3*w + 7, 7 - 3 = 2*s for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 89 and 7209.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*p + 8. Let b(q) = -q + 0*q - 3 - 3040*q**2 + 6*q + q + 3039*q**2. Give b(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/7 - 19\/7. Suppose 498*q + 111*q = -1218. Put 34, q, o in ascending order.\nAnswer: o, q, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21441 - -1543697\/72. Let s = l - -8\/9. Which is the closest to -1? (a) -4 (b) -2\/3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -31691, -62889, -94087, -125285, -156483?\n\"Answer: -31198*f - 493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -6*y**2 + y + 60. Determine b(-5).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1040 and 14221760?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 i when three letters picked without replacement from iidaa.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81.68295 nanometers to millimeters.\nAnswer: 0.00008168295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (34410\/555)\/((1*-4)\/(-2))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16210055*l + 15620764 wrt l.\nAnswer: 16210055","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of 0*z - 61\/12*z**4 - 5\/6*z**3 + 0 + 18*z**2. Is m(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.39061 take away -208?\nAnswer: 219.39061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/6)\/((-2)\/(-18)). Suppose -2*j - 8 + 2 = 0, -5*j = q + 15. Suppose 40 = 5*c + 5*n, c + h*n - 15 + 3 = q. Does 6 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-66)\/4*544\/(-816)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, -7, 4, -91, 1.\nAnswer: -91, -28, -7, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -17. Let p be 5\/(-20)*24\/y. Suppose -z + p*z - 557 = 0. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 18273*c + 18209*c - 2.\nAnswer: -64*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4ad1 (base 14) in base 8?\nAnswer: 31477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2254794898?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + h**2 + h + 2. Let o be s(0). Is 202 - o*(-12)\/(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != 13\/7817535?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 144 - (-87)\/(-3) - (-1)\/2*-2. Solve 20*x - 134 + l = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1749172411 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7669 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 62\/310*1*-12*(-3)\/(-4)?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*r**2 + 20*r - 20*r - 28*r**2 + 24447 - 24447 + (-r**2 + 0*r**2 - r**2)*(0 + 3 - 1) + 0*r**2 - r**2 - r**2.\nAnswer: -47*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of x**4\/4 + 11*x**3\/3 + 4*x**2 - 16*x - 9. Let l be v(-10). Let j = 8 - l. What is the smallest common multiple of 12 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 PM and 5:39 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -17754\nAnswer: 1\/8877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/3)\/((-424)\/(-30) + -14). Which is the third smallest value? (a) 6 (b) m (c) -3 (d) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 294111037.6 to the nearest 1000000.\nAnswer: 294000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + 10*d - 3. Let c be i(9). Solve c*q - 5 = q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 8511996?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(170) - (-2*sqrt(170)*2 - sqrt(170)))\/(sqrt(1000) + sqrt(1000)*1) + 5 + -2 + 6*(sqrt(17) + sqrt(51)\/sqrt(3)))**2 + 5.\nAnswer: 1476*sqrt(17)\/5 + 258218\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1980242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -19*p**5 - 5*p**3 + 5*p**2 - 7*p. Let u(v) = -10*v**5 - 2*v**3 + 2*v**2 - 3*v. Let y(f) = 2*j(f) - 5*u(f). Find the second derivative of y(d) wrt d.\nAnswer: 240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = b - 4044. Suppose 412 = 3*u + 3*h - b, 2*u + 4*h = 718. Suppose -5*r + u = v + 4*v, 3*v - 4*r = 226. Is 9 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, -4, 7, -3, -5.\nAnswer: -5, -4, -3, 7, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2656769302 to the power of 1\/4, to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**(6\/13))*k)**39*(k\/(k**(-2\/17)\/k))\/(k**(-1\/5)*k) assuming k is positive.\nAnswer: k**(1897\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*a = 32 + 669 + 173 for a.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20121022202 - -21001?\nAnswer: 20121120210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -221 - 122?\nAnswer: -343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(sqrt(2) - sqrt(50)*3))**2.