diff --git "a/data/dm_maths/full_data/1296_11255.jsonl" "b/data/dm_maths/full_data/1296_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1296_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let u be (6 + -9)*2\/(-57). Let m = -254 + 3300\/13. What is the nearest to 1 in m, -4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7980)\/7350 - 4\/(-5)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171 = -2*b - b + 3*k, 5*k + 232 = 4*b. What is the greatest common factor of 2 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 5*x**4 - 14*x**3 + 70*x. Let n(f) = -11*f**4 + 28*f**3 - 139*f. Let t(y) = 5*m(y) + 2*n(y). What is the second derivative of t(z) wrt z?\nAnswer: 36*z**2 - 84*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -4\/25 (b) 1\/2 (c) -2\/5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5096, 5095, 5092, 5087, 5080, 5071, 5060?\nAnswer: 5047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 83 = 5*j, 3*x + 12*j + 24*j = -615 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1744*w**3 - 3472*w**3 + 1738*w**3.\nAnswer: 10*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37 - 37. Let i = 95 + -109.1. Let o = i + 14. Which is greater: d or o?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2156 - 9043 = 5*d - 51*b - 57*b, -4*b = -4*d + 34 - 270 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -50*x + 50*x - 14*x**2 + (x - 3 + 3)*(4*x - x - x) + 2*x**2 + 0*x**2 - 3*x**2.\nAnswer: -13*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) + -1 + sqrt(2448))*-2 + -3 + (sqrt(153) - (-1 + sqrt(153))).\nAnswer: -48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 8370\/17 and 492 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, i: 4, o: 3, t: 5, a: 1}. Give prob of picking 1 a, 1 i, and 1 o.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3944 and 16?\nAnswer: 7888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (7520\/(-1175))\/(3\/((-30)\/(-4))). Let l(q) = q**3 + 18*q**2 + 30*q - 20. Determine l(t).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 95 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 713 - 792.8. Let y = f + 80. Which is the nearest to 3? (a) -0.2 (b) -3\/7 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 + 5*u + 2. Let n(s) = 2*s**3 + 3*s**2 + 2*s + 3. Let b be n(-2). Let d be m(b). Solve d*k = -0 + 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.7967917 rounded to 1 decimal place?\nAnswer: 11.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -609*q + 619*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 7*j**2 + 7*j + 29. Calculate the remainder when p(-6) is divided by 2 - ((-3)\/1 + 2)*5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - (sqrt(68) - (sqrt(68) - 1*-2*sqrt(68))))\/((sqrt(20)*-2)\/sqrt(5)) - ((sqrt(833) + 1 - sqrt(833)) + sqrt(833) + -5 + 2*(sqrt(833) + 1)))**2.\nAnswer: -90*sqrt(17) + 34441\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**3\/21 + 1586*o**2\/21 - 54770*o\/7 - 3595950\/7 = 0. What is o?\nAnswer: -45, 183, 655","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -34 + 8928\/264 - (-2)\/11*12. Solve a*w - l = -5, 5*l - 16 + 13 = -w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (58 - 55) + (3 + 1 - (0 - 0)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27 - (8 + 9)) + -2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 0 + 6 = h, -2*h + 4*u + 12 = 0. Let n(z) = 3*z - h*z - 9*z - 16 - 4. What is the tens digit of n(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 477*q - 683*q - 61*q**3 + 6*q**2 - 3*q**2 + 63*q**3 + 162*q**6 - 22*q**6 wrt q.\nAnswer: 16800*q**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*l = 31*l + 41*l - 130272. Is 59 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1872059?\nAnswer: 7, 31, 8627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 48561143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g - 27. Let q be t(-14). Let a(v) = -12*v. What is a(q)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64430, 129297, 194176, 259073, 323994?\nAnswer: 388945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3333810 and 3330.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 10*z**2 + 14556. Let c(t) = 2*t. What is v(c(o))?\nAnswer: 40*o**2 + 14556","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -6*b**2 - 861*b - 341. Determine f(-143).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 8*b**2 + b + 7. Let m be 7 - (-13)\/((-65)\/75). What is d(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1285 - 60356.\nAnswer: -59071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 8*n. Let l(w) = -93*w**2. Determine l(f(b)).\nAnswer: -5952*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 89*p**3 - p**2 - p - 4. Let c be d(4). Suppose -20*u = -c - 348. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-25)*(-155)\/(-372).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 4, -4*l = 2*o - 7*o - 10. Suppose 4*a = 3*a + l*t + 22, 5 = -5*t. What are the prime factors of a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.0548541ug?\nAnswer: 0.0000000000000548541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 738 or 2947\/4?\nAnswer: 738","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 81990122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -134*v - 718. Let l(z) = 120*z + 718. Calculate 10*l(j) + 9*s(j).\nAnswer: -6*j + 718","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -3*o. Suppose -7*v + 2*v + 3*c + 144 = o, -3*v = -c - 84. Suppose -3*u + v = 2*h, -u = -h - 6*u + 31. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -59840 + 59845. Let t = -0.5 + 0.3. Let j = 0.1 + t. Which is the second biggest value? (a) j (b) -11 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**2 + 71*q + 24. Let m be v(-35). Let r be 12\/(-20)*m\/33. Which is the closest to r? (a) 0.1 (b) 0.2 (c) 5 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = -3*z - 37. Let l = z + 42. Let w = -0.4 - 0.1. Which is the biggest value? (a) w (b) -0.2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-10))**(4\/11) assuming d is positive.\nAnswer: d**(-40\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -64 - -74. Let y be m\/3*22*(6 + -3). What is the highest common factor of 88 and y?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 2*h + 25. Let c be (h + 0)\/(1\/(-20)). Suppose 9*f - c = 4*f. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -147 - (-33 + -7 + 39 + -15).\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 67 + -45. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 4 + 20. Let u be ((-4)\/(-68))\/(3\/p). Is u >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14520736?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05631, -0.3, 5, -2, -1 in increasing order.\nAnswer: -2, -1, -0.3, -0.05631, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -26, -9 in increasing order.\nAnswer: -26, -9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 4*j - 25. Let h = 84 - 80. Calculate the remainder when j is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v - 2*v + v)*(-1 - 4 - 3)*(-v**2 + v**2 + v**2).\nAnswer: 32*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 385 is divided by 375.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*p**5 + 3*p**4*r - 3*p**3*r + 3*p**3 + 19*p**2 - p*r + 3*p + 3*r wrt p.\nAnswer: 780*p**2 + 72*p*r - 18*r + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does -152611830 = -152611829?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -32*h**3 - 4*h**2 - h - 12. Does 19 divide i(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 101\/146 - 213\/730. Which is smaller: 11534 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 84\/(-9) - (-5)\/15. Let c = -8 - x. Solve -5 = g - c for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -175*u**5 + 35*u**4*z + 2*u**2*z - u**2 + 11573*z wrt u?\nAnswer: -10500*u**2 + 840*u*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3887 - 114*v + 3887 + (-4 - 3 + 0)*(-2*v - 3 + 3))*(-2*v - 2*v + 0*v) to n + w*v**2 + m*v and give w.\nAnswer: 400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 7*g - 10. Is y(5) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199*t + 128*t = -30*t + 714 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**2 + 1787935177896*v**3 + 4*v**2 - 1787935177888*v**3.\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184*r - 1218 - 174 = -6360 for r.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -11*b - 17. Let u(w) = -2*w - 3. Let l(x) = 34*u(x) - 6*y(x). Let p(t) = 53*t - 74*t - 51*t. Give p(l(o)).\nAnswer: 144*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 24527096 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 250, 38, -0.4 in ascending order.\nAnswer: -5, -0.4, 38, 250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -29 + 2 + 64 + -20\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -47 + (28 - (2 - 3))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 123.31+4\nAnswer: 127.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -409, -1010, -1781, -2806, -4169, -5954?\n\"Answer: -14*h**3 - h**2 - 500*h + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -101*b**3 + 49*b**3 + 7*b**2 + 3*b + 49*b**3 to the form m*b + f*b**3 + g*b**2 + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-3) - -2)*3. Suppose 5*q - 4*c - 23 = 0, m*q = -5*c + 9 + 41. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57128 divided by -1.\nAnswer: 57128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of 2\/15*d**5 - 16\/3*d**3 + 0*d + 0 + 2\/3*d**4 + 6*d**2 - 1\/30*d**6. Solve n(g) = 0 for g.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + r + 5. What is o(5)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) 4432 (b) -1\/3 (c) 3\/7 (d) -15\/7 (e) 5 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 4\/11, 0, -1?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 28.2973 and 1603.\nAnswer: 45360.5719","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -8. Let i = 11 - p. What is the derivative of -3 + i - l - l wrt l?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**2 + 94*p - 4*p**3 - 91*p - 6*p**3. Let f(i) = -i**3 + i. Give 3*f(h) - k(h).\nAnswer: 7*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in months?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, y: 4, m: 1, o: 1, q: 2}. What is prob of picking 2 k and 1 o?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 3*i**2 - 2*i. Let b be v(-2). Suppose -l - 7 + 41 = b. Suppose -l = -5*z + 41. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 591 is divided by 247.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -20*h + 105. Calculate s(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cel. Give prob of sequence el.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 6:59 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8280 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = 452 - 2167. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence arw when three letters picked without replacement from wvwyarvyvv?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15808 and 468?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 d when three letters picked without replacement from {w: 2, i: 1, d: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3350 - -5614. List the prime factors of k.\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 24 (b) -5\/3 (c) 2 (d) -0.1 (e) 2\/13335\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*j - 1 + 3*j - 34*j + 0 - 46*j.\nAnswer: -87*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 340\/39 - 821\/546. Calculate the common denominator of k and -107\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z - 2*z - z)*(741 + 1765 + 4674 + 5407 - 2158).\nAnswer: 20858*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of u**5\/60 - u**2. Let g(o) = o + 4. Let c(f) = -1 + 2 - 4 - f. Let r(d) = -4*c(d) - 3*g(d). Calculate r(h(p)).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i - 1041 = -978 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/4 in -0.3, -4, -2209, -1, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/8)\/((-23)\/(-92)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of s**4\/6 - s. Let h(k) be the first derivative of -3*k**2\/2 + 85. Calculate d(h(q)).\nAnswer: 18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -196, -1\/4, 3 in ascending order.\nAnswer: -196, -1\/4, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.08 - 0.18. Which is the closest to y? (a) 6 (b) 3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q + 21*q + 25 = 0. Sort q, -4, -1, -3 in increasing order.\nAnswer: q, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(156) + -2*sqrt(156))\/sqrt(12) + sqrt(13) - (sqrt(208)\/sqrt(4) + sqrt(13))).\nAnswer: -15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 4*m = -3*k + 6, 0 = -2*k - m + 4. Let i be (2 - k)\/(-3*5\/(-15)). Let s be (4\/(-130))\/(2\/20). Which is smaller: i or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4012 + 1306120?\nAnswer: 1302105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2323960?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -12*n**2 - 8*n + 13. Let c(m) be the first derivative of m**3\/3 - m + 25. Let p(z) = 5*c(z) + y(z). Let u(l) = -l**2 - l + 1. What is p(b) - 6*u(b)?\nAnswer: -b**2 - 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 + 0.4. Let l = -11529 - -11509. Put -0.4, f, 3, l in ascending order.\nAnswer: l, -0.4, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86616058?\nAnswer: 2, 137, 347, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 0.2, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of z**3\/3 - 3*z**2\/2 - 5*z - 12. Let j be a(-2). Solve 3*m + 4 = -w - 0*w, 18 = -4*m + j*w for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 10*s**2 + 5*s + 17470. List the prime factors of m(0).\nAnswer: 2, 5, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38 + (-9760)\/176 + 18\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24057852 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13209.93661 + 13209.3. What is h rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7*1\/(-5) - 1)*5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2954 and 24054?\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 413 is divided by (18\/(-10))\/(12\/(-680)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1)\/v)**43)**(-1\/3)*(v\/(v**(4\/7)\/v*v))\/((v**(-2\/3)\/v*v)\/v)*(v\/(v\/v**(-5))*v)\/v*v**(1\/4)*v assuming v is positive.\nAnswer: v**(2269\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 81 + -58. Let q = -12 + x. Let g = -45 - -78. What is the greatest common factor of g and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -9*o**2 - 6. Let k(v) = -8*v**2 - 5. Determine -5*b(r) + 6*k(r).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7259047?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -5*h**3 + 595*h**2 + 5000*h + 10160 = 0.\nAnswer: -4, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2\/15, 2, -5 in descending order.\nAnswer: 3, 2, 2\/15, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1054305353 and 837.62?\nAnswer: 1054306190.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 2*d - 6 = 3*k, -10 = -5*k - 5*d for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 36*w**2 - 10 + 39*w**2 - 62*w**2 + (-2*w - 2*w + w)*(-3*w + w + 3*w).\nAnswer: 10*w**2 - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -5. Let m = o + 6. Let v(z) = -z**2 + 8*z - 1. Let l be v(m). What is the highest common factor of l and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 33853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.3 - -4.13. Let n = 0.17 + s. Let u = -0.7 - -0.5. Which is the nearest to n? (a) u (b) -0.5 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 39 + 13 = 3*y, 34 = 4*x + 2*y. Suppose 1 + x = 2*i. Solve i = 4*m - 16 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 + 15 = -5*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/60*-6)\/(4\/20)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/108 and 64\/99?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 0 + 8*z + 0. Let f(l) = -9*l. Let x(g) = 73*g + 70*g - 154*g. Let i(n) = 6*f(n) - 5*x(n). Give i(v(k)).\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.59, 1, -1\/635, -7\/2?\nAnswer: -1\/635","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (77 + 35 + 40)*(13*y - 15*y + 7*y)*((2*y + 3 - 3)*(-2 + 1 + 3) - y + 3*y + 0*y).\nAnswer: 4560*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3061 is divided by 31.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31 - -43103?\nAnswer: 43134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 10}. What is prob of sequence llll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -302*g**3 + 197 - 69 - 65 - 63.\nAnswer: -302*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 6207, -5\/6.\nAnswer: -5\/6, -1\/2, 6207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69658979106 + -0.08906.\nAnswer: -69658979106.08906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 7*u = 13*u - 190. Suppose 4*x - 21 = 3*y, 2*x - 4*y = -9 + 27. Solve -x*p = 2*l - u, 10*p - 5*p = l + 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 50\/27 and ((-7421)\/(-287))\/((-90)\/(-7)).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**2 + 0*z**2 - 2*z**2 + 48*z - 17*z**3 + 7*z**2 + 13*z**3 = 0. Calculate z.\nAnswer: -3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -377 - 101. Let y = 498 + m. Solve h - 3*w + 12 = 5*h, 2*h + 5*w - y = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 * -30237744.\nAnswer: -272139696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*q - 352 = -26*q. Suppose 24 = 3*r - r. What is the remainder when q is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2110 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + 1)*(-40)\/16. Let s = 2 + -3. Which is the closest to s? (a) p (b) -0.2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -69.028 + 69. Round r to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*w - 4513 = -28801. What are the prime factors of w?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 140517*u = -140512*u + 58, 60 = -5*o - 4*u for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -y**5\/10 - y**4\/2 - y**3 - y**2 + y - 3. Let w(h) be the first derivative of c(h). Solve w(t) = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of r**2*y**6 + 97*r**2*y**4 + 84*r**2*y**2 - 2*r**2 - r*y**2 wrt y?\nAnswer: 120*r**2*y**3 + 2328*r**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 60 = 68 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -24 and 499.\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/5, 3, -492, -11\/53?\nAnswer: -492","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -343?\nAnswer: -343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of 0*c - 2 - 7*c + 5 + c**2 - c. What is the lowest common multiple of a(6) and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/(-6) + 6649\/(-2289) and 26\/99?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1610, -3, 7, 29 in descending order.\nAnswer: 1610, 29, 7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 59.01 + -58. Let q = b - 0.01. What is the biggest value in q, 0, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4330 + 5968. Calculate the greatest common divisor of a and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49752473.\nAnswer: 23, 167, 12953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6552797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-170)\/(-17) + (-19)\/2. Which is the nearest to -2? (a) h (b) 3 (c) -0.19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 i when four letters picked without replacement from {k: 5, i: 3}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4289*k**3*m**3 + k**3*p - 2*k**2*m*p + 589*k**2*p - m**3*p wrt k?\nAnswer: 25734*m**3 + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*f + 135 + 49 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 l when four letters picked without replacement from {b: 1, f: 1, l: 5, y: 7}?\nAnswer: 25\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -20770 divided by 5\nAnswer: -4154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26150 is divided by 476?\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*s**5 - 15*s**4 + 4*s + 55 wrt s?\nAnswer: 60*s**3 - 180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8620 and 6896.\nAnswer: 34480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**3\/9 - 2728304*k**2 - 25122277798072*k\/3 + 301467726452768\/9 = 0. Calculate k.\nAnswer: -6138686, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -686590*y - 13731805. Determine a(-20).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 361*t = 371*t + 20 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/1900 and -31\/8654120?\nAnswer: 43270600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -78*x + 254. Let g be y(-25). Suppose i = 3*d - 943, -5*d - 4*i - 621 = -g. Calculate the highest common divisor of d and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14\/(-7)*2*(-6 + 4) and 76.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1135 + 1113 + (-2 + 2 - (-2 - -21)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -718 + 720. Solve -s*b = b - 4*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 4*d = 20, -t - 3*t + 6 = -3*d. Let a(g) = 56*g - t - 352*g - 24*g. Is a(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.294051 + 0\nAnswer: -3.294051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.32191 - 4.32. What is o rounded to 4 decimal places?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 9*t**2 + 11*t + 6. Suppose d + p + 3*p + 12 = 0, 2*d = 4*p + 36. Does 8 divide u(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -774 = -11*u + 2*u. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2422 a factor of 17043614?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 7*y + 6. List the prime factors of a(5).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-552)\/(-27)*(-342)\/(-152).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 12:08 PM?\nAnswer: 11:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((-27)\/(-396)*11)\/((-18)\/(-8)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1820 and 80.\nAnswer: 7280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)*-1 + 5 - 5*(-1 + sqrt(252)))**2.\nAnswer: -720*sqrt(7) + 9172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 11:16 AM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 16411814 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 282249.3 to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 720\/84 - (36\/6 - 2).\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**7*c*c**(1\/2))\/(c\/(c**7*c)*c**(3\/8)))\/((c**(-8)*c)\/(c**10*c))**(-14) assuming c is positive.\nAnswer: c**(-1895\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 - 5*w - 2. Let p be c(6). Suppose -2*l = l - 15. Let f = -1 + l. Solve f*z - 4 = -p*j, 0 = 4*z - 2*j - 23 + 1 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - 14.2421.\nAnswer: -14.2421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -209\/3 + 70. Determine n so that 1\/3*n + 0 - 1\/6*n**2 + 1\/6*n**4 - i*n**3 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8810.6043431 + 8810.6. Round w to five dps.\nAnswer: -0.00434","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = 4*x + 32, 130 = 2*n - 4*x + 122 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of 1\/12*z**4 + 0 + 7\/2*z**2 - 1\/6*z**3 - 4*z. What is b(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -557*w + 1251*w - 466*w + 2 in the form b + t*w and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 910031 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/8*(-2)\/9. Let g be (6\/8)\/(1\/4). What is the biggest value in -1\/3, g, h?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of -t**4\/24 - t**3 - t**2. Suppose -3*u - 14 = 4. Let r be x(u). Solve 0 = 4*m, -2*p + r*m = m for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10782225.\nAnswer: 3, 5, 173, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 0 + 4. Let i = s + -1. List the prime factors of 4 + 9\/(i + 5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4240754?\nAnswer: 2, 7, 109, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (-8 - (-6 + -6 + 25 + -27)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -68703 divided by -31?\nAnswer: 68703\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -0.191.\nAnswer: -0.0764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 7243?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 16908 + 4400 = 0. Let a = -1359 + j. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.396 * -2.56\nAnswer: 8.69376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0950095 rounded to 4 decimal places?\nAnswer: 0.095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 139843353 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36740.99 micrograms to nanograms.\nAnswer: 36740990","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -70746*d**6 + d**5 - 2*d**3 - 6299*d**2 - 1103.\nAnswer: -8489520*d**3 + 60*d**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**2 + 90*n - 59. Let l be j(-46). Put 5, -2, l in decreasing order.\nAnswer: l, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117\/(-351)*(-5)\/1.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4862 and 11011.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39201 is divided by 1960.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -464 + 464.542. Let z = f - 0.842. Sort -1\/4, 2, -1, z in decreasing order.\nAnswer: 2, -1\/4, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -83\/24*d**4 + 68*d**2 + 1\/20*d**5 + 0*d + 0*d**3 + 2 + 1\/5*d**6. What is the second derivative of i(s) wrt s?\nAnswer: 144*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3705395 or -3705428?\nAnswer: -3705395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*h = 220 + 92 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 9:46 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1132344722?