\nAnswer: 5\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of -5*t**4\/12 - 7*t**3\/6 - 5*t**2. Is 22 a factor of i(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.384 in 5, -1\/9, 0.5, -0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2665 * 33\nAnswer: -87945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 9022*i = -9026*i - 14, 34 = -3*a + 4*i for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 76366930 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-one halves of a litre?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -35 (c) -50 (d) -9 (e) -4 (f) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/4 + 1229*f\/4 + 3723.\nAnswer: -(f - 1241)*(f + 12)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 91 and 637.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 211*a**6 + 2*a**2 - 192 wrt a.\nAnswer: 25320*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12 - -6?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 3 - (21 + -5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x + 17. Let q be h(12). Suppose q*a = 11*a. Solve a = 2*p + p - 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56446, -113582, -170732, -227902, -285098?\nAnswer: -342326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -421 + 29*s - 2*s - 27*s - 2*s**3.\nAnswer: -2*s**3 - 421","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -38572 at most as big as -38571?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11 (b) -3 (c) 0 (d) 5\/122 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((9\/36)\/(1\/2))\/((-14)\/(-112)). Suppose -3*a = -2*a - 1. Solve 3*m + a = g for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11 + -7 - (-4)\/(-2). Suppose 5*h = f*h + 147. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 27. Let q(w) = -w - 8. Let c be q(-10). Calculate the remainder when 58 + 2\/2 - c is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**3 + 20*o - 20*o - 2*o**2 + (-3*o + 3*o + 2*o**2)*(0*o + 11*o + 14*o) to l*o + y*o**3 + f + t*o**2 and give y.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -2*o - 12, o = k - 2*k + 1. Let s be -1 - 6\/(-1) - 1. What is the common denominator of 85\/4 and (-1542)\/(-72) + o\/s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 3*i**2 - 3. Let k(s) = s**3 + 2*s**2 + 8. Let n(u) = -3*u**3 - 6*u**2 - 23. Let r(x) = 17*k(x) + 6*n(x). Give -2*l(y) + 3*r(y).\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/10802 and -7\/1964?\nAnswer: 21604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-54)\/18 + (1 - -8)\/3. Let y be (2 - f)*(0 - 25\/30). What is the closest to y in 4, -4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 8 = 2*v, 0*d + 3*d + 6 = 0. Suppose 3*i - b = 11 - 6, -i + 4*b = -9. Let c = i - v. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 334*s**3 + 189*s**2 + 899*s**2 - s**4 - 143*s**2 + 120*s**3 - 33*s**2.\nAnswer: -s**2*(s - 456)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -4*r + 66. Determine x(10).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 50 (b) -16 (c) -2\/5 (d) 1\/71 (e) 1 (f) 3 (g) -2\/9\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5580 - 6605.\nAnswer: -1025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45047844 + -154063625333\/3420. Let i = o + 5\/342. Calculate the common denominator of i and (-99)\/4 + 1*2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -263.35, -0.1, 16, 0.077, -3 in descending order.\nAnswer: 16, 0.077, -0.1, -3, -263.35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -96869*c**5\/2 - 387473*c**4\/2 - 290601*c**3 - 193729*c**2 - 96857*c\/2 + 3\/2 = 0.\nAnswer: -1, 3\/96869","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -133 + 218. Is w a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 12) to base 14.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of 2*k**2 + 0 - 1\/30*k**5 + 0*k**4 + 0*k**3 + 0*k - 1\/60*k**6. Find the third derivative of c(t) wrt t.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + z - 1. Let m(j) = -5*j**2 - 4*j + 1. Let a(l) = -6*g(l) - m(l). Suppose -3*s + 4*s = 0. Let p be s + -1 - (2 - -1). Give a(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -o**4 + 2*o**3 + 9868*o**2 + 3*o - 345055.\nAnswer: -4*o**3 + 6*o**2 + 19736*o + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 5*k + 25 = 0, -1 = -2*q - k - 7. Let r be q*(-1*5 - 0). What is the second derivative of 2*w + r*w**2 + w**3 + w - 5*w**2 wrt w?\nAnswer: 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 4) to base 9\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -2*n + 8, -2*p = n - 0*p - 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -128 - -228. What is the lowest common multiple of z and 12?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 56 = -4*z + u, 0 = 2*u + 10. Let r = -2 + z. Is r at most 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 4\/5, 2.