\nAnswer: 2, 566172361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000155264 rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6191 a factor of 2120151287?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26613 - 26595. What is the smallest common multiple of a and 17154?\nAnswer: 17154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5735*h**2 - 6108*h**4 + 679*h**3 + 12214*h**4 - 6105*h**4 wrt h.\nAnswer: 24*h + 4074","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (24\/(-9))\/(2\/(-3)). Suppose o - 10 = -3*n. Factor n*c - 3*c + c + 2*c**2 - 2*c**3.\nAnswer: -2*c**2*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/7, -4, 1\/12, 3, -1\/447, 2\/19, -0.3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x - 4*p + 16, -5*p + 3 = -4*x - 18 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -16. Suppose i*d - 4 = 2*d. Solve 0 = -d*t - 21 + 5 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(324) + sqrt(36))*-4)\/((-2*sqrt(12) - sqrt(12))*-6))**2.\nAnswer: 64\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 24, 26, 28, 30, 32?\n\"Answer: 2*f + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + 10*r - 9. Let l be t(8). Let j be (-4)\/14*-1*l. Suppose 7*u - j*u = 50. Solve -3*g + u = -g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2403557062?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 4:46 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3888) + -1)**2 - ((sqrt(297) - sqrt(33))*1)\/sqrt(11).\nAnswer: -74*sqrt(3) + 3889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k\/(k*k\/(k**(1\/3)*k))))\/k**(-4))\/(k**(-2\/3))**(23\/4))**(-8\/9) assuming k is positive.\nAnswer: k**(-68\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -119 + 52. Let q = 66.13 + n. Let m = q + 0.37. Sort -1\/9, -6\/7, m.\nAnswer: -6\/7, m, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -269*b - 8. Let p be z(-5). Suppose 4*o - p = -3*f, 0*o - 2*f = 3*o - 1003. Let k = 708 - o. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 14*m**2 + 8*m - 28. Let s(i) = 5*i**2 + 3*i - 9. Let c(w) = -4*o(w) + 11*s(w). What is c(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c - 143 = 2989. What is the remainder when c is divided by 70?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v - 8*v - 66 = 0. What are the prime factors of (-4)\/v + 379340\/572?\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59942 times -0.475?\nAnswer: 28472.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of -v**6\/120 - v**5\/15 + v**4\/12 - 5*v**3\/6 + v**2. Is o(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*112\/600*6\/(-4).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - -10. Calculate the greatest common factor of 40 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -186706699734 plus -0.108?\nAnswer: -186706699734.108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - 5*m**2 - 5*m - 1. Let d be w(6). Let k be d*((-13)\/5 + 3). Suppose -132 = -x - k*x. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -78, -171, -264?\n\"Answer: -93*h + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2. Let b(r) be the second derivative of r**7\/1260 - r**4\/4 - 2*r. Let y(u) be the third derivative of b(u). Calculate y(p(k)).\nAnswer: 2*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 168920.2ms to nanoseconds.\nAnswer: 168920200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d + 4*x, -2*d - 11*x = -10*x - 9 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -8*j + 2. Let d(y) = -17*y + 5. Give 2*d(g) - 5*q(g).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-1 - (-36 + 33) - (-2 + -1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -238*o + 10. Let g be b(-5). Round g to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.133+23045.523606\nAnswer: 23047.656606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6259 divided by -13.\nAnswer: 6259\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -7. Let k = 0.839 + 387.161. Let m = k - 387.5. What is the nearest to -0.02 in m, -0.4, j?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.18 - 0.08. Which is the closest to 2? (a) p (b) 3 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -137 divided by 7\nAnswer: -137\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7930 + -7895. Solve 5*p + 2*h - 37 = 0, 0*p + 5*h - k = -p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43 + -35 + 11 + 58\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.051 + 215.051. Let w = -214.9346 + v. What is w rounded to 3 decimal places?\nAnswer: 0.065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10451 + -6910. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**2 + 4*s**2 + 5*s**2)*(s - 2 + 2*s**2 - s).\nAnswer: 10*s**4 - 10*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 5*x + 8649 - 44874, -4*j = -3*x - 72471. Is 120 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjggjjm. What is prob of sequence mjg?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 b when two letters picked without replacement from {v: 3, b: 4}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -376*g + 14952 = -372*g. Let b = g + -2027. Is b a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27824149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/8, -1\/11, 2\/1889?\nAnswer: 2\/1889","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -447016, -447007, -446994, -446977?\nAnswer: -446956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, -70\/211, -4, -3.\nAnswer: -4, -3, -70\/211, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 228790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18.87983kg to tonnes.\nAnswer: 0.01887983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -8162.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -q**4\/24 + 47*q**2. Let a(k) = 5*k + 9. What is h(a(x))?\nAnswer: -5*x - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -6*d**2 + 4*d + 6. Let s(o) = o**2 - o - 1. Suppose 5*l = h - 6, 0 = -6*l + 2*l + 4*h - 8. Let f(t) = l*v(t) - 4*s(t). Factor f(b).\nAnswer: 2*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 49 + 2*f - 8*f + 38. Let l be a(26). Let d = l + 100. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 11:19 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 63*l**4\/4 + 23883*l**3\/8 - 84543*l**2\/8 - 113511*l\/8 - 5211\/8 = 0?\nAnswer: -193, -1, -1\/21, 9\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 246312084 and 172?\nAnswer: 246312084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81850?\nAnswer: 2, 5, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18.455 - 18.355. Let o = -2 + 1. Which is the nearest to o? (a) -0.1 (b) s (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((39\/546)\/(2\/(-8)))\/(-5 - 30780\/(-6160))?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 0 (b) 3 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 681\/231 - (-29)\/203.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 - 30. Let t(y) be the first derivative of 1\/16*y**4 - 4 + 1\/4*y**3 + 3\/8*y**z + 1\/4*y. Factor t(x).\nAnswer: (x + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = j + v + 3, -4*j = -3*v - 1. Let a(p) = -p**3 - 6*p**2 - 2. Let q(i) = -2*i**3 - 11*i**2 - 4. Calculate j*q(z) - 7*a(z).\nAnswer: -z**3 - 2*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/6 + 848299*i**2\/3 + 239869266731*i\/2 - 479743057734.\nAnswer: (i - 4)*(i + 848301)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 2 - (-10 - 0)) + 7?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*c**4 + 856*c**3 + 40316*c**2 - 42904*c - 82368 = 0. Calculate c.\nAnswer: -143, -72, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, k: 12}. What is prob of sequence jkk?\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72)\/154 - 12864\/(-5896).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 1414?\nAnswer: 1414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.873654 years in millennia?\nAnswer: 0.009873654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 2 - (1 + 0 + 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3807, 3805, 3797, 3777, 3739, 3677?\nAnswer: 3585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/(-52) - (282\/26)\/(-1). Let d(l) = 5*l**3 + l**2 - 6*l + 1. Let a(v) = 9*v**3 + v**2 - 11*v + 2. What is m*d(g) - 6*a(g)?\nAnswer: g**3 + 5*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05157 to 3 dps.\nAnswer: 0.052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 70*l**2 - 136*l + 106. Let k be a(-68). Calculate the greatest common factor of 4346 and k.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + -1 + (-10 - -9) + 7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -3*n + 4, -4*x - 3*n + 3 = 0. Suppose -1 = -x*a - a. Let s = 3 + a. Put 1, -4, s in descending order.\nAnswer: s, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*c**6 + 8*c**4 - 46*c**3 + 202*c**2 - 54*c?\nAnswer: -1920*c**3 + 192*c - 276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8608153907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12003 + 11929. Sort -0.1, o, -3 in descending order.\nAnswer: -0.1, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 4*t = 12 - 41, -4*j - 4*t = 4970 - 4986 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -8*g - 40. Let h be t(-5). Let m(y) = y**2 - 3*y - 2. Give m(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21\/(-15) - -2 - (-2070720)\/1800 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 8, 6 in decreasing order.\nAnswer: 8, 6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -143.1 + 143. Let x be (-1)\/2*(-9 - -1). Which is the closest to q? (a) -12 (b) -3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -129369197*n + 61239279?\nAnswer: -129369197","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = 12, -4*s = 5*a + 6 + 40 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5671?\nAnswer: 53, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**4 - 13*f - 22*f**3 + 30*f**3 - 17*f**3 + 3*f in the form s*f + v + w*f**3 + t*f**2 + h*f**4 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.14 + 5.86. Let g = k + -6.3. Let a = 0.7 - g. Which is greater: 0.1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6361, -6365, -6369, -6373, -6377?\nAnswer: -6381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -221, -1617, -5411, -12803, -24993, -43181?\n\"Answer: -200*s**3 + s**2 + s - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 94 (b) -3\/4 (c) -8 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (91 - 91 + 63*d**3)*(-2*d - 2*d + 6*d)*(6 - 6 + 8*d).\nAnswer: 1008*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10844 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*t + 7 = 7 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 4*j**2 - 11*j + 3. Let b be d(-6). Let k be (-215)\/60 - b\/12. Do k and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-3)*36\/(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/31, -0.3, 1\/6, 25\/2, 14, -16 in ascending order.\nAnswer: -16, -0.3, 1\/6, 6\/31, 25\/2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141542081*x + 141542081*x - 14*x**3.\nAnswer: -14*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 36. Let u = -231 + 333. Let o = y + u. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 173401?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 12*o + 37. Let a be l(-3). Which is greater: 4\/101 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = 8*j + j + 13, -1695*b + 1694*b = 2*j + 5 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1810\/(-14 + 0 + 16) and 2?\nAnswer: 1810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4029 + 4028.95. Which is the nearest to 0.1? (a) w (b) 1 (c) 2 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42 - 78. Let k = j - -40. What is the closest to -21 in k, -4, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224659 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 q when three letters picked without replacement from qqqcsqqqssccqqss?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -685360 rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98824.\nAnswer: 2, 11, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-6)*12\/(-8). Let w = 11 - c. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.083 - 5.083. Which is the closest to -1? (a) m (b) -4\/7 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7456 and 4320.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*o = -2. Let u be o\/((-1 - -4) + -2). Let b = u + 2. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 2 + 724586*x**3 - 724588*x**3 - 4.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.152 and -0.5.\nAnswer: -2.076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 18*g**2 - 7*g - 18. Let t be d(9). Let v = t + -11389. Let n = 19612 + v. What is n rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6082ea (base 15) to base 9.\nAnswer: 8555854","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -173.1 or 10?\nAnswer: -173.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -139746 + -0.57?\nAnswer: -139746.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 divided by 3442.\nAnswer: 31\/3442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 427\/450 - 3\/50. Let v = 428 + -453. Calculate the common denominator of d and 213\/36 + 20\/v*-5.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xtyononx. Give prob of sequence nn.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -2*x - 5. Suppose 4*d + 4 = 3*k - x*k, 5*d + 11 = -k. Solve -k*c + c = -15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w - 2. Suppose b = -2, -7*t - 5*b - 46 = -3*t. Let n(y) = 1. What is t*n(l) - 4*v(l)?\nAnswer: 4*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = k + 5*c + 31, -5*k = -5*c + 10. Suppose -s + 4 = -5*s. Put k, -2, s in ascending order.\nAnswer: k, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 5*k + 17. Let a be w(-4). What is the remainder when 15 - -1*0\/a is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 27. Let o be (7 + -3)*(-1)\/w. Let p(l) = -l + 5. Let m be p(3). Sort o, 0.1, m in increasing order.\nAnswer: 0.1, o, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence spll when four letters picked without replacement from lsvvllplpvfvsr?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -157*c**3*u - 2*c**3 + 1756873*c*u**2 + 270*c - 394021 wrt u?\nAnswer: -157*c**3 + 3513746*c*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 76379*i**4 + 9*i**3 + 111943348?\nAnswer: 305516*i**3 + 27*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.019*-1461658.\nAnswer: 27771.502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 5:00 AM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + i - 16 - 30 + 37 = 0, -5*i = -40 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2965362428 to the power of 1\/2, to the nearest integer?\nAnswer: 54455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 16*d**3 + 10*d**3 + 15*d**3.\nAnswer: 9*d**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**4\/k*k)*k)\/k*(k\/(k\/(k**30*k)))\/k*((k**(-2\/45)*k)\/k)\/(k**(3\/2)*k) assuming k is positive.\nAnswer: k**(2201\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, n: 1, w: 3, y: 2, a: 5}. What is prob of picking 1 a and 1 m?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 7) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14762501 is divided by 92?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26288 + -14911. Suppose d = 11*q - 1460. Suppose -3*n + 1242 = -q. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in i**4\/6 + 27*i**3 - 28507*i**2\/6 - 425690*i - 420912 = 0?\nAnswer: -237, -72, -1, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -n**6\/7 + 8*n**5\/35 + 2*n**4\/7 + 59. Solve s(r) = 0.\nAnswer: -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10.86 + -0.14. Let a = m - -11.2. Are -4 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of -i**6\/15 + 7*i**5\/10 + 2*i**4\/3 - 28*i**3\/3 - 30*i + 5. Let y(m) = 0. What is m?\nAnswer: -2, 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4818 + 6751. Is 13 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 15*d**2 + 14*d - 30. Calculate l(14).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*c - 14*c + 50 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1 and 7176777.809?\nAnswer: 7176776.809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 - 5*a - 10. Let z(r) = -r**3 - 5*r**2 - 3*r + 3. Let k be z(-3). Let h be (-5)\/(-30) - 41\/k. Let l be j(h). Is l not equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/10)\/((-10)\/(-425)). Round b to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-862)\/(-5) - ((-126)\/(-35))\/(-6).\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*n - 4*n + 2*n)*(-6*n - 7*n + 14*n) + 12*n**2 - 4 + 4 to the form r*n**2 + f + o*n and give r.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -9. Suppose -2*t + t - 41 = -4*y, 45 = v*y + 5*t. Does 4 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10101001212001 (base 3) to base 8.\nAnswer: -6654770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 r when two letters picked without replacement from {v: 2, g: 1, r: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -113905.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-2)*2324\/(-42). Suppose 48 - j = -a. What are the prime factors of a?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 41 (b) 1 (c) -1\/2 (d) -58\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(((-8)\/52)\/(-1)). Let q(s) be the first derivative of -s**2 + 17*s + 3. What is the units digit of q(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -48 (base 9) to base 13.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00575927789 to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -267671, -1070676, -2409023, -4282718, -6691767, -9636176, -13115951?\nAnswer: -17131098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 10:53 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 13*m**2 + 7*m. Let a(w) = -9*w**2 - 5*w. Let s(y) = y**3 + y**2 + 2*y + 1. Suppose 0 = 2*i - 6*i - 8. Let v be s(i). What is v*a(k) - 5*o(k)?\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kq when two letters picked without replacement from {q: 1, y: 4, k: 1, g: 6, c: 4}?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2446 + 2474. Put y, 0.08, -2, -0.3 in ascending order.\nAnswer: -2, -0.3, 0.08, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 1 = 4*b. Let i(l) = 2*l - 1. Let u be i(b). Let s(f) = -5*f - 4. What is the tens digit of s(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -88 - -133. Suppose 0 = 9*k - 4*k + d. Calculate the smallest common multiple of 9\/(k\/(-2)) + 4 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-3017375.\nAnswer: -12069500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -6*f**2 + 12*f + 13. Let z(x) = -5*x**2 + 11*x + 12. Let h(y) = -4*i(y) + 5*z(y). Let b be h(8). Sort -4, b, -1.\nAnswer: -4, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001189 to 7 dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -9*f + 5*f - 8, -12 = -3*f + 3*y. Let i be 1\/(-4)*f*-44. What is the units digit of 31\/4*(i - 7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*o**4 - 2*o**2 + 0*o**4 - 9*o**4 - 5*o**3 + 3*o**2 to the form i*o**4 + x*o**2 + t*o**3 + f + d*o and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 11.03 and 1.018.\nAnswer: 12.048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*u - 35 = -47 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**3 - 2*y**3 - 2*y**3 + (0 + 1 - 2)*(-835*y**3 - 447*y**3 + 120*y**3).\nAnswer: 1161*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 9412\/362 + 2*-14\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**4 + 2*y**4 - 7*y**4)*(-3 + 0 + 5)*((5 - 4 + 0)*(2*y + 4 - 4) + 4*y + 2*y - 5*y - 4*y + 8*y + 8*y).\nAnswer: -60*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 7035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 54. Let g = -11428 - -11460. What is the remainder when l is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c + 24. Suppose 82 + 58 = 10*h. Let i be a(h). Calculate the greatest common factor of 70 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 30 = -w - 0*w, -2*w - o + 53 = 0. Suppose 3*r - 36 = w. What is the first derivative of 3 - 21*h + 4*h**4 + r*h wrt h?\nAnswer: 16*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 11*g**2 + 39*g - 218. What is i(-5)?\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-96 - 53 - 29)*(-5*b + 2*b + 5*b) to d + l*b and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -532 + 2083\/4. What is the common denominator of -101\/10 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28455751?\nAnswer: 383, 74297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 23, 52, 81, 110, 139, 168?\n\"Answer: 29*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*z - 38*z = -2*u - 28, 3*z + 56 = -5*u. Let i(y) = -y**2 - 7*y + 28. Give i(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/18)\/(2\/(-9)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17206 + 749*f + 17206 + (-1 - f + 1)*(-5 + 2 + 4).\nAnswer: 748*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 PM and 9:08 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -6*h**3 - 1463*h**2 - 9719*h - 254. Calculate d(-237).\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -3*d - 2*t - 10, -d = t. Let p = 37\/5 + -7. Suppose -58*s + 57*s + 3*g - 16 = 0, -5*g + 23 = 2*s. Which is the nearest to p? (a) s (b) d (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4949 - 54442\/11. Which is the closest to -0.06? (a) i (b) 2\/11 (c) 1 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -404972 = -404143?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of 1353*m**2\/2 + 908. Let y(j) = 33*j. Calculate -4*a(p) + 165*y(p).\nAnswer: 33*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -46a + -14095?\nAnswer: -14543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cic when three letters picked without replacement from cicc?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*f - 39*f = -4*f - 5*f + 576 for f.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, f: 2, p: 1, o: 1, u: 2, w: 2}. What is prob of sequence ufp?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -66041, -133833, -201625, -269417, -337209, -405001?\n\"Answer: -67792*l + 1751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*l**3 - 5*l**4 + 8*l**3 - 2 + 2 - l**4 + (-2*l**3 + 0*l**3 + l**3)*(-2*l + 3*l + 0*l) + 3*l - 2*l**4 - 3*l - 3*l**4 - 2*l**4 + 3*l**4.\nAnswer: -11*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 + i**3 - 2*i**3)*(1032 + 466 - 75 + 1396 + 145).\nAnswer: -2964*i**3 + 8892","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -1. Let a be (2\/4)\/((-5)\/(-50)). Solve -a*r - 17 - 8 = l for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -146, -196, -112, 136, 578, 1244, 2164, 3368?\nAnswer: 4886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64 and 92?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9.08 + -9. Let a be 352\/(-680) + 2\/5. Let h(f) = -f**3 + 10*f**2 + 11*f + 3. Let x be h(11). What is the second smallest value in x, d, a?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -310*z + 227 + 171 - 3498 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -134297*l**3 + 282302.\nAnswer: -402891*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 695066 and -0.196.\nAnswer: -136232.936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*h + 75*h = 127288. Calculate the remainder when h is divided by 164.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*-2)\/(107\/((-535)\/170)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -5, -6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*q**5 + 23\/3*q**4 + 361\/3*q**2 + 100\/3 - 163\/3*q**3 - 320\/3*q.\nAnswer: -(q - 10)**2*(q - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 53 and 106.9752?\nAnswer: 53.9752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 111451 (base 6) in base 5?\nAnswer: 300323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 8 = -8*v. Let o be 1*(-2 - -2)\/v. Suppose c + o*c = 48. Calculate the highest common factor of c and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -53 + 57. What is the second derivative of -p - 6079*m + 2 + 6129*m + 34*m**5 wrt m?\nAnswer: 680*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -126414, -126396, -126344, -126240, -126066, -125804, -125436?\n\"Answer: 3*l**3 - l**2 - 126416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5485*m*u**3 - 9*m*u**2 - 182*m wrt u.\nAnswer: 32910*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1737, 13514, 45227, 106764, 208013?\n\"Answer: 1648*y**3 + 80*y**2 + y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 388977 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 335537 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 k so that -k**3\/3 + 13462*k**2\/3 + 311147*k + 893046 = 0.\nAnswer: -66, -3, 13531","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -437898 or -437875?\nAnswer: -437875","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 947*2.626\nAnswer: 2486.822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 20275 (b) -1\/5 (c) -1\/45 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a milligram in micrograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*(v\/(v\/v**(-15\/4)*v))\/v*v*v**30 assuming v is positive.\nAnswer: v**(105\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -l**3 + 9*l**2\/2 - 5*l. Let t be m(-6). Let a = t + -31. Solve 3*u - 7 - a = 4*n, 2*n = -3*u + 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.011 or 96329?\nAnswer: 96329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 3*v**2 + 10*v + 77. Let o be m(6). Solve -80 = -o*d + 7 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19\/3 - 6. Let l = 2470 - 2476. Let s be (3\/(-4))\/(3\/(-1)). Put g, 2\/9, s, l in decreasing order.\nAnswer: g, s, 2\/9, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*b = 8, 3*b + 8 = 5*n - 4. Let s be (0 - 2 - -1)*n. Suppose 0 = 4*a + 3*o - 44, -4*a - o - 9 + 45 = s. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10148 and 2.\nAnswer: 10148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**3 + 70*c**2 - 136*c - 21. Calculate g(-37).\nAnswer: -465","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.39841 + -1.11449. Round r to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.2 - 70055.4879631.\nAnswer: -70054.2879631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -z**6\/3 + 4*z**5 - 18*z**4 + 36*z**3 - 27*z**2 + 2. Factor a(k).\nAnswer: -2*k*(k - 3)**3*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 302 = -2*b. Suppose 409 = 5*t - b. What is the greatest common factor of t and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/4, 10, -90.8, 2, -22\/9, 3, 0.4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -45 - -90. Suppose -187 = -4*s + a. Calculate the greatest common divisor of 29 and s.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 178.\nAnswer: -3\/178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40568259 + 40568259 - 68*u.\nAnswer: -68*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 9.013839 milliseconds?\nAnswer: 9013839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, n: 3, e: 5, f: 1, y: 1}. What is prob of picking 2 n and 1 i?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 13 in descending order.\nAnswer: 13, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 103065 and -3697.\nAnswer: 99368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1326.258*-1.\nAnswer: -1326.258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 3784?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*a**4*h**2 - 2*a**4 + 12*a**3*h**2 + 3*a**2*h - 108*a*h**2 wrt a.\nAnswer: -264*a*h**2 - 48*a + 72*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 144*h**2 + 112*h + 4763. What is g(145)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 3*l - 1, -4*l + 0 = -x - 5. Let j(c) = -12*c**3 - c**2 - c - 1. What is the tens digit of j(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 9) to base 16\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-21*u + 258 - 258)*(-3 + 1 - 3*u**2 + 0) in the form z*u**2 + t*u**3 + v + c*u and give t.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 12:44 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 11*q**2 + 12*q + 1. Let l be n(-12). Let u be 2*((-9)\/3 + 5). Solve u*z - l = 11 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -5*q**2 + 7*q - 7. Calculate r(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13052?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11100 (base 2) to base 7.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 2*y + 8 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 17, 23, -5, -6 in descending order.\nAnswer: 23, 17, 2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3 + 5*y + y**2 - 4*y - y. Suppose a - 2 - 1 = 0, -2*z - 2*a = 4. Is 22 a factor of t(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((sqrt(75)\/sqrt(5))\/sqrt(5) + sqrt(81)\/sqrt(3))**2 - (sqrt(135)\/(sqrt(40)\/sqrt(8)))**2).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 i when two letters picked without replacement from kjmif.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 34 = -x + 3*q, 3*x - 3*q - 105 = 0. Is 6 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 6818169.\nAnswer: -1363633.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3201013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 841356570.\nAnswer: 2, 3, 5, 28045219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -j - p + 29, 4*j - 107 = -3*p. Let a = j + -15. Calculate the smallest common multiple of a and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25406360669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ewe when three letters picked without replacement from {w: 2, e: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 - 2*q. Let v(k) = -k**3 + 4*k**2 - 7*k. Let a = -7 - -5. Calculate a*v(d) + 7*x(d).\nAnswer: 2*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 551309.4ng?\nAnswer: 0.0000005513094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + u + 17. What is k(6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -10253.\nAnswer: 5\/10253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1245254444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2558*a + 5750. Calculate q(2).\nAnswer: 634","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-2) + (-560)\/282. Let v = u + -5225\/564. Find the common denominator of v and (25\/160)\/(5\/(-180)) - -4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-8) + 14\/(-56). Suppose -4*p - 12 = -4*x, 4*x - 2*p - 17 + 1 = i. Which is the biggest value? (a) 0 (b) x (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in p**4\/9 + 479*p**3 - 143365*p**2 + 90071825*p\/9 + 161051500\/3 = 0?\nAnswer: -4596, -5, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -1\/3 (c) 3\/2 (d) -3 (e) 13\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 216 - 216. Which is the closest to k? (a) -67 (b) -0.4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153*m**3 - 6*m + 6*m + m**2 + 0*m**2.\nAnswer: -153*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 768 and 3968.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 (base 6) in base 12?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-120)\/(-27) - 4)*116\/((-138736)\/234)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3 + 57843*x**2 + 57834*x - 115680.\nAnswer: 3*(x - 1)*(x + 2)*(x + 19280)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 25191821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 102*l**5*u**3 + 35*l**5*u - 7812*l*u + 3*u**3 wrt l?\nAnswer: 2040*l**3*u**3 + 700*l**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-18)\/99)\/((-3)\/(3 - 0)). What is the nearest to -2 in -0.5, x, 4.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183*a - 44*a - 1184 = -16*a - 63*a for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -209 less than or equal to 124?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2479408*l**3 + 1928*l**2 - 1928. Let o(f) = -3856*f**3 - 3*f**2 + 3. What is -3*c(b) - 1928*o(b)?\nAnswer: -3856*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -4*y - 11. Let d(g) = -3*g - 10. Let s(t) = 2*a(t) - 3*d(t). Let i be s(-9). Let q = 37\/198 + -5\/18. Which is greater: i or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2208 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3390384 divided by -91632?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12106271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -2. Let i be (k - 3)\/(2\/(-6)). Suppose i*c = -3 + 15. Solve 4*r = 5*b - 25, 0 = c*b + b - 5*r - 30 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/3 (b) 0.04 (c) 29 (d) 0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 4 + 3 + -8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 105*t**2 - 108*t**2 + 3*t - 3*t. Let y(f) be the third derivative of -f**4\/24 - 14*f**2. Determine a(y(v)).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.01 (b) 1007 (c) 5 (d) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 1 + (0 - -2) - (-889 - 5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of x**5\/20 + 29*x**4\/2 + 3365*x**3\/2 - 8*x**2 - 5*x. Let d(v) = 1. Let u(y) = -3*d(y) + g(y). Factor u(q).\nAnswer: 3*(q + 58)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/6)\/(12\/(-48))*-1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + -2. Let n = 13 + q. Let k = -9 - -21. What is the remainder when k is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*p + 3008593 = 21*p - 7*k, -5*p + 3008597 = -3*k. Round p to the nearest one thousand.\nAnswer: 602000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 48 - 41. Let f(h) = 2*h**2. Let w be f(-1). Calculate the remainder when 0\/(1 + w) - -18 is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9997.804595 - 2\nAnswer: -9999.804595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7284 - -7274. What is the nearest to -8 in 0.4, -5, p, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 16, -0.01, 11, 0?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1011 - -10?\nAnswer: -1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 30 + -453746?\nAnswer: -453716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f*g**3*u**2 + 2661*f*g**3*u - 58*f*g*u**2 - 2*f*u + g**4*u + 3*g**2*u - 3*g*u**2 wrt g?\nAnswer: 12*f*u**2 + 15966*f*u + 24*g*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/30 and -65\/342.\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7, 117, 225, 331, 435, 537?\n\"Answer: -y**2 + 113*y - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 2*z = 80 - 99, -12*y - 4*z = -48 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of v**10\/7560 - v**6\/180 + v**4\/3 + 3*v. Let l(c) be the third derivative of y(c). Find 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: Is 204732 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 6*z - 45. Suppose 0 = -a + 6*a - 5, -z*r = 5*a - 25. Let m be (-1)\/(-1)*(-21)\/21*-3. Solve -r*c = -c + m for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 12:43 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -8*n + 3*n. Let j be 0\/(n*(5 - 4)). Suppose -3*y - 77 + 218 = j. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1073 + 5583. Calculate the smallest common multiple of 12 and k.\nAnswer: 19968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -35842*x - 251298. Give s(-7).\nAnswer: -404","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -71 + 84. Suppose x = -3*x + 32. Suppose -n*s + x*s = -225. Calculate the highest common divisor of 18 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 u, and 1 d when three letters picked without replacement from dcdddccwcwdccdcddud.\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 703124?\nAnswer: 2, 175781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/14*(-2)\/4)\/((-60)\/(-420)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 0*g + 110 = -4*g, -3*g = -5*o + 268. Let j = -91 + o. Let h = 17 - j. What are the prime factors of h?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**3 - 2*i**3 + 2*i**3 + i**3 + i**3 + 0*i**3 + (-5*i + 5*i - i**2)*(-i - 5*i + 3*i).\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 4 + 2. Suppose -5*s + v*q = -65, -2*s - 3*s + q + 75 = 0. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c - 7. Let r be n(-10). Suppose 3*z = -3*f + 132, 8*z - 2*f = r*z + 248. Suppose 8 = -2*s + z. Calculate the lowest common multiple of 18 and s.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63 + -106 + 4 + 1 + 9 - -2\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 727.305021 - 727.3. What is h rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 4*p. Suppose -7*z + 5*b + 7 = -3*z, p = -2*z - 2*b + 8. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(85)*-1)\/((sqrt(20)\/sqrt(2))\/sqrt(2) + sqrt(5)).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 129*n**2 - 12*n - 6. Let y(w) = 128*w**2 - 13*w - 5. Let a = -459 - -452. Let x(u) = a*y(u) + 6*h(u). What is the second derivative of x(j) wrt j?\nAnswer: -244","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(28) + 6*(sqrt(7) + 0).\nAnswer: 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 3:58 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-196))\/((-5)\/(175\/(-10)))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of z**2 - z + 3. Give p(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.88 - -0.12. Let l = -12.6 - -12.9. Which is the second biggest value? (a) l (b) h (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 5*u = 2*g - 21, -2*u = 3*g + 49. Let q = 161\/9 + 65\/18. What is the common denominator of (21\/6 + -4)*u and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/9 - 10\/(-6). Suppose 6 = -4*c - 7*j + h*j, 0 = 4*j + 8. What is the highest common factor of 11 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9784329 is divided by 124?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000029931541 rounded to six dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 97, 46\/3, -0.5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 18 - 2 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a = -4*v - 5*a + 14, -2*a - 5 = -v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3144 or 3149?\nAnswer: 3144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -457*j = -745*j + 982*j + 45804 for j.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - i = 0. Solve i = -3*d + 6 - 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*c = 37*c + x + 4704, 0 = -2*c + 2*x + 3132. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 259.87578 months?\nAnswer: 2.1656315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12578082?\nAnswer: 2, 3, 11, 190577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/2)\/d)**(-37)*d**(-15\/4)*d*d**9\/d assuming d is positive.\nAnswer: d**(95\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = r + 3*o - 21, 3*o = -r + 5. Let c = r - -154. List the prime factors of c.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/133, 5, 0, 2 in increasing order.\nAnswer: 0, 1\/133, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 2\/11, 1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1314*f + 1254 - 162 = 1286*f for f.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -19037, -37956, -56873, -75788, -94701, -113612?\n\"Answer: j**2 - 18922*j - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from {n: 14, d: 4}.\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 251 = 4*h - 517, 4*h - 762 = t. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**2 + 8*n - 6. Determine f(-7).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -23? (a) 0 (b) -1\/3 (c) 1.5 (d) 45 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*p + 0)*(-146 + 203 + 2*p - 120).\nAnswer: 4*p**2 - 126*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 145, 549, 1189, 2059, 3153?\n\"Answer: -v**3 + 124*v**2 + 39*v - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 85076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -34\/280287 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**3 - 7*s**2 - 6*s + 18. What is q(6)?\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4551125 less than -28829064?\nAnswer: -24277939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 54 or 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*b = -76*b + 145. Suppose w = b*a + 1998, 31*w + 4*a + 5972 = 34*w. What are the prime factors of w?\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 253 - -111?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l**3 + l + 1. Suppose 2*c + 1 = u, -u = -c - 0*c. Let g be s(u). Suppose g - 9 = -w. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21076 divided by 4.\nAnswer: 5269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -6*r**3 - r**2 + 10*r + 4. Let s(i) = 3*i**3 + i**2 - 5*i - 2. Calculate -2*b(y) - 5*s(y).\nAnswer: -3*y**3 - 3*y**2 + 5*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 + 561. Is q a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3607*y**2 - 8*y - 15. Let m be h(-5). What is m rounded to the nearest 1000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 8*o - 4. List the prime factors of s(6).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (2 + (4 - 4))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2150, 4301, 6452, 8603, 10754, 12905?\nAnswer: 15056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 12. Suppose -3*p + 4*v = 10 + 2, -12 = 3*p + t*v. Is ((-35)\/2)\/(2\/p) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**3 + 140*a**2 - 8*a + 9513. What is w(-71)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of k**6\/120 - k**5\/5 - 7*k**4\/12 + 10*k**3\/3 + 556*k**2. Calculate v(13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 163767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -189*i - 145. Let r(n) = 377*n + 293. Let q(w) = 5*j(w) + 2*r(w). What is the first derivative of q(d) wrt d?\nAnswer: -191","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1302.405953 rounded to zero decimal places?\nAnswer: -1302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*p + 125 = 46*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 965aa5?\nAnswer: 965aa2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/192 and 21\/601120.\nAnswer: 3606720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1952\/6832 + (-66)\/(-20)*(-2)\/(-21)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 36 = -z, 150 = -4*z + 3*a - 5*a. Let j = 24 + z. Let c = -8 - j. Solve -2*r = -2*x + 8, -2*x + c = x for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-8) + -2)*-8. Let z be ((-4)\/18)\/((-3)\/v). Let p be (-3 - 84\/(-27))*-2. What is the nearest to -2 in p, 0, z?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of d**8\/448 + d**7\/280 - d**6\/160 - d**5\/80 + 5*d**2. Let n(k) = 0. Calculate k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 1159*d**2 - 2587. Let a(q) = 2*q**2. Give f(a(h)).\nAnswer: 4636*h**4 - 2587","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2202)\/(-168) + ((-22)\/(-55))\/((-308)\/(-110))?\nAnswer: 53\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 4*w + 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*d - 282*c + 280*c, 5*d + 2*c = 64. Sort -1\/2, d, -1\/3 in decreasing order.\nAnswer: d, -1\/3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssllpsssssspsslsssss. What is prob of sequence spp?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one twentieth of a kilogram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -68*x**3 - 3*x**2 + x + 1. Let g be v(1). Let s = g - -120. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.0807 + -0.0807. Let z = 0.8 - -0.2. Let x = z - 6. What is the second smallest value in t, x, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of l**6\/60 - l**5\/12 + l**4\/8 - 2*l**3\/3 - 4*l**2. What is the tens digit of d(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-5)\/c*c\/(c\/(c*c**(2\/9)))*c\/(c\/c**(1\/3))*c**(-2\/9) assuming c is positive.\nAnswer: c**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4*g + 19 - 1 = 0, -5*r + g = -5. Suppose 13739408 = r*q - 9260592. Round q to the nearest one million.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37 + 160. Calculate the remainder when s is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/45*3\/2. Let j = 3 + -15\/4. What is the closest to j in -0.2, -0.3, t?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wxxivwmxmiimmi.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 4) + 0 + 14. Suppose -63 = -4*h - 0*h - 5*x, 5*x - r = -h. Let g be (-5)\/(10\/(-12)) + -1. Solve b = -2*o - 7 - 2, g*b + h = 4*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45474\/(-1749) + (9 - 0).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (14 + 1 + 29)*(-4*w**4 + 2*w**4 + 0*w**4) in the form q*w**2 + v*w**3 + a*w**4 + f + u*w and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9050 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qvqqqqqqqqqqqqqqqqqq. Give prob of sequence qvqq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*d**3*y**3 + 34325*d**2*y**3 + 12*d*y**2 + 5*d + 17*y**3 + 1 wrt d.\nAnswer: 18*d*y**3 + 68650*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 4*z**2 - 4*z - 6. Let d = -10 - -14. Let f be ((-12)\/1)\/(3\/(-2)). Suppose f = -3*t - d. Give j(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27271131163 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 99414666 to the nearest integer?\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 116 * -14.\nAnswer: -1624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 84 = -u. Let p = 240 - 128. What is the greatest common divisor of u and p?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 9:10 PM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.033 at least as big as -1\/101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/18)\/(6\/8). Let h = 1119 - 1118.9. What is the second biggest value in y, 9, h?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6990983 is divided by 72.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 d, and 1 b when three letters picked without replacement from ybbaizd?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19292369?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -4753682?\nAnswer: 23768410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 143032559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**2 + n**2 - 2*n**2 + (2 - 2 + 2*n)*(0 + 0 + n) + 0 + 0 + n**2 - n**2 + 4*n**2 - n**2 + n**2 - 3 + 3)*(-4*n + 6*n - n) + 2*n**3 - 5*n**3 + 6*n**3.\nAnswer: 11*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -144985 by 5.\nAnswer: -28997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6848 + 10737. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 1:46 AM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-26)\/(-8) - ((-92)\/16 + 6). Suppose 2*n - 6*n + f*r = -43, 3*n + r - 42 = 0. Find the second derivative of -35*s - n*s + 13*s - 5*s**5 wrt s.\nAnswer: -100*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/4 - (-92)\/16. Suppose w + 0*z - 32 = -z, -5*w - 3*z = -168. Suppose 0 = 7*p - w - b. Is p a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m**3 - 229*m**2 + 2370*m - 146. Give w(64).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2082020\/6 + 48\/(-144) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.743235 to 1 dp.\nAnswer: -6.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3 = -y, 15*y - 10*y = -5*u + 5. Factor y*v**2 + 0 - 1\/3*v**4 + 0*v + 1\/3*v**3.\nAnswer: -v**3*(v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 - 4*y + 4. Let p be j(3). Which is smaller: p or -1\/33?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 5 - 2*v)*(27*v**2 - 28*v**2 + 67*v**2) to p*v**3 + u*v + m + x*v**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/297 and 15\/121?\nAnswer: 3267","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 53 - 31. Suppose 4*z = -3*j + 49 - 17, 2*j + 3*z = y. Find k, given that 9*k**4 - 6*k**4 + 2*k**5 + 5*k**4 + 12*k**3 + 2*k + j*k**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c\/c**(-4\/3))**27\/(c\/c**4*c*c**(-3)))**(-20\/11))**(-21) assuming c is positive.\nAnswer: c**(39900\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 0*f + 65 = 0. Is (f\/2)\/(1\/(-34)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16260 to the nearest 1000.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 42.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eehcneenxezeex. What is prob of picking 1 e, 1 z, and 1 x?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2632078*n + 26 = 2632076*n - 4*b, -3*n + 3 = -b for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - 3*n + 6. Let v be i(2). Find the common denominator of -53\/3 and (1030\/(-300))\/(v\/10).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 98*f**2*l + f*i + 3311*f*l**2 - 24*i*l**2 + 2*i - l**2 - 14854 wrt f.\nAnswer: 196*f*l + i + 3311*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*k - 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6842327 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 100011?\nAnswer: -100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 136*g**2 + 507*g**2 + 19*g**3 - 65*g**3 + 2*g**3 - 6*g**6 + 14*g**3 wrt g.\nAnswer: -720*g**3 - 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -13 + -2 - (0 + 1). What is the common denominator of (-10)\/c*114\/9 and (-240)\/(-3328)*(-5)\/(-30)*88?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a week in hours?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-64)\/(-36) + (-2)\/(-9). Find the second derivative of -4*d**2 + 5*d**u + 10*d - 2*d - 3*d wrt d.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c + -526?\nAnswer: -534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 36683.62ml in litres?\nAnswer: 36.68362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*g - 3*n, 4*g = -3*n + n. Let i(w) = 18*w**2 + 2*w - 1. Is i(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from xxxxxx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 680 - -237?\nAnswer: 917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -12, -0.1, 1\/1095, -5, 2\/3, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from msmdmmuml. What is prob of picking 1 u, 1 m, and 1 l?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 117*a**3 - 8*a**2 - 8. Suppose -s = 18*w + 75, 4*s - 9*s + 3*w - 3 = 0. Let c(d) = -39*d**3 + 3*d**2 + 3. Determine s*j(u) - 8*c(u).\nAnswer: -39*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567)*-5 + (sqrt(7) - (sqrt(847) - (2 + sqrt(847)) - sqrt(847))))**2.\nAnswer: -132*sqrt(7) + 7627","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 8, x: 3, v: 7, k: 2}. Give prob of picking 2 v.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g**2 - 4*g + 1. Suppose 5*y - 29 = 71. Let k = 27 + -18. Suppose 17*q + k = y*q. Determine f(q).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*f**5 + 2*f**3*q + 35*f**2*q*s + 26*f*q*s - 118*q*s wrt f?\nAnswer: -140*f**3 + 12*f*q + 70*q*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2)\/3 + 3690\/(-216) and -123\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**(-1))**(-9))**(-3\/17) assuming g is positive.\nAnswer: g**(27\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*3\/(-12)*2. What is the closest to -0.1 in q, -13, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 2*y - 32 = -3*g, 0 = 4*g - 5*y - 38. Let l(n) = -3*n - 4*n - 4 + n**2 - 4*n. Let f be l(g). Solve -d = -b, f*b + 9 = 3*b + 2*d for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -196, -195, -192, -187, -180, -171?\n\"Answer: q**2 - 2*q - 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -108\/11 + 470\/77. Let j = 143 + -321. Find the common denominator of (j*(-2)\/(-20))\/(-2) and z.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 863394.2 centimeters?\nAnswer: 8.633942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -90*u**2 - 3. Let h(n) = n. What is h(t(c))?