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*i + 22 - 15 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -25 (b) 31 (c) 0.3 (d) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3289819 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -123*a**2 + 8*a. Let i(v) = v - 40. Determine d(i(h)).\nAnswer: -123*h**2 + 9848*h - 197120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -2*y - 1 - 13, w - 2*y = 2. Suppose 0*n = -w*n. Let h(o) = 0*o + n*o - o. Let u(f) = -2*f. Give u(h(r)).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -5941*z**2 + 3*z + 8. Let i be v(-3). What is i rounded to the nearest 1000?\nAnswer: -53000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1052?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -69 + -1. Let z = k + 74. Which is the second biggest value? (a) 6 (b) z (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*29)\/((2178\/(-22))\/(-11))*-3.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/16 and 73\/84.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 46*x + 206. Let t be a(41). What is the greatest common factor of 32 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 326240 + 24*z + 326254 - 652494.\nAnswer: 24*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 42.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147 = -29*k - 104 + 450 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-5) - (-58)\/5. Suppose 0 = -3*c + f, 4*c - 4 = 5*z + 2. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 4*b**2 + 12*b - 45. Let k be y(-11). Suppose -3187 + k = -2*v. Round v to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1651 = 3*s - 2*u, -4*u + 430 = s - 153. Which is bigger: 556 or s?\nAnswer: 556","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 671, 4456, 14485, 33878, 65755?\nAnswer: 113236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4413?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*y**2 + 2935 - 2*y + 2202 - 7*y**2 - 1978.\nAnswer: -y**2 - 2*y + 3159","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 5*f + 5 = 0, -9*f = -n - 11*f - 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.943 + 0.057. Let y = -0.1 + -1.9. Let w = 2 + y. Which is the nearest to -1\/4? (a) -4 (b) m (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*a = 38*a + 3*f + 162, -241 + 9 = 3*a - f for a.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150345487.\nAnswer: 150345487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**5 + 4*u**5 + u**5 + (u**2 - 3*u**2 + 0*u**2)*(-8*u**3 - 2*u**3 + 9*u**3).\nAnswer: 5*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 300 and 350.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 56*y**2 - y + 8. Suppose -l + g + 16 - 13 = 0, -5*l + 39 = 3*g. Is w(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -49870786, -99741570, -149612354, -199483138, -249353922?\n\"Answer: -49870784*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.01 + -0.01. Let u = -3.97 + h. Let y = 0.0313 - u. What is y rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**2. Let u(f) be the third derivative of 4*f**5\/15 + 13*f**2. Determine u(y(l)).\nAnswer: 64*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of h**4\/12 - 326*h. Let d(l) = -4*l**2 + 9*l. Calculate x(d(q)).\nAnswer: 16*q**4 - 72*q**3 + 81*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -274121 (base 8) to base 7\nAnswer: -550603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 461157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 36, 0, 308 in ascending order.\nAnswer: 0, 11, 36, 308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k - 3*k + 3*k - 3*k - 3. Let z be g(6). Does -10 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*j - 1040 = 32*j - 28*j for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 2, -71, 0.1, -0.038 in ascending order.\nAnswer: -71, -5, -3, -0.038, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -61.904 + -0.096. Let n = -61.9898 - w. Round n to three dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 384953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 7. Suppose -5*h - 53225 = s*x, -13181 = 2*x + h + 8114. Let n = x + 5050. Round n to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/2 of a century in decades?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29069 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-24)\/(-30))\/(2\/5). Suppose 4*c - 3*v = 19, -3*c + 2 = b*v - 8. Suppose 8*a - 92 = c*a. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*1\/(18\/(-27))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(187)*1)\/sqrt(11) + -1)**2.\nAnswer: -2*sqrt(17) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17015850407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 58 + -59 + (-5830)\/(-2). Calculate the greatest common divisor of 62 and u.