\nAnswer: -90*c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.5 and -1420?\nAnswer: 1419.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -3.94. Let a = x - -1.94. What is the closest to 3 in -5, 5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 9:19 PM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 360 divide 772737688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1374 + 1376. Solve -4*d + 4*j + 20 = 0, -2*j + 0 + a = d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9169251?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 11304 = 15*h. Let v = -191 - h. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/132 + -101\/264. Let d = -50 - -51. Is z less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7 - -3) + 25 + -2. Suppose -2*k = -0*k - 10. Solve 0 = k*r - f - 1 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -5*y - 68. Let u be q(-14). Solve 5*t = u*t + 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -76 - 32\/160*-295.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1117 or -12291\/11?\nAnswer: -1117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 824711?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 0 (c) 3\/4 (d) 6 (e) -154\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, r: 1, i: 4, a: 7, k: 3}. What is prob of sequence kk?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -u**4\/4 + 398*u**3 - 156804*u**2 - 1273600*u - 2560000 = 0.\nAnswer: -4, 800","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -202200211101 (base 3) in base 5?\nAnswer: -101014021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 34 + 23 = 0. Suppose -27*f + 1491 = -6*f. What is the remainder when f is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vfsm when four letters picked without replacement from vvvvvvvvumvvllsvvlf?\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8028028 by 193.\nAnswer: -41596","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -213 + -57. Let f = 272 + i. Which is the closest to f? (a) 3 (b) -5\/3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16145648*l**2 - 15947307*l?\nAnswer: -32291296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7.6 in 4, 2\/15, 0.05?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 21*t**3 + 4*t**2 + 4*t - 16. Let d(j) = 62*j**3 + 11*j**2 + 11*j - 48. Let h(n) = 11*a(n) - 4*d(n). What is the derivative of h(l) wrt l?\nAnswer: -51*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b + 0*b**3 - 12*b**3 + 10*b**3 - 2 - 2*b**2 - 2*b**4 + 0*b**2 to the form d + o*b**3 + r*b**4 + t*b**2 + k*b and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -3812238 < -49559090\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.62 + -1.78. What is the nearest to m in 3, 1\/2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07 - 0.3485.\nAnswer: -0.4185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56) + sqrt(168)\/sqrt(48))\/(-3*sqrt(392)).\nAnswer: -5*sqrt(7)\/84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + w**2 - 4. Let b be f(0). Let q(r) = -r**2 - 3*r + 5. Let t be q(b). Let h = 88 - 970\/11. Which is greater: t or h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 10 + 5. Suppose -p*w - 70 = -210. Is 14 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 4*q - 8, 2*d - 4*q + 4 - 14 = 0. Suppose -55 = -2*j - d*j + 5*o, 5*j + o = 25. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28 - 20) + 3 + -5 - 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -2*c**3 + 11704*c**2 - 17028936*c - 275467392 = 0.\nAnswer: -16, 2934","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = -7*q + 10 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8b0 (base 14) to base 5.\nAnswer: 23342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(833)*1.\nAnswer: -1 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(1008) - -1*(sqrt(7) + -4).\nAnswer: -7 + 13*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -534?\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -3*x - 5. Let f be 1\/(4\/(9 + x)). Put -0.2, f, -0.5 in increasing order.\nAnswer: -0.5, -0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -9. Suppose -d*z - 4 = -54. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3.8, 2, 4, -1 in decreasing order.\nAnswer: 4, 3.8, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*x, -4*y + 0*y + 10314 = -5*x + 10333 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 533\/905 - -2\/181. Let c = -449\/3 + 151. Let j = 2.4 - -0.6. What is the third biggest value in j, l, c?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3094 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and (-58)\/(-8) - 7\/28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*r - 45 = -66 + 571 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-30)\/21*24*-7. Let y = 390 - 185. Let f = y + -175. Calculate the greatest common divisor of t and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-260519)\/78 + 7*10\/455. Let v(k) = 93*k**2 - 3*k - 8. Let b be v(-6). Let f = b + t. What is the common denominator of f and 57\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hkk when three letters picked without replacement from {y: 3, f: 1, k: 2, h: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-5*(sqrt(102) - sqrt(102)*-3) + sqrt(102) + sqrt(102))\/sqrt(6) + (sqrt(204) + (sqrt(204) - (sqrt(204)*3 + sqrt(204))*5 - sqrt(204)))\/sqrt(12).\nAnswer: -37*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8108872927 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 3*f + 32. Suppose 2*p + 2*p = f. Suppose 0*y + y + p = -a, -2*a = 10. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 147 = h, -5*h + h + 496 = 3*i. What is the remainder when h is divided by (44\/1)\/(7 + -8 - -2)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 301 - 345 = 11*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of 25*w**4\/4 - 4*w**3\/3 + 385*w**2 - 489. Find the second derivative of b(u) wrt u.\nAnswer: 150*u - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -222148*v + 222153*v + 22, 0 = -q - 5*v - 7 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 91 (b) -2 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -3. Let s = -11 + o. Let q = s - -7. Is q less than or equal to -0.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*f + 12*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -d + 25. Calculate the highest common divisor of 10 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -1, 547 in descending order.\nAnswer: 547, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 0.9 (b) 4\/7 (c) -4 (d) 9 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1*(-5 + (sqrt(76) + -2)*-6 + 4*((sqrt(76)*2 - sqrt(76)) + 4))**2)*-3.\nAnswer: -2493 + 552*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7\/((-70)\/(-30))*227 and 9.\nAnswer: 2043","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.7534 - -0.201.\nAnswer: -2.5524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2921\/(-10))\/23 + 16. Put 0.22, -5, h in decreasing order.\nAnswer: h, 0.22, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3*d**3 + 5*d**2 + 5. Let o(f) = 2*f**2 - 37 + f**3 + 0*f + 120 - 81 + 0*f. Give 11*o(w) - 4*y(w).\nAnswer: -w**3 + 2*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 183 and 627?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 55b33 (base 14) in base 16?\nAnswer: 32c81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30077623 and 2075?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 495513169 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -40fce?\nAnswer: -40fcb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i + 190. Let u(d) = -5*d - 561. Determine -17*t(n) - 6*u(n).\nAnswer: -4*n + 136","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-18))\/((-4)\/36)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of h**4\/60 + 341*h**3\/30 - 2*h - 366. Factor l(t).\nAnswer: t*(t + 341)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-6))**(3\/5)*(d*(d\/(d\/(d**1*d)))\/d)**6 assuming d is positive.\nAnswer: d**(42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 912 by -76.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/8 - 12175\/(-3896). What is the closest to 0.015 in -1, i, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18586110?\nAnswer: 2, 3, 5, 619537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1632222361?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2249, 4606, 11007, 23474, 44029, 74694, 117491, 174442?\nAnswer: 247569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 236 - 204. Let q be 23\/46 - 2\/(w\/(-6)). Solve -q*a - 2*k = 12, 4*a + 2*k - 3*k + 4 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q**13*q*q\/((q\/(q*q**(2\/79)))\/q*q))**(-21\/4))**(-45) assuming q is positive.\nAnswer: q**(1271025\/316)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v + 1 - 5 + 1 + 8*v**2 - 7*v**2. Let t be s(2). Suppose 7931 - 2916 = t*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99377.\nAnswer: 99377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2 = 4. Suppose h + 9 = p*v, -2*v = -2*h - 28 + 12. Let a = -5 - h. Solve -t - a*t = k + 8, -4*k = 3*t + 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75802 and 302.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cscccscscccccccccs. Give prob of picking 2 s and 2 c.\nAnswer: 91\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 2*k**2 + 8*k. Let x be u(4). Suppose i + 26 - 22 = x. What is the closest to -0.1 in i, 0.4, 2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12170 + -12164. Solve f = 3*s + 1, -f + 4*s - a = -9 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (28\/126)\/(1\/9). Let k(d) = 0*d**3 + 4*d**3 - 12*d**s - 3*d**3 - 3*d**2. Let q be k(15). Which is smaller: 1\/9 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 730956 at least 730866?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40362 - 220540 = -2*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 63*y**2 - 1. Suppose -4*f = -4*a, -2*f - 4*a = 2 + 4. What is the units digit of g(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1202*q**3 + 1202*q**3 - 203*q**5 + (q**2 - 4*q**2 + 2*q**2)*(0*q**3 + 3*q**3 - 4*q**3).\nAnswer: -202*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + 81. Let z = -25 + 55. Calculate the remainder when r is divided by z.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - (2 - (-1 - -1)). Suppose k*b = b. Let f be b\/((-1 - 1)\/(-2)). Round f to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 20 = 3*h, 0 = -3*d - h - 4*h + 14. Let z be (2\/(-6))\/(d\/6). Find the first derivative of -4 + 4 + z + s**4 wrt s.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8\/3*u - 2\/3*u**3 + 0*u**2 + 0 = 0. What is u?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.168 - -0.068. Which is the third biggest value? (a) -2\/17 (b) z (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 5\/1908778?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 8*a**2 - 12*a - 15. Let x be f(5). Is -1\/21 at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -505*y - 398 + 4943 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - 8*d - 1. What is n(-4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 11*n**2 + 6. Let d be f(-11). Let l = d - 5. Let j be l + (-6)\/(-4)*2. Calculate the highest common factor of j and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3910 + 3910.3. What is the third biggest value in -50, -0.2, 40, j?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 7:39 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + -4. Let a = 31 - 16. Let g = c + a. Is g equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -10*m**2 - 61*m - 1. Let z be d(-6). Suppose 2*s = 2*r - 75 - 17, 4*r + 3*s = 163. Suppose z*h - r - 302 = 0. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -230, -229, -228, -227, -226, -225?\nAnswer: -224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2447510 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -3*u. Let v = -0.07 - -0.77. Let n = v + 0.3. What is the closest to 2\/3 in n, u, 2\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {x: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 702311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -19.6 times 658611\nAnswer: -12908775.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 12084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*n + 64 = 3*m + 62*n, 4*m - 67 = -n. Calculate the remainder when 1591 is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(99) - (sqrt(99) - sqrt(99)*-2)*5) + sqrt(99)*-2*2)*2)\/((6*(sqrt(108)*1 + sqrt(108)))\/((sqrt(192)\/sqrt(4))\/sqrt(4))).\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 25120.2742 and 11365.5.\nAnswer: 36485.7742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nuuxuxxuoxwsooouuuo. What is prob of picking 1 u, 1 s, and 1 x?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 - 0.4. Let j = -21.4 + 17.16. Let i = -3.84 - j. What is the fourth smallest value in l, i, -2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/3180 + 43813\/1060. Let u(d) = d**2 - 12*d + 10. Let y be u(12). What is n in -8\/3 - y*n**4 - m*n**3 + 100\/3*n**5 + 38\/3*n**2 + 8*n = 0?\nAnswer: -1, -1\/2, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 6262.138 days?\nAnswer: 541048723200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.4 + -0.5. Is 9\/7 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/12 + -2)\/((-4)\/(-6)). Let g be (t*2\/16)\/(2\/(-8)). Which is smaller: g or 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1030012123 (base 4) to base 2.\nAnswer: -1001100000110011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 17*h**3 - 29*h**2 - 3*h + 9. Let b(a) = -8*a**3 + 15*a**2 + a - 4. Give -9*b(z) - 4*d(z).\nAnswer: 4*z**3 - 19*z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 340 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f. Let x(r) = 42341696*r. What is h(x(n))?\nAnswer: 84683392*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49369 is divided by 11816.\nAnswer: 2105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/613 in -0.2, -0.1149, -0.05, 1, -0.3?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = 5*h, 15*m - 5 = -5*h + 12*m for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 323532311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d - 3. Let k be u(5). Let n be -2 + (-1 - -109)\/(-3). Let g be (n\/(-10) - 3)*(0 - -10). Solve -k*h - y = g, -1 = -0*h - 3*h + 5*y for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k + 9. Let u be f(-5). Let r(c) = 4*c**2 + 7*c + 4. Let h(q) = 2*q**2 + 3*q + 2. Calculate u*r(y) - 9*h(y).\nAnswer: -2*y**2 + y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (5 - (3 + 177\/57))\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 11*d**3 - d**2 + 4*d - 2. Give u(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2 and -0.01949.\nAnswer: -0.21949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -73*a**4 + 20040*a**3 + 224867*a**2 + 7*a wrt a.\nAnswer: -1752*a + 120240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -12, -12, -2, 24, 72, 148?\n\"Answer: g**3 - g**2 - 4*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 41*m**2 + 5*m - 24. Calculate o(41).\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 1 = -m. Let v = 566042 + -566000. Solve -m*y - 45 = -v for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 623 + -3400?\nAnswer: -2555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -557 = -14*d - 1817. Let r = -90 - d. Solve r = 5*p + b + 6, 4*p = 2*b - 12 - 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b - 14*b = -432. Solve 1 = 145*p - b*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4336013?\nAnswer: 11, 401, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -75 + 63. Let t = b - -22. Is 2 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 3*h**2 + 312*h - 2294. Calculate b(7).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6 and 321715940615690?\nAnswer: 321715940615696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k - 1. Let u(f) = 2*f**2 + 2*f - 1. Let a(d) = 3*b(d) + u(d). Let j(o) = -2*o**2 - 4*o + 4. Let w(q) = -2*a(q) - 3*j(q). Factor w(p).\nAnswer: 2*(p - 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 12\/7*n**3 + 3*n**4 - 12\/7*n - 3*n**2 + 0 = 0. What is n?\nAnswer: -1, -4\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.4, -177.5, -1, -2\/19, -3\/5, -20?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -303 (base 15) in base 14?\nAnswer: -366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104596999?\nAnswer: 13, 8045923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1077\/7 - -154. Let j*m + 0 + 1\/7*m**2 = 0. Calculate m.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1189 + 1811. Is d > 621?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1456 - 1455.94. Which is the third smallest value? (a) -7 (b) -4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that i**5\/10 - i**4 - 47*i**3\/10 + 262*i**2\/5 + 64*i - 640 = 0.\nAnswer: -5, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 5*b**2 + b + 1. Let r be g(-1). Suppose -1 = 2*l - r. Factor -k**2 - 2 + 1 - 3*k**2 + 5*k**l.\nAnswer: (k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*r - 22. Solve 6*y - 6 = r*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9.8 - 198.8. Let w = -186 - i. What is the fourth biggest value in -1.7, 0, w, 1?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15246 divided by 1386.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*b + 4*b - 12, -3*b - 42 = 3*g for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -5. Let q(s) = -s**2 + 5*s - 4. Let k be q(5). Let z = t + k. Let v(y) = y**2 + 2*y + 2. What is v(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 991972739?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4570001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-144)\/75 - -2) + (9984\/(-800))\/6. Suppose 35 = 3*p + 4*z, 9 - 79 = -5*p + 5*z. Let n = 8 - p. Which is the nearest to 1\/2? (a) j (b) -4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1\/5, -5, 46.\nAnswer: -5, 1\/5, 0.4, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (17\/(-2))\/(5\/(-10)). Solve 3*h + 4*z - p = 0, 4*z - 5 - 11 = -4*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.007 - -0.107. Let g = -0.315 + 0.215. Suppose 0 = -2*w + 3*w. Which is the closest to r? (a) w (b) 1\/4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 at least -2.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.07 (b) 0.1 (c) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 545*p - 32078*p**3 - 545*p.\nAnswer: -32078*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*b + 29*b = 814 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44411 is divided by 14800.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-8 + 2 - -8) + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/256 or 0?\nAnswer: 3\/256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 16, 27, 48, 79, 120?\n\"Answer: 5*y**2 - 4*y + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -13 and 12454?\nAnswer: 12467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 119191 - 489191. What is c rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88.71566*-0.78.\nAnswer: -69.1982148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -61527 (b) 2 (c) -10 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + 11. Suppose -5*p + 29 = -26. Calculate the remainder when t is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 285409.\nAnswer: 269, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 7*y + 3. Suppose -1 = -4*h + h - x, 15 = 3*h + 3*x. Let u(n) = -6*n - 3. Determine h*i(s) - 3*u(s).\nAnswer: 4*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3448512 + 2.8.\nAnswer: -3448509.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -335376 divided by 93\nAnswer: -111792\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32362*z**2 + 97081*z**2 - 32364*z**2 - 32360*z**2.\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 13506678?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4494 = 43*t - 282*t + 1003 for t.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2*sqrt(132)\/(sqrt(12) + sqrt(12)*-2))**2 + -3*(1*sqrt(110)*2)\/sqrt(10).\nAnswer: -220 - 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5599, 11208, 16817, 22426, 28035?\n\"Answer: 5609*t - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 27902350.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 12 = c. Is (c\/9)\/(4\/(-6)) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-4)*g*g*g**2)\/(g**(1\/4)\/g**1) assuming g is positive.\nAnswer: g**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 93158 and 204295494.\nAnswer: 204295494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**2 - 10*v - 18. Let y be (-35)\/(-2)*(-20)\/25 - -10. Calculate s(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k - 2*k + 5*k)*(-2*k + 3*k - 2*k)*(7 - 3 - 1).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17750*m**5 + 4*m**3 + 46574*m - 1 wrt m.\nAnswer: -355000*m**3 + 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 10 - 5. Let f be -7*1\/(-1)*j. Let p be (-7)\/5 + 14\/f. Let b(h) = h + 1. Give b(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*u**4 + 7205*u**3 + 68225*u**2 + 124375*u - 161250 = 0.\nAnswer: -5, 6\/7, 215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/48 and 24\/(-132) - 4722\/(-2376).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.3 and 192.4838?\nAnswer: 635.19654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1022011122 - 10?\nAnswer: -1022011202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, i: 1, c: 7, s: 7, v: 1, w: 3}. Give prob of picking 1 i and 1 v.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 1, 2*k + 2*k = -2*n + 2712. Is 8 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*1466187.\nAnswer: 5864748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84\/90*((-480)\/56)\/(-5)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of i**4\/4 + 7*i**3\/3 - 7*i**2\/2 - 6*i + 8. Calculate the remainder when v(-6) is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-five quarters of a litre?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4541, 5053, 5915, 7127, 8689, 10601, 12863?\n\"Answer: 175*a**2 - 13*a + 4379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 1202*f**2 + 1200*f - 7. Determine z(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2 + sqrt(288) + -3).\nAnswer: -24*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1250625?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 6 - 14 = 0. Let l = 14 - h. Suppose 1206 = 22*k + 414. Calculate the highest common factor of l and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 4. Suppose o*a = a - 10. Let r = 14 + a. What is the remainder when 5 is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 745336740?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 5*r - 7, -10 = 2*r - 7*r. Does 11 divide ((-52)\/a)\/(28\/(-126))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 60*s**2 + 98*s - 1424. List the prime factors of v(13).\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -8, -11, 29, 5 in decreasing order.\nAnswer: 29, 5, -2, -8, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, i: 14}. What is prob of sequence zi?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1546 + 1557. Let q = -28 + 12. Let i = q - -46. Calculate the remainder when i is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - 0) + -31 + 39 - (15 + -9) - 84.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n + 4. Let d(a) = a**2 - 9*a - 18. Suppose -26*g = -25*g + 3*l + 5, 9 = -4*g - l. Let w(p) = g*d(p) - 9*v(p). Let o(r) = -26*r. Give w(o(s)).\nAnswer: -1352*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 327645139.\nAnswer: 19, 17244481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 74\/14 + 32\/(-112). Let z = -6 - -4. What is the nearest to -2 in i, 2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/2 + -4 + 4. Suppose b - 1471 = -3*z - 189, -r*z + 3867 = 3*b. Suppose -2*l - b = -5*y, 0 = -y + 4*y + 4*l - 785. What are the prime factors of y?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 195 and 10400?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**2 + 5*c + 2. Determine q(-5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1221 = 443*q - 554*q for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5 - -3)\/(-6) + (-131232)\/(-18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x - 10. Let i be v(-11). Suppose k = 3*h + 2, 0 = -4*h + k + i - 3. Which is the closest to 0? (a) -1\/3 (b) -2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000478343 rounded to 7 decimal places?\nAnswer: -0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-292)\/(-20) + 3\/(-5). Let x be 12\/(-21)*q\/(-4). Let c be x\/5 + (-186)\/(-10). Calculate the greatest common factor of c and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -141 + 161. Suppose -4*p = i*p - 816. What is the highest common divisor of 272 and p?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.261772? (a) 1 (b) 0.2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/8, -2\/7, 5, 2149?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n - 4. Let x be z(6). Suppose f = 2*f - x. Suppose -3*t + 30 = -f*r, t - r + 4 = -5*r. What is the remainder when 15 is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -3729791.\nAnswer: 1118937.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 PM and 10:55 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*36151595.\nAnswer: 144606380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 642411382 + -57816066367\/90. Let g = q - 10643. Find the common denominator of g and 77\/50.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 31 and -10.\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -105*m + 62962 + 156107. What is the greatest common factor of m and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11163.3cm in meters?