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/2 (b) -7.2 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-264))\/((-41)\/861)*-2?\nAnswer: -21\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.38394804 * 1.7.\nAnswer: -0.652711668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -945 or -950?\nAnswer: -945","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 731?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) 0.36 (b) 3 (c) -6 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + (0 - 2) + (-12)\/(-2). Suppose -q - 4*f + 31 - 8 = 0, 0 = -2*f + x. Let n be (1\/3)\/(q\/(-84)). Which is the nearest to 2\/9? (a) n (b) -2 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k + 0*k - 2*k**5 + (-k**2 + 1 - 1)*(4*k**3 + 3*k**3 - 5*k**3) - 2*k**2 + 285*k**4 - 285*k**4 - 11*k**5.\nAnswer: -15*k**5 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 531 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8810 or -17617\/2?\nAnswer: -17617\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26 and 962?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 1. Let a = 8 - 16. Let z = 5 + a. What is the closest to r in 2\/9, -4, z?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 1 = 4*q, -2*q = -0*q. Let o = -329 + 2957\/9. What is the closest to d in -5, o, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 2.23961\nAnswer: -6.71883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5 = 3*c, -2*c + t - 1 = -6. Let m be (-1)\/(1\/(c\/12)). Put m, -1\/3, 5\/3 in decreasing order.\nAnswer: 5\/3, m, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 13625*c**2 - 2*c - 2*c + 486*c**2 + 888*c**2. Let j be o(-4). What is j rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -17 + 89 + -85 - (1 - 2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = l - 12. What is the remainder when 102 is divided by l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12196689 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -27. Suppose 0 = -13*v + t*v - 22. What is the greatest common factor of v and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mx when two letters picked without replacement from xxxsmxmmxk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/71 at least 298053?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of 2*p**4\/3 + 5*p**2\/2 - 338*p. Let r(a) = 4*a**2 + 2. Let y = 9 + -14. Give y*r(q) + 2*x(q).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmnmnmnm. What is prob of sequence nnm?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*d**4 - 3850*d**3 - 6645*d**2 - 3500*d - 580 = 0. What is d?\nAnswer: -29, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*k - 4*k - 4*k)*(5*k**3 + 2*k**3 + 0*k**3) + 2*k**4 + 4*k**4 - k**4 to j*k**3 + o*k**2 + a + m*k**4 + i*k and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 + -39. Let n = -0.4 + 0. Let f = 13 - 15. Which is the third smallest value? (a) n (b) f (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1165*w - 1437*w + 10880 for w.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*s - 124*s - 22*s = 1024 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 759*f**4*h**3 + 3*f**2*h**3 + 24*h**3 + h**2 + 1 wrt f.\nAnswer: 3036*f**3*h**3 + 6*f*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24560853 - -54460853. What is x rounded to the nearest 1000000?\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 2*d**2 - 2*d - 6. Let i(o) = 3*o**3 - 5*o**2 - 5*o - 12. Give -2*i(b) + 5*z(b).\nAnswer: -b**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 0. Which is the biggest value? (a) n (b) 5 (c) 1\/4 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 15. Suppose o = -4*f + 24 - 4. Let x be (-1)\/(-3) + (-2)\/6. Solve -k - 2*k + 4*b + 3 = 0, x = -4*k - f*b + 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -12*m**2 - 8*m + 4. Let p(v) = 6*v**2 + 4*v - 2. Suppose 5*x = 5*f + 5, -3*f + 17 = 4*x - 1. Let a(d) = f*t(d) + 5*p(d). Solve a(z) = 0.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1143*m + 17725 = -17708 for m.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16991\/29624 - 9\/4232. Let w = 8 - 8.3. Let q = 0.4 + w. What is the closest to q in o, 1\/2, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g + 850 = -120. Let h = -47 - g. Let j = -258 + 383. Calculate the highest common factor of h and j.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2231*v + 4457*v - 2227*v. Let n(l) be the third derivative of 13*l**4\/24 - l**2. Determine j(n(k)).\nAnswer: -13*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 + 101*k + 2451. Let u be t(-124). Which is smaller: u or 5302?\nAnswer: 5302","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -461*c**2 + 147*c**2 + 152*c**2 + 148*c**2.\nAnswer: -14*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10692807*-0.02.\nAnswer: 213856.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 11 = p + 124, -p + 5 = 0. Let f be 16\/z - (1 - 0). Let c(j) = -j**2 + 7*j + 17. Let g be c(9). Are g and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*m**2*q**3 + 5*m**2*q + 3*m**2 - 143*m*q + m - 2484*q**5 wrt q.\nAnswer: 30*m**2*q - 49680*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.649 - -1.649. Which is the closest to y? (a) 3\/5 (b) -6 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l + 6. Let s be c(-4). Suppose 0 = 3*n + 9, -2*v - s*n + 3*n + 5 = 0. Solve -2*k - 3 = -v for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 64*b**2 + 487*b - 210. Determine d(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 3*p. Let i be a(4). Let t be -1 + 1 - (-2 + -10). Suppose 0 = -17*n + 18*n - 5. Solve 2 - t = n*q, -3*b - i*q = 17 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29328 = -4*u - 2*k, -23*u + 5*k - 36660 = -28*u. Is 156 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -312123 + 312128.000007. Let s = 2 + 3. Let z = s - o. What is z rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -4*a**3 - 28*a**2 + 5984*a - 72192 = 0?\nAnswer: -47, 16, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2203011101 (base 4) to base 9.\nAnswer: -1227265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 v when two letters picked without replacement from {v: 1, j: 2, k: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1044)\/145)\/(2\/(-130)). Let t be (-24 + -2)*((10 - 7) + -7). Calculate the highest common factor of n and t.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 * -19\nAnswer: -0.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6771, -27127, -61071, -108609, -169747, -244491, -332847, -434821?\n\"Answer: -t**3 - 6788*t**2 + 15*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 5:20 AM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85686233 is divided by 38?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - 3 - (-20 - -59 - 21) - (-19 - 1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-77)\/1782*(-81)\/441.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239573 is divided by 10879?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 147906\/(-19422)*7\/(-231)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/44 and -45\/1748.\nAnswer: 19228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 4 + 3)*(4 - 8 + 0)*(1 - k**2 - 1) to the form d*k + n*k**2 + c and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -1844.97\nAnswer: -5534.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 25391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 6:59 AM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*i + 0*i**3 + 4*i + 51*i - 2*i**3.\nAnswer: -2*i**3 + 45*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 393758969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let -605*k**4 - 38555*k**3 - 162000*k**2 + 24800000*k + 320000000 = 0. Calculate k.\nAnswer: -400\/11, -16, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -27.4 bigger than 0.076?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-2712)\/228 - 6\/57.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -232186 - 45039. Let g = 277222.000012 + m. Let t = g - -3. Round t to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.03 - -1. Let z = g - -0.06. Let q = z + -0.13. Which is the nearest to q? (a) -4 (b) 0.1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -6 - (-29 - -22)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -5.7. Let o = 78 + -29. Let f = 295\/6 - o. Sort f, -2, v in descending order.\nAnswer: f, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15078476242 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26076886, 52153761, 78230638, 104307517?\nAnswer: 130384398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, l: 1, o: 1, s: 4, w: 2, b: 6}. Give prob of picking 1 w, 1 o, and 1 b.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10\/99? (a) 0.05 (b) -3 (c) -0.3 (d) -6\/5 (e) -6\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(5\/2))\/f)\/f*f*f*f*f**(-2\/17))**(-2\/27) assuming f is positive.\nAnswer: f**(7\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 727 - -231156?\nAnswer: 231884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a factor of 3521002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 6*q - 8. Let o be -4 + 5 - -24*q. Suppose -3*f + o = -2*r + 172, f = 2*r - 117. Is r 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, -81, -30\/7?\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -442*r + 7414. List the prime factors of u(-8).\nAnswer: 2, 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16460000 rounded to the nearest one million?