\nAnswer: 111.633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) - (sqrt(187) - 3*(3*sqrt(187) - sqrt(187))) - sqrt(187))\/(sqrt(11) - sqrt(264)\/sqrt(6)) + 5.\nAnswer: -5*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2031212200 (base 4) to base 8.\nAnswer: 2154640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - 4*l**2 + 3*l - 1. Let p be v(2). Let o = 19 + p. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - -3. Find the third derivative of -13*z**s + 2*z**2 - 7*z**2 + 6*z**5 wrt z.\nAnswer: -420*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 41*d + 27 - 37*d + d**3 - 3*d**2 - 2*d + 3*d**2 + 5*d**2. Calculate w(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2312*c*p**3*w - c*p**2*w + 4*c*p**2 + 2*c*w**2 - 45*p**3*w**2 - p**2*w**2 - 4*p wrt p?\nAnswer: 13872*c*w - 270*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 6*j - 5. Let d(x) be the second derivative of x**5\/20 - x**4\/6 + x**3\/6 - 8*x**2 - 58*x. Let q be d(3). Calculate o(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -5557*r - 1. Is d(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millennium in years?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 134, 155, 176, 197, 218, 239?\nAnswer: 260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/(-11016)*34)\/((-2)\/747)?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 4*t**2 + 3. Let c be r(4). Suppose 66*q - 64*q - 8 = 0. Sort c, q, 2 in increasing order.\nAnswer: 2, c, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 40 = -3*k + 15, -20 = 5*n. Solve 3*u - 2*v + 13 = 0, u - 9*v + k = -5*v for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -93342 and -21.58.\nAnswer: -93363.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 3*w. Suppose 0 = 2*b - 0*b - 4*v - 4, -20 = -5*b + 5*v. Let u(s) be the second derivative of b*s + 7\/6*s**3 + 0*s**2 + 0. What is u(r(m))?\nAnswer: 21*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/5100 and -87\/100.\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7459?\nAnswer: 7459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n + 16. Let p(v) = 11*v**2 + 6*v - 15. Let s be p(3). Let k be s\/15 + 11\/55. What is l(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2452 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11251055579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0*2\/16 + (-30216)\/(-7 - -3).\nAnswer: 2, 3, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -4*r**2 + 8*r + 3. Let w be n(5). What are the prime factors of (38\/w)\/(2\/(-213))?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -25730 to the nearest one thousand.\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40.0858 - 0.0858. Let d = 58 - 97. Let z = y + d. Which is the nearest to z? (a) -4 (b) -5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4101431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**2 - 2. Let u(x) be the first derivative of -x - x**4 + 2 + 2\/3*x**3 + 0*x**2. Let i be u(1). Let c(v) = 2*v**2 + 2. Calculate i*q(f) - 2*c(f).\nAnswer: 2*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2658 is divided by 86?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 57*a**4 + 72 - 68 - 14771*a**3 + a + 14772*a**3 in the form p*a**2 + u*a + z*a**4 + o + v*a**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -2\/3, -1\/3, -17\/3.\nAnswer: -17\/3, -2\/3, -1\/3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + 3*x. Suppose -2*j + 36 = 2*j. Let z(r) = 33*r + 32*r - 124*r + 40*r + 5*r**2 + 31*r. What is j*l(w) - 2*z(w)?\nAnswer: -w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 120970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.274386m in micrometers?\nAnswer: 274386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*h = h - 13 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d5b (base 14) to base 12.\nAnswer: -1631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.47805 nanograms in tonnes?\nAnswer: 0.00000000000000147805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 17*q**2 + 25*q - 29. Determine o(15).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**3 - 12*q**3 + 0*q**3)*(2 - 1 - 4) + 0 + 0 - 2*q**3 + (-3 + 3 + 2*q)*(-q - 2*q**2 + q) + 4*q**3 + q**3 - q**3.\nAnswer: 40*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 332314 (base 8) to base 5.\nAnswer: 12034240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4*g = -12044, -3*p + 21636 = 2*g - 14566. What is the greatest common factor of p and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 4*g**2 - g + 69. Let c be a(0). Let o = c - 61. Let t be 2\/(-5) - 12\/(-5). Solve -2*k - 12 = 4*h, t*k - 4*k = o for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3\/11, -1\/5, -0.17, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -88 - -33.18.\nAnswer: -54.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5495*n**4*r - 2*n**4 - 31*n**2*r + n*r + 4*n - 80*r wrt n?\nAnswer: 131880*n*r - 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 25161 = -5*r, -453 = -4*r - 3*u + 19685. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 913511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 21193.42 decades in centuries?\nAnswer: 2119.342","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/15*3)\/((-7)\/(-7))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 862653942 to the nearest integer?\nAnswer: 29371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 20420?\nAnswer: -4084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -133.17362 to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from apavqqvapqarpqaaqapq. What is prob of picking 2 q?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express a**2 + 64 - 65 + 610*a - 588*a as d*a + p*a**2 + w and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 15) in base 4?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4498 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 2*o - 42 = 0, -5*q + 391 = 3*o + 444 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257*b + 126*b = 1572 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 51\/7 + (-2)\/7. Let s(b) = -b - 4. Let q be s(-6). Let o(l) = -t*l**2 - 2*l**q + 2*l**2 + 5*l**2. Let u(r) = -2*r. Determine u(o(c)).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 55 = -3*f + 6, 5*x = f - 52. Let a(t) = -2*t**3 - 3*t**2 + 4*t + 3. Let y be a(-3). Calculate the highest common divisor of y and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -992, -3986, -8970, -15938, -24884?\n\"Answer: z**3 - 1001*z**2 + 2*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 6:56 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y + 22982*y**2 + y - 22924*y**2.\nAnswer: 58*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 102, 450, 1028, 1836?\n\"Answer: 115*c**2 + 3*c - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 9:02 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 2, 508, 3 in descending order.\nAnswer: 508, 4, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d + 235*s - 237*s, -2*s - 3 = d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, m: 2, v: 1, w: 1, h: 2}. What is prob of sequence vmmm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -60*i**2. Let v(x) = -33399*x**2. Give v(k(w)).\nAnswer: -120236400*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 4:40 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 6 (c) -0.313\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i + 0*i - 3*i)*((-6 + 1 + 3)*(4 - 1 - 4) + 7 - 2 - 3)*(7*i + 16*i - 10*i) to g*i + p + r*i**2 and give r.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56500*m - 56246*m = -3302 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + (4\/(-4))\/(3\/(-27)). Let v = -5 + p. What is the first derivative of -4*h**4 + 3 - 5*h**4 + v - 10*h**4 wrt h?\nAnswer: -76*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3149*o - 2014 + 2*o**2 + 997 + 1017 in the form i*o**2 + v + h*o and give h.\nAnswer: 3149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/2013 and -59\/1923.\nAnswer: 1290333","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4390622\/5 or -878124?\nAnswer: -4390622\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 11 = -2*d - 4*l, 4*l = 5*d - 16. Suppose 0 = 6*j - d*j. Let c be 3\/(-6)*(6 - j). Let o(n) = n**3 + 4*n**2 + 2*n + 4. Calculate o(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 54 = -58. Solve -g*v = r + 4 - 2, -3*r + 2*v - 14 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-2) + (-7 + 7 - -2). Let y(q) = -453749*q**2 - 5*q + 4. Let v be y(s). Round v to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -5 - (3 + -1 + 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -2\/5, -0.3, -911, 3\/5, 0.3, 2\/19?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*f + 54 = -60 + 58. Is f at most as big as 1\/550?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 384209 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -10*q + 8. Let s(g) = 5*g - 4. Give -7*s(h) - 4*v(h).\nAnswer: 5*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - -7) + (-6 - -2). Let z(s) = -4*s + 32. Let k be z(7). Sort -3, k, -4, u in descending order.\nAnswer: k, u, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 3 - (3 + 2 - 8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 55882 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3\/2 - 2. Let w = 57 - 53. Which is greater: x or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 8:04 PM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4132?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4786 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1033 - 1016. Solve 7*r = -4 - w for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 9783?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23235 is divided by 1058?\nAnswer: 1017","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/16)\/(40\/(-144480)*-21).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2041185.\nAnswer: 3, 5, 41, 3319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/40 + (2 - 6\/3). Suppose 0 = 4*z + 4, -4*k + 6*z - 2*z = -8. Which is smaller: k or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 355 divided by 2244.\nAnswer: 355\/2244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 87 + -89. Sort -5, a, 173, -3 in descending order.\nAnswer: 173, a, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 67\/4 of a millennium?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*s + 75 = 33. What is the closest to -0.2 in 5\/4, -1\/3, s?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3446498?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122*a**2 + 23*a - 40*a + 6*a + 10*a + 2 + 8.\nAnswer: -122*a**2 - a + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 303927 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 167110 a multiple of 240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/25018392 and -37\/8631.\nAnswer: 75055176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -35 + 3. Let i = -19 - d. What is the remainder when 38 is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -74ea?\nAnswer: -74e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**3 + q**2 + 2*q**2 - 2558 + 2638.\nAnswer: 2*q**3 + 3*q**2 + 80","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24510 and 780.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42461?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -127, -2, 4.\nAnswer: -127, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 922*f - 979*f + 228. Sort 200, 0, 3, f, -4 in increasing order.\nAnswer: -4, 0, 3, f, 200","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -10*p + 6. Let u be 220\/(-18) - (-22)\/99. Let k be ((-2)\/(-6))\/(u\/612). Let t be v(k). Calculate the highest common factor of 16 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 177612247?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 758, -3, -4, 1, 46 in ascending order.\nAnswer: -4, -3, 1, 46, 758","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 48 - 43. What is the nearest to -2\/3 in x, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 - -0.1. Let x = j - -0.31. Round x to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17187253 to the power of 1\/2, to the nearest integer?\nAnswer: 4146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 397827455 and 170.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -376*u + 354*u - 203*u - 125*u.\nAnswer: -350*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-5) + 4\/10. Suppose -4*v + 5*v + 37 = d. Let g = 54 + v. What is the highest common divisor of 85 and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -3*l + 32, 0 = -4*i - 0*i + 4*l. Sort 7, i, 0, 2 in ascending order.\nAnswer: 0, 2, i, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 8\/7 (b) 3\/2962 (c) -2\/15 (d) 4 (e) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f**2 + 2*f**2 - 2*f**2)*(5*f**2 - 5*f**2 + 3*f**2).\nAnswer: -12*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 3413540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -3. Let r = 0 + t. Are r and 1\/2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1302659, 1302658, 1302657, 1302656, 1302655?\n\"Answer: -y + 1302660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggg when four letters picked without replacement from gggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 250 + -67. Suppose -n = -k - 0*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v + 22. Let h be x(9). List the prime factors of (h\/3)\/((-1)\/21).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 36*t - 5. Let r be v(4). Let p be ((-2452)\/(-18) - -1) + 2. Let c = r - p. Which is smaller: c or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1622240818 and 1.7.\nAnswer: -1622240816.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhg when three letters picked without replacement from hhgggghhhghg?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*o - 13 - 55 - 75 = 0 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -485*-1.1.\nAnswer: 533.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + w - 551, y + 2*w = -2*y + 826. Suppose y = 29*c - 6*c. What is the remainder when 17 is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 110688?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(136) + sqrt(136))*3)\/(sqrt(32) - sqrt(512)).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-33)*n\/n**4)\/((n**(-38)*n)\/((n**(-39)*n*n)\/n)) assuming n is positive.\nAnswer: n**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.3, 17, -3\/5, 1\/6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-3 - -3) - (-4 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v**3 - 94*v**2 + 86*v - 113. What is the tens digit of f(-48)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -4*r - 3*l, 40 = 5797*r - 5813*r + 4*l for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (236891 + 241*l - 236891)*(20 + 125*l - 20 - 64*l).\nAnswer: 14701*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - q - 19 = 2*q, 4*q = -12. Solve v*h = -2*h + 24 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -1904*a - 1. Let w(f) = 1906*f + 1. Calculate 7*i(k) + 6*w(k).\nAnswer: -1892*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -30 + 100. Let x = -9 - l. Solve 0 = -x*q + 2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(270)*1 + sqrt(270))\/sqrt(10)*-3)**2 + (sqrt(21)*-2*-4)\/(sqrt(56)\/(sqrt(64)\/sqrt(8))).\nAnswer: -28*sqrt(3) + 973","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 12, 4*g + 5*s = 2*s + 1281. What are the prime factors of g?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of -4*m**5 - 161*m**4\/6 + 155*m + 66. Let c(i) be the first derivative of n(i). What is the third derivative of c(h) wrt h?\nAnswer: -480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a + 113 - 115 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -91 and -1?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dyk when three letters picked without replacement from {k: 5, y: 5, d: 3}?\nAnswer: 25\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137900*a + 137963*a - 819 = 0 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -437\/5 - -88. Let b be (-268)\/(-876) + (-2)\/6. Let p = -116\/1095 + b. Sort p, j, -2 in descending order.\nAnswer: j, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0068 rounded to 4 decimal places?\nAnswer: 0.0068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -359 or -298?\nAnswer: -359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -6*u**2 - 6*u + 8. Let z(f) = 2*f. Let q be z(-4). Let b be 1 + (4 - (-2 + 5)). Let o(k) = -1 - 2 - k + k**2 - 2*k**b + 4. What is q*o(m) + n(m)?\nAnswer: 2*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + 8*f - 8. Let l be w(6). Suppose 2*m + 17 = m. Let p = 27 + m. Solve c = -l*c + p for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 2 = 2*j. Let o(h) = -h**3 - h**2 + 5*h - 3. Let l be o(j). Suppose l*u = -u - 4. What is the nearest to 3 in -0.2, u, -1\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 + 52. Let t = 6 + -23. Let a = w + t. What is the remainder when 34 is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -3 + -3 + (-5 - -6 - 6)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3837?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 53 - 41. Suppose 4*a - 4 - 8 = 0. Solve -2*g = 4*i - a*g - 21, -3*i + k = 3*g for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-11 - (-1 - (19 + 8))) - 27?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 216 and 12852.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 611 is divided by 56?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((sqrt(196) + 1*sqrt(196) - sqrt(196)) + sqrt(196))\/(sqrt(175) + -3*sqrt(175)))*-1.\nAnswer: -5 + 2*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 47823 and 14250?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*g**4*p + g**4 - 5155*g**3*p**3 + 32*g**2*p**2 - 10*g**2 + 108*g*p**3 + 2*p**2 wrt g.\nAnswer: -312*g*p + 24*g - 30930*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -3) + 10 - (10 + -5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 70, 179, 394, 751, 1286, 2035, 3034?\nAnswer: 4319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/(-192)*3*5\/(((-6)\/3)\/20).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/1375 and 73\/4725?\nAnswer: 259875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(102)*2 + (sqrt(102) - (-3*sqrt(102)*-2 - sqrt(102))))\/(sqrt(6)*-1*-4 - sqrt(48)\/sqrt(72)).\nAnswer: -6*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence otso when four letters picked without replacement from {s: 2, t: 1, o: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -365, -366, -369, -374, -381, -390?\nAnswer: -401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 134*h**3 + h**2 - 18*h + 31. Suppose -8 = 24*z - 28*z. List the prime factors of i(z).\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5*v - 12 = 16, 4*l = 4*v - 44. Let w be (-1)\/(-1*(-8 - l)). Let c be 2\/4 - (-99)\/(-246). Which is greater: w or c?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vsu when three letters picked without replacement from sssssssusssssvsus?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 345?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 337 + -336.7. Let g = -40 - -24. Which is bigger: g or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-6))\/((-13)\/(-6)). Let g = -2.7747 - -5.7747. Which is the closest to d? (a) 6\/11 (b) g (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 + 8 + 11 + 4*x + 0*x**2 - x**2 to s*x**2 + t*x + g and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1931893?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**2\/15 + 8998*u\/15 + 116636\/15 = 0.\nAnswer: -4486, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 187 = -15. Let f = -57 + 26. Let w = f - j. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 174344 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h\/(h\/(h*h**(-2\/3))))*h)**(1\/53) assuming h is positive.\nAnswer: h**(2\/159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -3, -7, 3, -1 in ascending order.\nAnswer: -7, -3, -1, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l - 2*g + 60, -7*g + 9885 = 5*l + 9800 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 + 36.3. Which is the nearest to -1? (a) 4 (b) -1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51, -113, -207, -327, -467?\nAnswer: -621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 62 = -5*l - 10, w - 14 = -l. Let j be 0 + -3 + l\/3. Let 0*z**2 - j*z - 2\/3*z**5 + 4\/3*z**3 + 0*z**4 + 0 = 0. Calculate z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -126.25312 and 0.3?\nAnswer: 126.55312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -3*w - 4. Let f be b(-2). Suppose 4*j = -20, f*k + 3*j + 15 = -0*j. Solve k = 5*p - 0 - 25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 55*m**3 - 4*m**2 + 4*m + 3. Let r(z) = -55*z**3 + 3*z**2 - 3*z - 2. Determine -3*c(k) - 4*r(k).\nAnswer: 55*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34.3 - 2.3. Let m = 294032 + -294063.99896. Let h = m + g. Round h to 4 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f + 165. Give p(4).\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9171709 + 5561*b**3 - 9171441 - 53*b**3 wrt b?\nAnswer: 16524*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 30515318 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -38.\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162163394?\nAnswer: 2, 81081697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 19 + (6\/3 - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -8*y**3 - 6*y**2 + 6*y. Let s(p) = -p**2 - 5*p - 6. Let z be s(-5). Let a(w) = 17*w**3 + 13*w**2 - 13*w. Let j = 17 - 30. Calculate j*t(i) + z*a(i).\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -9 + 12 + 4*p + 42*p**2 - 2. Let k(x) = -85*x**2 - 7*x - 2. Let v(s) = -7*d(s) - 4*k(s). What is the derivative of v(m) wrt m?\nAnswer: 92*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-1 + -36 + -38)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 33055 (base 8) in base 4?\nAnswer: 3120231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 + 2*i**2 - i**2 + (5 - 5 - i)*(0*i + 2*i - 3*i) + 0*i + 0*i + i**2)*(-7 + 2 - 1 - 15).\nAnswer: -84*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -23626903529 and 0.1.\nAnswer: -23626903528.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -129, 0.2, -25, -6, -5, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -81*m**3 - 4*m - 2599 + 2599 as p*m**2 + y*m**3 + i + b*m and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/1651 or 1?\nAnswer: 1\/1651","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -51\/139148?\nAnswer: -51\/139148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121)*-2*6 + (6*(sqrt(121) + sqrt(121)*1) - sqrt(121)))\/((sqrt(121) - (sqrt(121) - -5*2*sqrt(121)))\/(sqrt(275)*2 - sqrt(11))))**2.\nAnswer: 891\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 9, l: 2}. Give prob of picking 4 q.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*a - 5*l + 6319 - 6320, a - 2*l + 18 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 11:37 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23635855.\nAnswer: 5, 4727171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/4)*j**(-6))**(-9) assuming j is positive.\nAnswer: j**(225\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3 - 56613890*h**2 - 113227774*h - 56613886.\nAnswer: -2*(h + 1)**2*(h + 28306943)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*q - 75*q - 4 = 0. Suppose 4 = 4*h - 4*o, -2*h + q*o - 4 - 2 = 0. Sort 2, -8, h, -4.\nAnswer: -8, -4, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -2737123.8713\nAnswer: 2737121.8713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 12*m - 22. Determine q(13).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 1. Let m(f) = 107*f - 215. Let j be m(2). Which is smaller: u or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 392 equal to 393?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 6*d**3 - 4*d**2 + 5*d + 4. Let g(o) = 2*o + 11. Let j be g(-4). Let z be k(j). Let n = -100 + z. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -130 + 16*x - 104 + 309 - 75. Let z(n) = -5*n + n - 17*n. Determine b(z(s)).\nAnswer: -336*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -106840, -106832, -106836, -106852, -106880, -106920, -106972?\nAnswer: -107036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8, -15, -24, -35, -48, -63, -80?\n\"Answer: -s**2 - 4*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 281.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 270624625?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/592 and 67\/144.\nAnswer: 5328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -18. Solve 3*x - 1 = -r for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17010083 is divided by 619?\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a gram in milligrams?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 19*k**3 - k - 8*k**3 + 2 - 37*k**2 + 46*k**2 - 5 as i + w*k**3 + h*k + y*k**2 and give y.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -2. Suppose -z = c + 3. Let n(g) = 4*g**2 + 7*g - 7. Let u(s) = 2*s**2 + 3*s - 3. Calculate c*n(a) + 9*u(a).\nAnswer: 2*a**2 - a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 6*h - 2. Let d(n) = n - 1. Calculate -8*d(i) + 4*t(i).\nAnswer: 16*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (176\/(-2728))\/((-27)\/15903)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 15*j**2 + 35*j + 6. Determine r(17).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 6 = -5*m - 71, m = 5*w - 229. What are the prime factors of w?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -26. Let b = w - -71. What are the prime factors of b?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7, 900, -0.3?\nAnswer: 900","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -73, -497, 32 in increasing order.