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g + 4 - 4)*(0 + 1 - 4)*(3 - g - 3) as d + j*g + p*g**2 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12294 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -11b18 (base 12) to base 10\nAnswer: -24068","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 992*f + 117. Is l(10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + 16*m + 58. Let n be h(-10). Which is the closest to -1? (a) n (b) -5 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.328 - -1.628. Let k = -9 - -16. Which is the closest to 0.1? (a) -4 (b) k (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/550 and (528\/352)\/((-165)\/36).\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f**3 - 2*f**2 + 3*f + 3. Let b be u(-2). Suppose -k + 24 = -b*d, 3*d + 0 = -2*k - 4. What is the units digit of (-63)\/(-1) - (4 - k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 70 and 350.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 10031 = -3*l - 1738, 0 = -3*g - 5*l + 4963. Is 38 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 11*m**2 - 18*m - 28. Is 16 a factor of j(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 AM and 10:52 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 5*a + 73. Let c be y(-14). What is the third derivative of -459*r**2 + 18*r**5 - 3*r**3 + 3*r**3 + 0*r**c + 220*r**2 - 3*r**3 wrt r?\nAnswer: 1080*r**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.18 + 0.11. Let k = r + 0.71. Let q = -10.4 - -10. What is the second smallest value in 0.1, k, q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-5)*920\/(-2024))\/(1\/(-2))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 10 = -5*m. Suppose 3*d + 12 = 0, -4 = 2*z + m*d + 2. Let h be (-2)\/(-3) - (-10)\/(-6). Sort z, h, 3 in decreasing order.\nAnswer: 3, z, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3*((((sqrt(605) + -1 + (sqrt(605) - (sqrt(605) + -2)) + sqrt(605))*-4)**2 + -1)*-1 + 3).\nAnswer: -116198 - 2112*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lolwjxwt. Give prob of sequence wt.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwxxxwxwxwwxxw. Give prob of picking 2 x and 1 w.\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/36 and (-507)\/(-2430) + 17\/(-153).\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 1:17 PM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3*u**2 + 4*u + 5. Let z(j) = j**2 + j + 1. Let c(v) = 3*v + 5. Let m be c(-2). Let q(i) = m*d(i) + 4*z(i). Give q(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -319*n**2 + 477*n + 3197. What is i(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**38*z*z*z**11*z*z assuming z is positive.\nAnswer: z**54","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 811043 and 226.\nAnswer: 183295718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 828351888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/16 + 3\/16. Let a(v) be the first derivative of -r*v**4 - 1\/2*v**2 + 1 - v + v**3. Determine a(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, w: 3, h: 7}. What is prob of picking 2 w and 1 h?\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*p**5 - 219475*p**4 - 96316520*p**3 + 19412600*p**2 + 61705840*p + 15417680 = 0. What is p?\nAnswer: -878, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10.653 or 3\/8?\nAnswer: 10.653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -389 divided by -1.\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/5)\/(y**(-3\/4)*y))\/((y**1\/y)\/y**1) assuming y is positive.\nAnswer: y**(23\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-5)\/(-24))\/5*(-8469)\/112. Let s = -1\/128 - h. Is s smaller than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -121331065+-0.4\nAnswer: -121331065.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (37 - ((-2 - 27) + 41)) + 12 + 0.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1*-140\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 5*d**2 - 5*d - 2. Let y be f(-4). Let q(l) = l**2 - 8*l + 4. Let s be q(y). What is the units digit of 34 + 4*(-2)\/s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from {h: 4, y: 14}.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-2 - 1) - -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54038.72ug to kilograms.\nAnswer: 0.00005403872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1218 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 32\/6 - ((-10)\/6 - -3). Solve n = f - 2, -2 = h*n - f - f for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.56 - -0.7. Let q = -0.04 + i. What is the second smallest value in 1\/3, q, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.121 times 130350\nAnswer: 15772.