\nAnswer: -497, -73, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + 16)*(0 - -11). Let g(d) = 9*d + 4. Let p be g(3). Let m = 46 - p. Calculate the highest common divisor of b and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-747)\/5229*(-574)\/((-4)\/2).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3*h + (3 - 4 + 2)*(0*h + 2*h - 4*h))*(0 + 4 - 5)*(151 - 151 + 2*h) - 3*h**2 - 5*h**2 + 3*h**2.\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0432 times -8.8769?\nAnswer: 0.38348208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -415*w - 5391 = 184*w for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1076876678, -1\/2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/2)\/((-4)\/(-224)). Let l = i - 6. What is the lowest common multiple of l and 34?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 61.2 - 60.7909. Round u to 2 dps.\nAnswer: 0.41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**5\/7 - 4178*d**4\/7 - 42652*d**3\/7 + 1399404*d**2\/7 + 23305050*d\/7 + 13261482 = 0. What is d?\nAnswer: -13, -9, 21, 2099","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gf when two letters picked without replacement from {f: 5, g: 3}?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -127365\/128 or -994?\nAnswer: -994","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/(-7)*(-1)\/(7\/4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nototnnnnngo. Give prob of picking 1 o, 2 n, and 1 t.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -10996.485+-65\nAnswer: -11061.485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 1\/8 (b) 1\/7 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -199*v**4 + 182.\nAnswer: -796*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.05 - -0.05. Let i = 1\/19625 + -39261\/215875. Sort 0.066, i, 2, g in descending order.\nAnswer: 2, 0.066, i, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 250734?\nAnswer: 2, 3, 11, 29, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -5. Let h(f) = -f**3 + 13*f**2 - 12*f - 4. Let n be h(12). Let b(m) = m**3 + 4*m**2 + 3*m + 1. Let j be b(-3). Sort j, n, q in ascending order.\nAnswer: n, q, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-8))\/((-60)\/8*(-2)\/(-6)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 403089 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 85500 and 6825.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 654067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 67 - (81 - (-258 + 376)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14444974*p**3 + p**2 + 436*p - 330?\nAnswer: 86669844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-109)\/(-3597) + -3*(-293)\/396?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7045599 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 3*m**2 - 4*m - 8. Let z be l(-3). Let f = 4 - 1. What is the second derivative of -f*d**z - 4*d - 3*d + 4*d**4 wrt d?\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1.9056531 months?\nAnswer: 0.000158804425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c**3 + 13. Let i(v) = -571 + 0*v + 280 + 285 - 2*v**3 + 0*v. Calculate 13*i(a) + 6*k(a).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -489 - -804. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2316 is divided by 1095?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 331, 0, 549, 4 in descending order.\nAnswer: 549, 331, 4, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of 4*f**5\/5 - 11*f**4\/2 + 12*f**3 - 4*f**2 - 16*f - 762. Solve z(i) = 0 for i.\nAnswer: -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -164? (a) -3 (b) 1\/4 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 6:09 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 2*r**2\/5 - 6*r\/5 + 4\/5 = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - -4. Let l be 12\/g*(3 + 4 + 3). Suppose -5*h + 26 = -0*h - k, 0 = h - 3*k - l. Solve h*s = -0*s - 4*u + 5, -5*u = -s - 28 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-6))\/((-6)\/9). Let u be 1 + 0 + (f - 0). Is u at least 4\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/(3264\/(-256))*3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 6 + 55*s**2 - 53*s**2 + 3*s**3. Let x(l) = -7*l + 17. Let c be x(-7). Let q(b) = 1 + 32*b**3 - c*b**3 + 33*b**3. Calculate -m(r) - 4*q(r).\nAnswer: 2*r**3 - 2*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.17866 to 3 dps.\nAnswer: 0.179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 5*r + 16. Let n = r - -5. Calculate the remainder when n + (3 - 42\/(-1)) is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4202950709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1372*p = -695*p - 703*p + 780 for p.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - j + 23 = 0, 0 = 2*v - 3*j - 653 + 652 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -44.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -716 - -710. Let g(p) = -51*p**3 - 3*p**2 + p - 1. Is g(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-14148)\/(-3570) + (-2)\/(-5). Let u = r - 15\/238. What is the common denominator of (-36)\/(-5) - 9\/(-6) and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 + 43 = -x. Let h be -9*(-10)\/35 + x\/63. Solve -h*l - 2 = -4*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*q - 767 = -839 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6 + 0 + ((-144)\/2)\/(-18). Sort x, 5548, 0.\nAnswer: x, 0, 5548","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -60574 - -110690. List the prime factors of o.\nAnswer: 2, 11, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 163, 8, 16, 5, -12 in ascending order.\nAnswer: -12, 5, 8, 16, 163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56 + 270*m - 94*m - 56.\nAnswer: 176*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of -4*b**3\/3 - 3*b**2\/2 - 7*b. Let v be a(-6). Let j be v\/55 - 4\/(-22). Solve 4 + j = -x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*q**2 - 4*q**2 + 2*q**2)*(21 - 9 + 6) to o + w*q + z*q**2 and give z.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10156055 (base 7) in base 3?\nAnswer: 1121102002102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2973004?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**5*o*o)**(-3\/26))**39)**(1\/52) assuming o is positive.\nAnswer: o**(-9\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 68*f - 58*f - 980. What is the remainder when 209 is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -1153889?\nAnswer: 1153887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**3 - 15*a**2 + 10*a - 10. Suppose 0 = 3*o + 24 - 87. What is the remainder when o is divided by s(7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47326453939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8973?\nAnswer: 3, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*(p*p\/p**(-6))\/p))\/(p*p*(p*(p**(1\/5)\/p*p)\/p)\/p*p)*(p*p*p**(2\/7)*p)**(-3\/13)*(p**(-1\/3))**(25\/6)\/(p\/p**(2\/9))**(4\/23) assuming p is positive.\nAnswer: p**(-2162939\/188370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 124617154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6770 + 40771\/6. Let d = 22323\/8 + -2781. Calculate the common denominator of v and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/d**0*d))\/d*d**7\/d*d**(1\/9)\/(d**(-3\/4)\/d)*(d**(1\/2)\/(d**(-4)*d))\/(d*d*d*(d\/(d*d\/(d*d\/(d**(-1\/3)\/d)*d)))\/d)**(3\/7) assuming d is positive.\nAnswer: d**(1783\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/14)\/(3\/21)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 107242 divided by 53621\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 22*u**2 + 2*u - 3*u**2 + 3 - 5 + 3. Let s be i(-1). Calculate the highest common divisor of 198 and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 986 + -1402. Let v = 572 + b. What are the prime factors of v?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 66*s**2 - 43*s - 77. Let z(f) = 22*f**2 - 15*f - 26. Let r(v) = 6*u(v) - 17*z(v). Let a be r(-5). Round a to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - 2*n - 3. Let l be p(4). Suppose l*r + 5*j - 25 = -0*j, 4 = 4*j. Suppose 60 = -r*h + 8*h. What is the remainder when 44 is divided by h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2928, 2852, 2776?\nAnswer: 2700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -271 or -275?\nAnswer: -271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c + 3*p - p - 32 + 22, -2*c = 5*p - 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12.47 + 12.67. Is -71 at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 4905 = -5*s, -2*v + 4917 = -0*s - 5*s. Let c be -2 + -4 + 3 + s\/(-329). Which is bigger: c or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -87*d + 84*d + 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, c: 5, t: 4}. Give prob of sequence acc.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 39*i - 1991. Is 50 a factor of d(119)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34741739 to the nearest integer?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*v - 794*v - 110*v - 13950 = 75*v for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56431 to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 124 and 4?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9\/28 + 15\/14. Let c be 3 + -5 + 3 + 3. Determine a, given that p*a**c + 3\/2*a**2 + 3\/8*a + 15\/8*a**3 + 0 = 0.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-4)*2 + 0\/3. Calculate the common denominator of -2 + (t - (-193)\/24) and -11\/27.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 9:21 PM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 291.32 rounded to the nearest ten?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 10:19 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-13 - (-2 - 20))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20a (base 12) to base 8.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (13\/(-3276)*-24)\/(68\/(-18) - -4)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 2:40 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3318311?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -114049421 equal to -114049419?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 2. Let s = -483 + 2414\/5. Which is the fourth biggest value? (a) 2\/13 (b) s (c) n (d) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1678, -1651, -1604, -1537, -1450?\n\"Answer: 10*w**2 - 3*w - 1685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -17*k**2 + 3*k - 4. Let v(f) = -f + 1. Let c(l) = -r(l) - 3*v(l). Is 8 a factor of c(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4015, -2, 6975.\nAnswer: -4015, -2, 6975","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.1 - 1.3. Let x = 3 + -3.5. Let y = -5.4 - -5. Which is the second smallest value? (a) x (b) m (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 306883, 306884, 306885, 306886, 306887, 306888?\nAnswer: 306889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*m + 32, -84 = -4*s + 2*m. Suppose s = -4*o + 31. Find the third derivative of 26*y**2 - 3*y**3 - 3*y**o + 10*y**3 - 5*y**3 wrt y.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3417833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3765.9 - 3766. Which is the fourth smallest value? (a) 2\/25 (b) x (c) 0.2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4305 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 8, -957, -0.4, -4.\nAnswer: -957, -4, -0.4, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 7467425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38 - 23 + 121*w - 128*w - 4*w - 13.\nAnswer: -11*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -14d - 9?\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*k)*(-2*k**4 + 2*k**4 - k**4) - k**3 + 2*k**5 + k**3 + 7*k**5 + 5*k**5 + 2*k**5.\nAnswer: 18*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 84.1 + -89.1. Put 0.5, -3\/5, q, -0.4 in increasing order.\nAnswer: q, -3\/5, -0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 315\/99 + -3 + (2256\/(-64))\/(11\/(-4))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 + 8*k + 11. Let o be t(-8). Let f be 156\/o - (-4)\/(-22). Calculate the highest common divisor of 84 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/207*656\/(-164)*3\/4?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 7:32 AM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -37 and 0.02.\nAnswer: -0.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 87 and 1073.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 1026084\nAnswer: -1\/513042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 804316?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*l - 48*l - 43*l + 2*l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-76*o - 287*o + 29*o - 221*o)*(3*o + o**2 - 3*o).\nAnswer: -555*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-19)\/18)\/(-1))\/(-79*362\/(-128691))?\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6346\/12654 - (-215)\/(-387)?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 12980 divided by -1180\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 2:32 PM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010 - 1110110110001000?\nAnswer: -1110110110010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t - 3*z - 137 + 167, 3*t - 56 = -5*z for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/3300*77)\/((-8)\/(-10)).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.23 - -3.2299987. What is p rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3066092 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0*(-4 - -3))\/1. Suppose -3*r + 54 = 5*o, o + r + 0 - 12 = g. Let p = o + -4. Solve 2*h - 5*m = 16, -2*m - p = h + 5 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**2 + 4*r**2 + 3*r**2 + (-2*r + r - 2*r)*(-r - 2*r + 5*r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 31 - 79 = 0. Let x(w) = w**3 - 11*w**2 + 7*w - 6. Let c be x(z). Let f = c + -39. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-13))\/m**10)\/((m**9*m)\/m*m**(-1\/2)\/m) assuming m is positive.\nAnswer: m**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1972 is divided by 311?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9727935 or -9727928?\nAnswer: -9727935","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10302)\/(-56661)*3\/(-24).\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37935*o + 1978 = 37985*o - 1472 for o.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 8 = -5*g. Solve n + 3 = g for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 43550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.5 - 6.49999903. What is f rounded to seven decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j. Let a be 2845\/6828 + (-2)\/8*1. Let t(y) be the second derivative of 0 + 0*y**2 - y - a*y**3. Calculate t(b(p)).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 20*t**2 + 33*t - 15. Calculate j(-18).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2600 by 650.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -c44?\nAnswer: c49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1053529\/15 + -70235. Factor -2\/15*m + 0 - 2\/15*m**3 - w*m**2.\nAnswer: -2*m*(m + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 949 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - 9 - 4) + 37.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 310\/7 + 4\/(-14). Suppose 0 = 3*p - 12. Calculate the greatest common divisor of p and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4026345 = -1708655. Round j to the nearest 100000.\nAnswer: 5700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 11\/((-44)\/(-256)) + -4. Let w = 206 + t. What is the common denominator of -1 + 1\/(20\/w) and -71\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10100110010202 - 11?\nAnswer: 10100110010121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11082 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, h: 1, k: 3, t: 1, z: 4, w: 1}. What is prob of picking 1 t, 1 h, and 1 k?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -4*n + 14. Give g(10).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -41*a*m**2 - 2*a - 23*m**2 - 161 wrt m?\nAnswer: -82*a*m - 46*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 432 and 121489632.\nAnswer: 121489632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 * 0.2\nAnswer: 0.006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1, -189, -54.299?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15\/10*1*(-4)\/(-3). Let g be ((-14)\/(-6) - j)*-358. Let l = g + 227\/2. Which is smaller: l or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.5 + 2. Let s = 85.2 + -85. What is the nearest to 2 in 0.1, s, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*t - 120*t - 102*t - 103*t + 487*t.\nAnswer: 69*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -y**4 - 86*y + 15*y**4 - 12 + 86*y wrt y.\nAnswer: 56*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-4) + 21\/12. Suppose 3*c = -m*c + 45. Calculate the highest common divisor of c and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 5*f**2 - 2*f + 1046. What is the units digit of o(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -12966*n - 220428. Determine r(-17).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 536 and 90821582.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15.84 - -18. Let r = -0.16 + a. What is the third smallest value in r, -2\/5, -2\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**4 + 2*w**2 - 2*w**2)*(4*w - 3*w + 0*w) - 22*w**5 + 11*w**3 - 11*w**3.\nAnswer: -23*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 519?\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -5*x**2 - 66*x - 13. Give p(-13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 6 = t + 2*h, 0 = -4*h + 4. Suppose -j - 2*v + 31 = 3*v, v = t. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*m + 7296 = 6246 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from oodgaoddod?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-13 + (2 - -4)) - 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*i = -121*i + 72 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffefeefedfdeff. Give prob of picking 4 f.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*h = -30*h + j + 534, 24 = 4*j. What is the highest common factor of 2115 and h?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*w = -132 + 258 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ebe when three letters picked without replacement from ebbbbeeebe?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 19448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + 15. Let p be 144007\/(-30) - 12\/s. Let h = p - -4823. Find the common denominator of 83\/28 and h.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -106 (base 11) to base 3.\nAnswer: -11201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and 5289.\nAnswer: 5289.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1081 + 272. Let i = o + 809. What is the nearest to 12 in 0.1, -0.2, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -184, -721, -1606, -2833, -4396, -6289?\n\"Answer: m**3 - 180*m**2 - 4*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/5)\/(1\/(-10)*8)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1169*j + 2*j**2 - 559*j + 0*j**3 + 0*j**2 - j**3.\nAnswer: -j**3 + 2*j**2 - 1728*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (12*-1)\/(-3) - 16\/5\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 9696, 19393, 29092, 38793, 48496, 58201, 67908?\n\"Answer: m**2 + 9694*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42428.\nAnswer: 2, 10607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-240*50\/(-10000))\/(12\/200).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6879584*m**2*o**3 - 3871*m*o**3 - 2*m*o**2 + 18*m + 2*o**3 + 2*o - 1 wrt m.\nAnswer: 13759168*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 4*l**5)*(59 - 157 + 48).\nAnswer: -200*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -110d (base 16) to base 12\nAnswer: -2639","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*b + 4*b + 2*b)*(2 + 8 + 0)*(0 + 1 + 0) in the form j*b + l and give j.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 66157343 a multiple of 390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 12*r + 15. Suppose 2*k = -99 + 119. Calculate b(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2487215831?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 5*l + 14, 0*u + l = 5*u - 32. Calculate the least common multiple of 54 and u.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m - 2*m**2 - 3*m + (3*m - 4*m + 0*m - 3*m + 7*m + 2*m - 4*m + 0*m + 3*m + (0 + 0 + 2*m)*(5 - 4 + 0) + 4*m + 3*m - 5*m)*(-4*m - m + 3*m).\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3932 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 12:10 AM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3169620, 6339240, 9508860, 12678480, 15848100, 19017720?\n\"Answer: 3169620*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/3)\/(10\/12))\/(189\/675)?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 13\/5 of a meter?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 604?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3373729*l**3 + 99440*l**2 + 12.\nAnswer: 20242374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1.6, 17, 1\/15573, -0.2?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - f = -6, 2*f + 2 = -l - 1. Suppose -1 = -d, 3*c - 2 = -l*d + 34. List the prime factors of c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 8 = 4*p, 0 = -3*p + 2*b - 6 + 27 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2 + (-1 + sqrt(405) + -3 + sqrt(405) - sqrt(405))))**2.\nAnswer: -324*sqrt(5) + 3681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 172 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 923*b - 191303. Determine c(207).\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-10))\/((-4)\/(-90)*(-549)\/732).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*z + 2222*f = 2225*f + 38, 2*z + 3*f = 2*f + 14 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 85 and 5?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -3*v + 177, 4*t = 2*t - 5*v + 130. List the prime factors of t.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) + -1)**2 - sqrt(128))*1*5.\nAnswer: -120*sqrt(2) + 645","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 12:48 AM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -l + 2*a + 4, -5*l = -5*a - 20. Suppose 16 = 11*d - 226. What is the lowest common multiple of d and l?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13271 or -13274?\nAnswer: -13274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - 1. Let l(d) = d + 7. Let o be l(n). Is (-2775)\/(-35) + o\/(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 132*u - 4416. Give m(32).\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g + 2 = -29 - 29 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 6442752.88 to the nearest 100000.\nAnswer: 6400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*b - 16*b - 291 = 0. Suppose -3*x + 146 = -b. What is the highest common factor of 189 and x?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 6*f = -84. What is the least common multiple of 21 and f?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108, -459, -1030, -1815, -2808?\nAnswer: -4003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9216 and 5598?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nvn when three letters picked without replacement from vnvndnvdddd.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**3 + 381*b - 107*b - 10*b**2 - 160*b - 115*b - 2 as y + s*b**2 + m*b**3 + x*b and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z - 6. Let c = -11 - -11. Suppose c = 4*w - 0 + 28. Let m(f) = 3. Let p(b) = 2. Let s(x) = w*p(x) + 5*m(x). Give 4*s(u) + y(u).\nAnswer: u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 222010122000021 (base 3) in base 13?\nAnswer: 2b539c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 11:57 PM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 774525 (base 9) to base 3\nAnswer: 212111120212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 1654\/2217 and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 19380 = -3*j, 5*v + 32297 = 2*j + 2*j. Let g = v - -13854. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 20. Solve -1 = -5*u + 2*o - 7, 2*o - i = 4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 148949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-1) + 100\/(-48). What is the nearest to -2\/5 in 0.3, 0.2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 4 (b) 3\/5 (c) -34\/3933 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 6*d**2 + 2*d - 8. Let y be h(6). Is (-403 + (-12)\/y)\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*h = -46 - 197 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of 13\/10*d**6 + 0*d**3 - 11\/14*d**7 + 0*d**2 + 22*d + 0 + 0*d**4 - 3\/10*d**5. What is f in z(f) = 0?\nAnswer: 0, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 13 = -5*z, 2*z - 3*z = -4*w - 11. Let x be 135\/440 + w\/16. What is the smallest value in x, 5, 2\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/5 and -52\/95.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -538\/5 in 4, -1\/3, -1.67, 5, 1\/2?\nAnswer: -1.67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.2 + 34151110.921?\nAnswer: 34151165.121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*117\/12*4\/3. Suppose 2*y - w = y. Calculate the highest common divisor of y and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -1488.\nAnswer: -4464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -107156113*f**3 - 335417465*f**2 wrt f.\nAnswer: -642936678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - ((-15)\/9)\/(5240\/528 - 10).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20.7 - -3.3. Let x = 6082083.000055 - 6082107. Let p = k + x. Round p to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 14*w**2 - 2*w - 4. Let g be u(3). Suppose 31*b + g = 32*b. What are the prime factors of b?