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1638325)\/(-78) + -5 + (-210)\/(-36) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 643*r**3 - 2*r**2 + 12*r + 12. Let n(a) = 642*a**3 - 2*a**2 + 16*a + 16. Determine -3*n(x) + 4*o(x).\nAnswer: 646*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 6 + 6 = 0. Suppose -z = -r*z. Solve 3*l = -4*a, z = 4*l - l - 2*a for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 2*k - 115 = 0, 3*a + 2*k - 75 = -10. What is the remainder when 95 is divided by a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*j + 6. What is the common denominator of j + 905\/(-130) + 2 and (-8)\/12*7\/(-12)?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2011*k + a = 2014*k - 4, k = -2*a - 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + 58*r - 372. Calculate the remainder when 1019 is divided by s(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15.7 + -15. Suppose -5*t = 96 - 11. Let h = -17 - t. Put h, 1\/12, j in descending order.\nAnswer: j, 1\/12, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.230837 plus -5?\nAnswer: -4.769163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2263039567.\nAnswer: 41, 151, 365537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {o: 1, u: 2, f: 1, a: 1, q: 1, r: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/(-77))\/(586\/16115)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(-6)\/27*291\/679.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 7 + 3)*(-1 - a**4 + 1) + (a**2 + 2*a**3 - a**2)*(-a - 17*a + 7*a).\nAnswer: -20*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 3 - (-12 - -15) - -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = q + q - 15*q + 20, 22*t + 3*q + 30 = 19*t for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/13 (b) -0.13 (c) -120 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 612845933?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5*1)\/((-4)\/(-12)). Suppose -2*u = 3*u - j. Solve 0 = u*h + 4 + 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2494246 divided by -50.\nAnswer: 1247123\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**3\/4 - 13*d**2\/4 - 5*d\/2 = 0. What is d?\nAnswer: -2\/3, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3535700 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168*y = 171*y - 12. Differentiate -20 - 7*g**3 + 17 - y*g**3 + 4*g**3 wrt g.\nAnswer: -21*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 - 0.090410486731\nAnswer: 9.909589513269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 6. Let z = -3013\/6 - -505. Let m(h) be the third derivative of 0 + 0*h + z*h**3 + 1\/20*h**5 + 0*h**4 + h**2. Give 6*m(s) + 17*v(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 65, -3\/7, -3, -2\/173, 5?\nAnswer: -2\/173","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -468 + 895. What is the smallest common multiple of d and 77?\nAnswer: 4697","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/m**0*m**6)**32\/((m**(1\/3))**(30\/7)\/(m\/m**(-2\/7))**(-4)) assuming m is positive.\nAnswer: m**(1746\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 + 23*c**2 - 15*c**2 + 38.\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5 = -r + 2*r, -2*r = 3*x - 9. Suppose r = -l + 12. Calculate the lowest common multiple of l and 26.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*i = 13, -2*i - 1 + 11 = 2*k. Suppose k*l - 15 = 3*j, -5*l - 4*j = -5*j - 17. Suppose -8 = -l*u - 2. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1248124*o**2 + 2757035*o wrt o?\nAnswer: 2496248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3604 times 0.298\nAnswer: -1073.992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of g**4\/2 - g + 1. Suppose -3*y + 2 = 5*z, y = -10*z + 5*z - 6. Is d(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224*m - 735 + 3447 = -115*m for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -w**4\/4 - 4*w**3 - 3*w**2\/2 - 12*w - 19. Let l be t(-13). Let b = l - 77. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 44860171?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 42687173 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-3\/16)*n)\/n**(-22))\/((n\/n**(-6\/11))\/n)**(2\/17) assuming n is positive.\nAnswer: n**(68063\/2992)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5767302 * -0.2.\nAnswer: -1153460.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s + s + 1 + 5*s)*(-4*s**2 + 6*s**2 - 6*s**2).\nAnswer: -4*s**3 - 4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2429.9 - 2430. What is the nearest to 1\/5 in 0.3, 5, 333, c?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 19 + 24 - 66 + 22. Let w(z) = -z**2 + 6. Determine -14*v(g) - 2*w(g).\nAnswer: 2*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 m when three letters picked without replacement from yymmm?