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44536974 by 6.\nAnswer: 7422829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of 0*m**5 + 1\/210*m**7 + 0*m + 0*m**3 - 12*m**2 + 0*m**6 + 0 + 1\/336*m**8 + 0*m**4. Factor s(r).\nAnswer: r**4*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and 0.765884.\nAnswer: 1.165884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 - -10 - -4) + -2. Suppose 4*b - 156 = q. Let r = b - 21. Calculate the greatest common divisor of r and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 126 and 44555040.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 72820610 >= 72820610?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1663 and 17.\nAnswer: 28271","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/7 (b) 8 (c) -3 (d) -4.5 (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((j**(-3)\/j)\/j*j)\/j)**(-22))**(-26))**(-37) assuming j is positive.\nAnswer: j**105820","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**(-6)))\/q*q**(-34)\/q assuming q is positive.\nAnswer: q**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -202*r + 209*r - 1225. Calculate the remainder when r is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 0.2, -4, -0.3, 1 in ascending order.\nAnswer: -4, -0.3, 0.2, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 24*r**2 - 3*r + 3. Let z be q(2). Suppose 8*d + 19 + z = 0. Let i = d - -25. What is the remainder when 29 is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-9)*(-4870)\/(-6818).\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.02 (b) -5\/3 (c) 19\/7 (d) -2 (e) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 2101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 + -7 + -11 + 45?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -5*s**4 - 4*s**3 + 4*s**2 + 4*s - 14. Let v(h) = -5*h**4 - 3*h**3 + 3*h**2 + 3*h - 15. Let j(d) = 3*c(d) - 4*v(d). Differentiate j(y) wrt y.\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231132763 to the power of 1\/2, to the nearest integer?\nAnswer: 15203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + a + 3*a + 1580 = 0, 5*a = 0. List the prime factors of m.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 4:06 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -250 + 383. Suppose -53*r = -3*o - 52*r + 398, r = 2*o - 266. Is o equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j - 11. Let p be s(-11). Suppose k - 3 = -p*k. What is the closest to 0.3 in k, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 f when three letters picked without replacement from {f: 1, j: 12}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 9*s - 9. Let t(l) = -14*l + 14. Suppose -84*w + 56*w - 140 = 0. Determine w*t(k) - 8*f(k).\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-3)*25605\/(-10). Suppose -v + 20614 = m. Suppose 4*q - v = -0*q. Round q to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/14)*n**5)\/((n*(((n**(-6)\/n*n)\/n)\/n)\/n*n)\/(n**(2\/19)*n*n)) assuming n is positive.\nAnswer: n**(3771\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - t - 12. Suppose 5*l + 5*c + 3 = 33, 5*l + 3*c - 28 = 0. Let i be w(l). What is the greatest common factor of i and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17468.88 millennia in centuries?\nAnswer: 174688.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 207 divide 337969859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*q = -73 - 26. Sort -5, q, -3.\nAnswer: -5, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 23*r + 18*r - 1664, 3*n - 5*r = 2491. Let q(m) = -414*m - 415*m + n*m. Let g(c) be the first derivative of 14*c**3\/3 - 1. Calculate q(g(t)).\nAnswer: -28*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h - 8 - 9 + 2 - 28.\nAnswer: -h - 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f**2\/11 + 750402*f\/11 + 113447508\/11 = 0. Calculate f.\nAnswer: -151, 125218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -q - q - 4*u, q = 2*u - 1. Let s = 4 + q. Is (-1 + 0)\/(s\/(-27)) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 6:41 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 4*k**2 - k + 9. What is b(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 10}. What is prob of picking 3 a?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 126799, 126805, 126827, 126871, 126943?\n\"Answer: b**3 + 2*b**2 - 7*b + 126803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -529*a**4\/2 - 8947*a**3 + 1562*a**2 - 68*a.\nAnswer: -a*(a + 34)*(23*a - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1052 divided by -526.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/3*(-12 - -12). Let d = -19\/4 - -99\/20. What is the third biggest value in j, -5, d?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pbbp when four letters picked without replacement from pbbpbbppbpppb?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.72325 rounded to two dps?\nAnswer: -0.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2))**(-48))**30 assuming w is positive.\nAnswer: w**2880","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 193 divide 173811168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -80828 (base 13) to base 10.\nAnswer: -229874","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 47418 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7\/5, 10914, 2, 5, 14?\nAnswer: 10914","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (110*l + 7*l - 337*l)*(2 - 2 + 2*l) + 1 - 2*l**2 - 1.\nAnswer: -442*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = m, -z - 5*m + 7*m + 9 = 0. Let q be (-1)\/2*0\/2. Suppose 0 = 2*y - q*y - 6. What is the highest common divisor of y and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25\/3 + 7. Let v = -581\/484 - 6\/121. Which is the smallest value? (a) l (b) v (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -346 + 345.658. Let f = 0.34199224 + w. What is f rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60, -372, 0.\nAnswer: -372, -60, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -11\/4. Let r = 3.8894 + 0.1106. Let q(x) = x**3 - 6*x**2 + 4*x + 4. Let t be q(5). What is the nearest to t in -4, r, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + 10*q - 3. Determine m(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19340 divided by -728.\nAnswer: -4835\/182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4579745 by -915949.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m = -11*m + 12. Let k be 24\/(6 + m) - 4. Let o(w) = 6*w**2 - 6*w + 1. Is o(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -4*p**3 + 135280*p**2 + 1218604*p - 25710040 = 0.\nAnswer: -19, 10, 33829","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 9*x + 39 = 0, 0 = -x - 1 - 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/13)\/(s\/(s\/(s**2\/s))))\/((s\/(s\/s**(4\/5)))\/s*s**(2\/7)\/s) assuming s is positive.\nAnswer: s**(-109\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (6 - 3) - -3) + (19 - 7)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 q when two letters picked without replacement from {s: 4, q: 4, p: 9}.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of t**4\/2 - 20*t**3\/3 + 16*t**2 - 216. Find f, given that n(f) = 0.\nAnswer: 0, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 7:04 AM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 133998, 134366, 134978, 135834, 136934?\nAnswer: 138278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1248057197 - 0.5275?\nAnswer: 1248057196.4725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1332 divided by 1.\nAnswer: -1332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 168\/160*4 - (-32)\/40. Solve -5*f + 22 = 4*s, 5*s + 18*f - 23*f = r for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 0.1, -0.469416, 2\/9 in ascending order.\nAnswer: -3\/5, -0.469416, 0.1, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t*(t**(1\/12)*t)\/t)\/t)\/t*t*(t*t\/(t*t**(3\/5)\/t)*t*t)\/t*t)**(-19) assuming t is positive.\nAnswer: t**(-5111\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -6*c**2 + 65*c + 28. Let d be x(11). Let i(y) be the first derivative of y**4\/4 - 14*y**3\/3 - 6*y**2 + 10*y - 1. Is i(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 72 - 72. Suppose 3*u + 0*y = -y + 4, 4*u - 5*y - 37 = 0. Let h(d) = -4*d - 1. Let m(x) = -5*x. Let z(l) = u*m(l) - 4*h(l). Give z(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a microsecond in nanoseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 - 1064?\nAnswer: -105a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 369?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.36 - -0.46. Which is the nearest to 1\/4? (a) 1\/6 (b) o (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -18 (b) 12\/7 (c) -1 (d) -0.153\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1780, 2003, 2240, 2497, 2780, 3095, 3448?\nAnswer: 3845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -313420, -313406, -313392, -313378?\n\"Answer: 14*u - 313434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 20 - w**3 - 3*w - 5*w**2 - 15 - 3*w. Let n be (-2)\/(4\/6) - 2. Let v be t(n). Solve -5*q = 2*z + 22, 4*q + v = -5*z + 14 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 4*d - 3*d**2 + 7*d**2 - 3*d**2 - 3. Let b be x(2). Solve -a + 2*a - 5*k + 15 = 0, -4*a + 3*k = b for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ezzwa. What is prob of picking 1 z and 1 e?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 4*b - 6, 5*w + 96*b - 100*b + 14 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 - -15. Let m = -35.9 + u. Let a = -26 + 24. What is the nearest to m in 1, -1\/9, a?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -172 times 1151\nAnswer: -197972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 709065546 and 714.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 650 + -638. Let c(r) = -r**2 + 19*r - 58. Let n be c(p). Solve -3*d - u + 6*u = 27, 0 = 5*d - 2*u + n for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 1372*q**2 + 19*q - 25. Let b(h) = -1370*h**2 - 21*h + 25. Let d(z) = -5*b(z) - 6*o(z). Find the second derivative of d(j) wrt j.\nAnswer: -2764","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 104 and 3848?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 464 and 212976.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 56 + -86. Let d be (8\/(-20))\/(1\/(-15)). List the prime factors of 10\/r + 200\/d.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 154398640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -133.\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7\/18 + 1\/90. What is the common denominator of d and 2*-3*(-4)\/(-7)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 16) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 32, 33, 26, 5, -36, -103, -202?\n\"Answer: -g**3 + 2*g**2 + 2*g + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from bbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 3*x - 17 = -2*f, -3*x - 21 = -3*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6759973*d**3*k - 2*d**2*k + 40*d**2 + 4*d*k - 76*k wrt d?\nAnswer: 40559838*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7137 - 7098. Calculate the remainder when 90 is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25331 and 5039?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 8*b - 14. Let n be t(-6). Let s be (-147)\/(-35) + n\/10. Solve -3*f + 10 - s = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 5 - 4. Let c(x) = 1 - x**3 - z + 3*x + 3. What is the units digit of c(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 657 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000014893 to seven decimal places.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*i = -4*i - 925. What is the remainder when i is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 7:09 PM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 12, -5, -14, 1 in descending order.\nAnswer: 12, 2, 1, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w - 3. Suppose -8*q - 192 = -24*q. What is the smallest common multiple of q and j(13)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**3\/10 + 509384*s**2 - 5093837*s\/10 - 5093839\/5 = 0?\nAnswer: -1, 2, 5093839","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -67*s**2 + 35. Let k(u) = 68*u**2 - 34. Let g(n) = -3*k(n) - 2*o(n). Differentiate g(m) with respect to m.\nAnswer: -140*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/25*25\/105.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 26 - ((-4)\/7 - (-175)\/49). Let m = 27 - f. Which is greater: 9 or m?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35 + -35. Suppose a - 3 = -p*a. Solve -2*j - a = j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 231343 and 273?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/8 of a gram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2391?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 - -19681cd?\nAnswer: 19681c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*c - 13*c - 18*c.\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2141576?\nAnswer: 2, 23, 103, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3*c**5 - 9*c**4 - 6*c**3 + 24*c**2 - 24*c + 3. Let o(h) = -6*h**5 + 17*h**4 + 12*h**3 - 48*h**2 + 47*h - 7. Let t(k) = -5*d(k) - 3*o(k). Factor t(g).\nAnswer: 3*(g - 1)**4*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a microgram in nanograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 y, and 1 e when three letters picked without replacement from ttttttytttebtb?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -59*2.2\nAnswer: -129.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 59039098 or 59039099?\nAnswer: 59039098","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/1 - (3 + -2). Let n(j) be the third derivative of 2*j**2 - 1\/12*j**s + 0*j + 0 + 1\/6*j**3. Differentiate n(y) wrt y.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20220011 (base 3) to base 12.\nAnswer: 2aaa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l**3 + 88*l**3 - 32*l**2 - 45*l**3 + 59*l**2 - 12*l**2 - 6*l to p*l**2 + v*l + q*l**3 + x and give p.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 8:14 AM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 353.844 times -0.041\nAnswer: -14.507604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1481426?\nAnswer: 2, 740713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*r**3 + 800*r**2 - 228*r.\nAnswer: -r*(r - 114)*(7*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -76*(-2)\/(7 + 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (132\/(-54))\/(-11) + 8\/126. Sort 0, l, -2\/19, -2 in decreasing order.\nAnswer: l, 0, -2\/19, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 - -64. Let t = p + -11. Let h = 22 + -6. Calculate the remainder when t is divided by h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m + 3. Let d be p(4). Sort 2, d, 12, -4 in ascending order.\nAnswer: d, -4, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7333990*x**6 + 2*x**2 - 1920264*x wrt x?\nAnswer: 880078800*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35097 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1033 + -1028. Suppose -3*s = -3*k - 7 - v, -5*k = -s + 20. What is the third smallest value in s, 0.04, 15\/4?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 5029 and -84\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 < 2903?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r + 60 = -25*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 79791 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9515 + 0.1.\nAnswer: 9515.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - -2. Let c = o - -3. Solve -2*s = 3*f - 14, 0 = 3*f - 3*s - c + 1 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 230 + -226. Let c(f) = 3*f**3 - 5*f**2 + 7*f + 3. Let o(n) = 3*n**3 - 4*n**2 + 6*n + 2. What is u*c(k) - 5*o(k)?\nAnswer: -3*k**3 - 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2363982 a multiple of 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 84 = -16*a, -5*a + 3 + 7 = -3*r + 2 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12713979689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**3\/3 + 556*r**2 - 77284*r + 10742476\/3.\nAnswer: -4*(r - 139)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/15)\/(1\/(-6)*84\/18).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -70, 14, 436 in increasing order.\nAnswer: -70, -2, 14, 436","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.16 - 0.67. Let j = p + 6.41. Round j to zero decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2 + 576*a + 14181.\nAnswer: 3*(a + 29)*(a + 163)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8*(-2)\/60*-15. Let i(l) be the second derivative of 7*l + 1\/12*l**a + 0*l**2 - 1\/60*l**5 + 0 - 1\/9*l**3. What is z in i(z) = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 19*z**2 - 4*z + 1. Let b(y) = y**3 - 19*y**2 + 3*y - 1. Determine 4*b(d) + 3*o(d).\nAnswer: d**3 - 19*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 27729 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.4 - 0.4. Let t = v - 4. What is the closest to -1 in 0.1, -4\/3, t?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w - 1. Let f be q(6). Suppose -6*h - 267 = 3. Let o be (48\/(-20))\/((-9)\/h). Which is bigger: f or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*i - 22*i. Suppose i*b + 438 = 6*b. What are the prime factors of b?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 AM and 4:00 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 99 + -102. What is the biggest value in -8, t, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -294 + 270 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1148961?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 486, -1, -10, -4, 3.\nAnswer: -10, -4, -1, 3, 486","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 425332 to the power of 1\/2, to the nearest integer?\nAnswer: 652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20404 (base 6) to base 3.\nAnswer: -10202111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-82)\/410)\/((-7)\/10).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-1)*(-1)\/19*-19\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -61 in 0.4, 3\/4, -5\/4, -0.26?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 86 = -5*j, 3*j + 46 = 3*k - 2*k. Sort 2, j, -0.4, 0.09 in descending order.\nAnswer: 2, 0.09, -0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 14*j**2 + 5*j - 35. Calculate g(13).\nAnswer: 2396","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-294)\/2058 - 27\/(-21)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-3)\/g)\/g*g*g*g*g**(2\/3))**(-27\/5)\/(g**(1\/6)\/g*g**(-3)*g**5\/g*g**(-7)) assuming g is positive.\nAnswer: g**(421\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5688*y + 5691*y + 5682*y + 16*y**2 - 17061*y.\nAnswer: 16*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3863488 and 640.\nAnswer: 38634880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.99999962 - 1. What is l rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -44, -73, -106?\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of c**7\/140 + c**6\/60 - c**5\/120 - c**4\/24 + c**2 + 3. Let r(u) be the second derivative of m(u). Let r(v) = 0. Calculate v.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32.3 + -12.7. Let l = h + 49. Let m = l + -6. Which is the closest to 0? (a) m (b) -3\/2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3\/7 (b) 2\/90471 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -157.14 - 4.76. Let m = g + -35.1. Let t = m - -195.06. What is t rounded to one decimal place?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-3 - 0 - -4) + 5. Let y(z) = -5*z + 58. What is the smallest common multiple of y(h) and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**3 - a**5 + 0*a**3 + (a**2 + 0 + 0)*(-3*a**3 - 3*a**3 + 4*a**3) + 11*a - 11*a + 7*a**5.\nAnswer: 4*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tddsdsstyrk. What is prob of sequence td?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 8:34 AM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 43c9 (base 13) to base 5\nAnswer: 300320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 0 + 3642\/3645. Let y = b - -31601\/13365. Let x = y + -28\/11. What is the second biggest value in x, 5, -1\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*h**3 - 38*h**2 - 7*h + 25253 with respect to h.\nAnswer: 18*h**2 - 76*h - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 23*f**4 - 131*f**2 + 8638.\nAnswer: 92*f**3 - 262*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-1) + -10 + -7. Let v = 8 - q. What are the prime factors of v?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 i when two letters picked without replacement from lisiiqa.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + y - 3. Calculate u(5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from yyyyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15 + (8\/(-5))\/((-380)\/(-475)) + -13. Factor 2\/7*g**2 + 0 - 2\/7*g**3 + u*g.\nAnswer: -2*g**2*(g - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24052373315658 + -0.1.\nAnswer: -24052373315658.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 6 = -2*a - 33, -3*a - 4*j = 395 - 354 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1096*p - 5846 = -32*p - 60110 for p.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(8208))\/(6*-2*sqrt(3)) + 1.\nAnswer: 1 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -67121*c**2*x**2 + 5*c + 1654*x**2 wrt c.\nAnswer: -134242*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 475335 divided by 95067\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -10\/2657353?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.23 + -0.34. Let h = m - -3.11. Let r(q) = q**2 - 3*q + 2. Let l be r(3). What is the biggest value in -3, l, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.6 + -0.1. Let x = 16 - -17. Let b = 32.7 - x. What is the biggest value in c, b, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from akwwtxftkxkxwktfw. What is prob of sequence kaw?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - 2*i**2 + 1. Let a be t(3). Solve -2*m - y = -a, -m + 5*m + 4*y = 20 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 111, -6, -5 in increasing order.\nAnswer: -6, -5, 2, 4, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -3*w + 1. Let c be (-6)\/(-21) - 172\/14. Let k = -32 - -36. Sort w, k, c in decreasing order.\nAnswer: k, w, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {h: 3, a: 7, n: 4}.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y\/((y**(7\/6)\/y*y)\/y)*y)\/y)\/(y*y**0) assuming y is positive.\nAnswer: y**(5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5557714 + 2?\nAnswer: -5557712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - 159\/21 - 36\/28.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -54.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t - 7 - 14 + 7*t**2 + 2*t.\nAnswer: 7*t**2 - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 + 0)*(53*r + 181*r**2 - 197*r - 179*r**2) to the form t + o*r**2 + m*r and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 b when two letters picked without replacement from {w: 2, b: 5, m: 6}?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20167 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, z: 5, g: 8}. Give prob of picking 1 g, 1 c, and 2 z.\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8363 and 102.\nAnswer: -853026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/(-10)*(-10)\/4. Suppose 0*r = r - 160. Suppose s*p + p + 2*d - r = 0, p - 3*d - 54 = 0. Does 14 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*v = -161*v - 3*n - 39, -68*n + 204 = v - 118 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 66\/14 + (-6)\/(-21). Suppose 3*c - 165 = -3*g, 8 = s*g - g. Let v = c + -12. Calculate the remainder when v is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 8*x**2 - 18*x + 12. Let r(f) = f**2 - 3*f + 2. Let z(w) = h(w) - 6*r(w). Let d(o) be the second derivative of 23*o**3\/2 + 2*o. Calculate z(d(i)).\nAnswer: 9522*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.06, 28, 112, -0.2?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 2)*(-20 + 32 + 7)*(7*c + 0*c - 2*c) as f*c + u and give f.\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 5*i + 24, 5*u + 6*i - 3 = 2*i. Let o be ((-12)\/(-8))\/(u\/(-4)). Let v be 0\/((-3)\/(3\/o)). Put v, 1, -2 in ascending order.\nAnswer: -2, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 263883?\nAnswer: 3, 87961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49*x**2 + 46*x**2 - 130*x**2)*(4*x**2 - 5*x**2 + 2*x**2) - 4*x**4 + 5*x**4 + x**4 + (-2*x - 2*x**3 + 2*x)*(-x - 4*x + 4*x).\nAnswer: -31*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -206 + 206. Suppose r = 510*v - 506*v - 80. What is the remainder when v is divided by 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 12 + -1 + -7\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 2, 4, -44, 25, -5\/12.\nAnswer: -44, -9, -5\/12, 2, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*b**3*g*y**2 - 29*b**2*g*y - 3*g*y**2 + g*y - 12*g wrt b.\nAnswer: -9*b**2*g*y**2 - 58*b*g*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1955 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of 0*x + 1\/12*x**5 + x**2 - 5\/6*x**3 - 1\/24*x**4 + 0. Is 21 a factor of u(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 860285 divided by -34.\nAnswer: -50605\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in 3\/4, -0.4, 0.5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 117*s - 2425. What is m(23)?\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 9:00 PM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-7))\/(((-11523)\/(-12558))\/167)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 4:44 AM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -333578.4 rounded to the nearest one hundred?