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 4*o**2 - 4*o + 5. Let m be a(5). Let d be ((-1)\/2)\/((-15)\/120). Suppose 4*i - 24 = -d. Sort i, m, 0 in decreasing order.\nAnswer: m, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3 - 1 = 0. What is the third derivative of -14*y**3 - u*y**3 + 129 - 136 + 2*y**2 wrt y?\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 + -21. Let f be g + 1 + -7 + 4. Let l be (8 - 2)*(0 + f). Solve 6*z = 3*z - l for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -c*g*m*w - 44*c*m*w - 15*c - 3*g*w wrt m?\nAnswer: -c*g*w - 44*c*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -111.8, -3444.\nAnswer: -3444, -111.8, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**5\/j*j**(-1\/10))**39)**(-2\/97))**31 assuming j is positive.\nAnswer: j**(-47151\/485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3*n**3 + 13*n**2 - 5*n - 3. Let w(g) = 2*g**3 + 10*g**2 - 4*g - 2. Let u(p) = 3*i(p) - 4*w(p). Calculate u(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.5 (b) 3 (c) 4\/5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 5*j**2 - j - 1. What is z(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 4. Suppose f = -w*f + 65. Suppose 49 = 5*o - 3*h - 79, 0 = o + h - 24. Calculate the remainder when o is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 0.4, 4, -16?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of y**4\/4 - 8*y**3\/3 + 5*y**2\/2 + 18*y + 11. Let a be w(7). Solve -d = -a*d + 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 + 7*g. Let v be s(6). Suppose v + 12 = 3*x. Suppose x*t + 413 = 2459. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 27, -5, -1, -11 in ascending order.\nAnswer: -11, -5, -1, 1, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-188)\/12 + 0 + 0 and (-2)\/((-4)\/6) - (-1 - 2184\/288).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(1\/8))\/x**(2\/9))\/((x\/((x**(1\/3)*x)\/x))\/x)**(-46))\/(x**(4\/3)\/(x**(-7)*x)*(x\/(x*x**(2\/3)))**(-3\/2)) assuming x is positive.\nAnswer: x**(-1639\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of h**4\/30 - 2*h**3\/15 - 48*h**2\/5 - 20*h - 2. Factor n(p).\nAnswer: 2*(p - 8)*(p + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9511180 is divided by 139?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**4 + 3*d**2 - 3*d**2 + (-6*d**3 - 4*d**3 + 0*d**3)*(-18*d - 66*d - 16*d) to b + q*d + g*d**2 + v*d**4 + w*d**3 and give v.\nAnswer: 999","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32726 + -416021. Let f = n + 317747. Round f to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7878, -15747, -23614, -31479, -39342?\nAnswer: -47203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 32\/5 of a millennium?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + 1 - (9394\/(-7) - 0) a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39696 at least as big as 39694?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3691, -14673, -32977, -58603?\nAnswer: -91551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -5*c**2 - 127680*c - 1403875 = 0?\nAnswer: -25525, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h + 1. Let m be (-10)\/45 - (-200)\/9. Let a = 56 - m. What is the lowest common multiple of l(-5) and a?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 6*z - 94. Suppose 2*p - 38 = 2*w, 4*w = 3*p + 6*w - z. Let h = -32 - -117. Calculate the greatest common factor of p and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185832274 to the power of 1\/2, to the nearest integer?\nAnswer: 13632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k**2 - 2*k. Let o(d) = 1399*d**3 - 1617*d**2 - 6*d. Let b(u) = o(u) - 3*y(u). What is the third derivative of b(v) wrt v?\nAnswer: 8394","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i**3 - 22*i**2 - 9*i - 18. What is p(8)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 + -26 + 3 + (-6 - -2) + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16751*f**4 + 13*f - 266 wrt f?\nAnswer: 201012*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 3*v - 3*a - 0*a, 0 = -2*v - 3*a - 13 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 108 = -1962 + 348. Does 82 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 21040.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2 + 104938*p + 1259544.\nAnswer: -2*(p - 52481)*(p + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zqza when four letters picked without replacement from zqzzazzzyaazyzyzzy?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 20\/57, 43, 5, 4, -8.7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000011511537 to seven dps.\nAnswer: -0.0000115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.28 + -0.27. Let l = -0.8 - f. Let c = -0.249965 - l. Round c to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}