\nAnswer: -333600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that i**4\/4 - 95*i**3\/4 + 369*i**2\/4 - 457*i\/4 + 91\/2 = 0.\nAnswer: 1, 2, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.00700508 and -6958050.\nAnswer: -6958050.00700508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.05 + 0.35. Let j(q) = q + 5. Let p be j(0). Let h = -0.36 - -0.06. Which is the nearest to -1\/3? (a) h (b) p (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1216.941 rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of 38*v**7\/21 + v**5\/20 + 65*v**3\/6 + v**2\/2 + 2*v + 9. Find the second derivative of x(t) wrt t.\nAnswer: 1520*t**3 + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -229*a**2 + 229*a**2 + 13*a**5 + (-a**4 + a**4 - a**4)*(-4*a + 3*a - a) - 2*a**4 + 2*a**5 + 2*a**4 + (9*a - 31*a - 13*a)*(-4*a**4 + 3*a**4 + 3*a**4).\nAnswer: -53*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 31, 39, 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50, 30, 8, -16, -42, -70, -100?\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-410)\/85 + 12 + -7?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 46 + -78 + 10 - -42\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 8*j**2 - 9*j - 9. Let m(r) = -4*r**2 + 11*r + 8. Let k(o) = -o**2 - o. Let v(f) = -3*k(f) - m(f). Calculate -6*b(c) + 7*v(c).\nAnswer: c**2 - 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (15\/12)\/((-2)\/(-8)). Suppose -n*c = -4*c - 14. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51.5*0.390292.\nAnswer: 20.100038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*2\/(7 + -1). Let n = 2 - w. Suppose 3*f - 2*g - 31 = 0, -g - n*g = 20. List the prime factors of f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 163 + -52. Let p = 15211 + -15319. Let i = p + c. Solve 3 = -4*x - i*v + 2, -4*v = 5*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 a factor of 1661580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 32 = -2*f + 10, 2*v + 3*f = 31. Let t be ((-3)\/12)\/((-2)\/v). Let h(d) = d**2 + 9*d + 21. Let j be h(-6). Solve t = -w + j for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 548719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, b: 2, p: 2, f: 6}. What is prob of sequence ppd?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 5:59 PM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 12018461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/2121020 and -73\/12650?\nAnswer: 243917300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 233171 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3653.\nAnswer: 13, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1817932 is divided by 1817665.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 23*x + 3. Let g be p(-7). Let o = g - -113. Solve 4*m + 0 = -o for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -9 - (0 + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(190)\/(sqrt(30)\/sqrt(3)*5) + -5.\nAnswer: -5 + sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 4*b**2 - 204*b - 4. Let r(n) = -n + 59. Determine z(r(o)).\nAnswer: 4*o**2 - 268*o + 1884","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -6. Suppose f = -z - z. Let a(w) = -w**3 - 5*w**2 + 7*w + 5. Let l be a(-6). Is l less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(128) - 2*(-1 + sqrt(128) - sqrt(128)) - sqrt(128)) + sqrt(128) + 1 - (0 + -3*sqrt(128) + 3))*-2)**2.\nAnswer: 8192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3460*y + 9174. What is p(-3)?\nAnswer: -1206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-10))\/(486\/(-135)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*l**2 + 0*l**2 - l**2 to v + f*l + p*l**2 and give p.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5378910?\nAnswer: 2, 3, 5, 193, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1067, -2138, -3209, -4280, -5351?\n\"Answer: -1071*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, -5, -3, 0.995 in increasing order.\nAnswer: -5, -3, 2\/15, 0.995","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of 0*m + 2*m**2 - 20 + 0*m**3 - 9\/2*m**4. Find the second derivative of q(t) wrt t.\nAnswer: -108*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43 + -10. Let t = v - 23. What is the remainder when 29 is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -28*u + 7. Let h(m) = 25*m - 6. Let g(q) = 7*h(q) + 6*s(q). Let p(j) = -4*j. Give g(p(b)).\nAnswer: -28*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-14) + 844\/14. Let c be f\/(-25) - -1*3. Which is smaller: c or 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/5)*h**5*((h\/h**(-1\/3))\/h*h)**(-18))**(24\/13) assuming h is positive.\nAnswer: h**(-2256\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-1\/2))**2*y**(1\/3)*y**(-5)\/y)\/((y*y\/y**(-1\/9))\/y**3*((y**(2\/9)\/y)\/y)\/((y*y**(-3)\/y)\/y)) assuming y is positive.\nAnswer: y**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-14)\/(-35))\/((-4)\/(-10)). Let b = 194 - 175. Calculate the remainder when (-92)\/(-1) - (-1 + j) is divided by b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 234062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3593001 is divided by 6227.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1112, -2227, -3348, -4475, -5608, -6747, -7892?\nAnswer: -9043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 842, 6613, 22288, 52823, 103174, 178297, 283148?\n\"Answer: 826*r**3 - 4*r**2 + r + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-21))\/(3\/7)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 476 - 164. Does 52 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/33580 and -43\/50140?\nAnswer: 3660220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -156, -6, 5, 4, 3 in decreasing order.\nAnswer: 5, 4, 3, -6, -156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 - -23. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 11*y**2 - 10*y + 4. Calculate d(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 3:25 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-48)\/(-21) + -2)*(11220\/(-1760) + 10 + -1). Suppose 9*o + 0 - i*o**2 = 0. What is o?\nAnswer: 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/32 - (-31)\/4. Let r be -3 + 4\/s*-4. Let j = 0.44 - 0.04. What is the biggest value in 4, r, j?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -23, 0.06, -11667, 38?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -w**4\/2 - 439*w**3\/2 + 1782*w**2 - 2682*w = 0.\nAnswer: -447, 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (704*o + 1 - 700*o + 0)*(2*o - 6*o + 2*o) + (6*o**2 - 4*o**2 + 2*o**2)*(-3 + 2 + 2).\nAnswer: -4*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 1:20 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-110)*336\/84*(-2)\/(8\/(-18)).\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63636*n = -63596*n + 80 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + -4 - 5) + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from -594.\nAnswer: -594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 - 253 = -16*g. Calculate the remainder when 151 is divided by g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that o**5\/3 - 32*o**4\/3 - 132*o**3 - 986*o**2\/3 - 917*o\/3 - 98 = 0.\nAnswer: -7, -1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -94389 - -94389.0000074493. Round m to seven decimal places.\nAnswer: 0.0000074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/170)\/((5593\/204)\/329)?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/27)\/(l**(-1\/13)\/l))\/(l**(-10\/9))**(-6\/25) assuming l is positive.\nAnswer: l**(1552\/1755)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 48 + -45. Calculate the remainder when 10 is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/(-3) + 42\/63. Suppose r*l - 1979 = -617. Is l a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -10. Let g be (-4)\/(-8)*6 - d. Solve 0*b = -g*b + 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1660 = a - 2295. Is 18 a factor of 1\/2 - a\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 41*o**2 - 8*o + 1. Let i(h) = -92*h**2 + 18*h - 2. Let w(d) = 9*a(d) + 4*i(d). Let t(k) = -k**2 + 3*k - 3. Give t(b) + 3*w(b).\nAnswer: 2*b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2894 times -2?\nAnswer: -0.5788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -18, 41, 174, 405?\nAnswer: 758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 2*k**2 - 4*k - 3. Let a be u(-3). Suppose 5*r - 4*r + 24 = a. Find the common denominator of 302\/r + 3 + 0\/6 and -133\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58573 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -j + 11475, -5*j - 3434 - 8041 = -5*q. Let p = q - 934. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-61*i + 8*i**2 + 61*i - 3)*(-3*i + 2*i - 2*i).\nAnswer: -24*i**3 + 9*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**3 + 26*p**2 + 122*p + 675. Give n(-15).\nAnswer: -2055","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 297004411?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -850 + -602?\nAnswer: -1452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/90*1*-5. Let d = -1845\/7 - -264. What is the second biggest value in d, g, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.4990305 to 2 dps.\nAnswer: 4.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -375*t**3 + 29*t**3 + 125*t**3 - 164*t**3 - 202*t**3.\nAnswer: -587*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 495001 a multiple of 290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -27, 11, 67, 141, 233, 343?\n\"Answer: 9*s**2 + 11*s - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 18793209, 18793199, 18793183, 18793161?\n\"Answer: -3*n**2 - n + 18793213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46538 or -46540?\nAnswer: -46540","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -155 - -329. List the prime factors of f.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20749 = -5*c - 846*l + 845*l, 5*l + 30 = 0. What are the prime factors of c?\nAnswer: 7, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 118000 and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -48069.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -181 + 192. Suppose -46233 = i*j + 10967. What is j rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 28*g - 59. Let q be r(2). Put 1.1, 0, q in decreasing order.\nAnswer: 1.1, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -339 - 606*c + 301*c + 339 + 304*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0132664 rounded to 5 dps?\nAnswer: -0.01327","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqt when three letters picked without replacement from {n: 3, e: 3, m: 3, t: 2, q: 2}.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30 - -12. Let g = -684 - -977. What is the remainder when g is divided by f?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 155 = 509. What are the prime factors of s?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 59720.4 - 66460. What is d rounded to the nearest one hundred?\nAnswer: -6700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15204 and 174?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -3 + 6 + (4 - 8).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 514141550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2658b - -5?\nAnswer: -26586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*y - 47*y + 406944 = 0. Calculate the greatest common divisor of 27 and y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 5*s + 3. Let c(d) = 16 + 79*d - 40*d - 15*d. Determine 3*c(l) - 16*r(l).\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.49003*33.\nAnswer: -16.17099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*j - 3*s = 21*j - 37*j - 95, -5*s = -2*j - 29 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 1.588105m?\nAnswer: 0.001588105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 16 + 50 = -x, 4*x = 3*z - 37. Suppose -z = -4*l + 17. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 3*k - 4. Let t be i(-3). Let j = t - -6. What is the second derivative of 0*z**2 - 2*z - z**2 + j*z**2 wrt z?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40 + -70. Let r = -26 - x. What is the remainder when (-34)\/((r\/(-14))\/(45\/105)) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.1937 + 0.1937. Sort u, -41, -18 in ascending order.\nAnswer: -41, -18, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0579 times -0.195896\nAnswer: 0.0113423784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 113.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 227832*m - 13418*m**2 - 18*m**3 + 13418*m**2 - 227832*m.\nAnswer: -18*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94633656 divided by 7886138.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -1\/35 (b) -5 (c) 1.68 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0266245 to four dps.\nAnswer: -0.0266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -30.\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34 - 31. Let v(l) = l + 0*l**2 + 5*l - 2*l**2 - f*l. Calculate v(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7 + 6)\/(2\/4). Let o be (-8)\/(-2) + 4\/k. Solve -6*w = -o*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -622 - 618 - 4*q - 623 + 1863.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-nine halves of a litre in millilitres?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l*l**1*l)\/(l*l\/(l\/(l*l**(9\/5)))*l*l))\/(l**(-6\/13)\/(l\/(((l**1\/l)\/l*l)\/l)*l)))**(-11\/5) assuming l is positive.\nAnswer: l**(-1188\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1275 divided by -1275?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6*d - 4 + 1 - d - 1 - d - 2*d + 4*d + (0 + 2 + 0)*(-d - 1 + 1) + 3*d - 2*d - 3*d)*(-3*d**2 - 4*d + 4*d).\nAnswer: 30*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 38*m**2 + 1795*m + 5351. Determine q(-3).\nAnswer: 308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -9*l**2 + 3*l - 2. Let t(a) = -a + 1. Suppose 12 = -3*c + 5*c. Let w(o) = -14*o**2 - o + 3. Let g(z) = c*t(z) - w(z). Calculate -5*g(p) - 8*k(p).\nAnswer: 2*p**2 + p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 15*i + 85. Let j be l(-10). Let z be (-5)\/(-1)*195\/(-15). Is z at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 703 and 259?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -1. Let d = -1467 + 1470. What is the nearest to f in d, 0, 4\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1068976?\nAnswer: 2, 71, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1838444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 6*z + 3. Let r be 6\/1 - z - 0. Suppose r*w - 90 = 12. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4880368 - 420368. Round z to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -16*n**2 + 8*n - 11. Give i(2).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*n**4 - 3*n**4 + n**4 + (-10*n**2 + 7*n**2 - 12*n**2)*(5*n + 2*n**2 - 5*n) as j*n**3 + b*n + l*n**4 + k*n**2 + r and give l.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + -5 + (-3 - -13). Let w be 69\/27 - z - (-6)\/(-27). What is the second biggest value in w, 5, -19?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.101 plus -7810?\nAnswer: -7810.101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eceieecieeemiceimcc. What is prob of sequence ce?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**2 + 9*s - s**2 + 5*s**2 + 4 + 7. Let g be q(-4). Let k be 2\/g - (-38)\/14. Sort 2, -9, k, 4 in decreasing order.\nAnswer: 4, k, 2, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20221.2562 rounded to the nearest 100?\nAnswer: -20200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3405883 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + 0. Let m(u) = -c*u + 4*u + 7*u. Let w be m(2). What is the highest common divisor of w and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (13 - 13) - (0 + 10)) + -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 693.8 plus 2?\nAnswer: 695.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ojooooojoooo. What is prob of sequence oj?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1019565?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -187 + 12a?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4523?\nAnswer: 4523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -134, -1, -2118?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -36711 less than -36711?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -23*w + 74. Give g(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 810224.4 and 0.0062.\nAnswer: 810224.4062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 2\/7 (c) -15 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31aa (base 14) to base 5.\nAnswer: 233303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 195828911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12025 and 44525?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 89.69036 - -0.2.\nAnswer: 89.89036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 4:17 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 17\/324, 1, 6378?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5*(3 + (-82)\/10). Let h = -43 + g. Let b = -4 - h. Solve 4*u + b = -3 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 z when two letters picked without replacement from fbhebzeseeeefes.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - 4*l + 3. Let z = -87 - -83. Calculate y(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.097, -139520, -0.5 in increasing order.\nAnswer: -139520, -0.5, -0.097","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + 4\/((-4)\/(-5)). Suppose 0 = -3*g + 18 + t. Solve 2*h + g = -0*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 3, 13, 10, -23, -1, 5 in descending order.\nAnswer: 13, 10, 5, 3, -1, -10, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 242 and 176?\nAnswer: 1936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11024009317 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5345687239 to the power of 1\/2, to the nearest integer?\nAnswer: 73114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - a = 8, 2*f = 8*a - 3*a + 16. Let z be (11\/(-2))\/(f\/464). Is z\/22*(-1 - 1) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (-13)\/((-91)\/896)*56\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 5:14 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f**2*r**4 + 11*f**2*r + 127*f*r**4 + 7*f*r wrt r.\nAnswer: 24*f**2*r**2 + 1524*f*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*x = -43*x - 10*x + 620592. Is x even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11929.38 - 11635. Round a to zero decimal places.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -5*i**4\/12 - 2*i**3\/3 - 3*i**2\/2 - i. Let l(s) = -4*s**2 - 3*s - 2. Let v(w) = 3*b(w) - 4*l(w). What is m in v(m) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**7\/i)\/((i**(-10)\/i)\/i)*((i**0\/i)\/i)**(1\/50) assuming i is positive.\nAnswer: i**(449\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2702, -2833, -3052, -3359, -3754?\n\"Answer: -44*p**2 + p - 2659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = v - 3, -3*c = -2399*v + 2395*v + 8 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-3))\/(1\/(-3)). Which is the biggest value? (a) 8 (b) j (c) 0 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1987456.21 rounded to the nearest one thousand?\nAnswer: -1987000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.0664937967 to three dps.\nAnswer: -1.066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -129\/2 - -66. Suppose 63*j - 36*j = -128*j + 465. Which is the second smallest value? (a) l (b) -0.1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4c7eac - 2?\nAnswer: 4c7eaa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1274341 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a micrometer in nanometers?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence po when two letters picked without replacement from {p: 4, o: 3}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**(-2\/21)*u))\/u)\/(u\/(u\/(u**4*u)*u)) assuming u is positive.\nAnswer: u**(-124\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x + 4. Let c(u) be the first derivative of u**2 + 41. Give s(c(i)).\nAnswer: 2*i + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h + 8. Let v be d(-3). Let j = 0 + v. Suppose 4*z = -2*o + 152, 4 = 3*z - j. Is o a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/52 and -47\/26?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -970 + 1378. Suppose -41133 + o = -25*j. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -40 + 45. Suppose b*t + 94 - 329 = 0. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 3*u. Let n = -2 + -1. Which is the biggest value? (a) n (b) u (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**3 - j**2 - 9*j + 11. Let l be g(2). Which is greater: l or 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38 + (47 - -6) - -17\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, v: 2, z: 9, l: 2, i: 3}. What is prob of picking 2 z?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 8*t**2 - 8*t + 5. Let n be 1\/(-4) - 50\/(-8). Let c be j(n). Let m = -5 + c. Is 7 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1000 is divided by 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*x + 4 = -3, 2*x = 3*p. Let i(h) = 0*h + 0*h + 2 - h**2 - 48*h**3. Is i(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0.1, 0, -0.09, -15 in descending order.\nAnswer: 0.1, 0, -0.09, -0.2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 4:56 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1629\/5 + -327. What is the third biggest value in -4, a, -1\/8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2049 - 1435. Let j = h + -328. Suppose j = 3*t + 3*w + 19, -t - 2*w = -93. List the prime factors of t.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.027 - 5.827. Let w = d + 6. Let b be -1 + ((-2)\/2 - 0). What is the smallest value in -0.3, b, w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s**3 + 0 + 0 - 2.\nAnswer: -4*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvrgvvgrgvzi. What is prob of picking 1 z and 1 r?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -15. Let t = q + 1. What is the third biggest value in 0.4, 1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -h**8\/8 - 7*h**4\/12 - 7*h - 2. Let p(i) be the first derivative of x(i). Find the third derivative of p(s) wrt s.\nAnswer: -840*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2. Let b(i) = 125*i + 91*i + 142*i - 72*i. Give b(y(j)).\nAnswer: 286*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -14728.59537 rounded to the nearest ten?\nAnswer: -14730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 5:24 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 56*o - 61*o + 250. Let m = 66 - o. Suppose d = 2*s + 2*s - m, -4*d + 21 = s. What is the smallest common multiple of 32 and s?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*w = 36*w - 12 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 427 + -324. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 569*m**4 - 7090*m**3 - 4340*m - 8878.\nAnswer: 6828*m**2 - 42540*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 412564 + 0?\nAnswer: 412564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 6*w**2 - w - 3. What is b(6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**2 - 7 + 7 + (9*t**2 + 36*t - 36*t)*(-1 - 1 + 1) + (0 - 2 + 0)*(-3*t - 2*t**2 + 3*t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50329018?\nAnswer: 2, 25164509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 8, 41.4 in decreasing order.\nAnswer: 41.4, 8, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 4, 5663.\nAnswer: 1, 2, 4, 5663","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (2 - 1 - -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 98, 0.4, 1, 1\/56 in descending order.\nAnswer: 98, 1, 0.4, 1\/56, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(((1*sqrt(1377) - sqrt(1377)) + sqrt(1377))*-4 + sqrt(1377) - (sqrt(1377) - (sqrt(1377) + 2 + -2 - sqrt(1377)) - sqrt(1377))))**2*-1.\nAnswer: -111537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 4*y + 121. Let n(f) be the second derivative of f**3\/6 + 9*f + 10. What is n(x(c))?\nAnswer: 4*c + 121","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 16*i**2 - 9*i - 96. Calculate the lowest common multiple of 10 and g(-7).\nAnswer: 5470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -25304*h + 29124883. Calculate c(1151).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1181287 to the power of 1\/3, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*m**4 - 22*m**2 + 22*m**2 + 4 wrt m?\nAnswer: 40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -r**3\/3 - 7*r**2\/2 + r + 1. Let s be (-10)\/(-2)*(-4)\/(-4). Suppose -3*z - k = 15, -z - k + 2 = s. Calculate a(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 13, 1, -2, -9, -0.3 in decreasing order.\nAnswer: 13, 1, -0.3, -0.4, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**5*o*o))**(2\/33) assuming o is positive.\nAnswer: o**(-14\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 28230180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.44 + -8.28. Which is greater: 4 or m?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z - 8. Let l(s) = -2*s**2 + 22*s + 176. Let r(y) = -66*b(y) - 3*l(y). Let q(j) = 2*j**2 - 17. Determine r(q(h)).\nAnswer: 24*h**4 - 408*h**2 + 1734","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 32?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227 is divided by 43?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/12 and -18\/1359301?\nAnswer: 16311612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9429 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - -1*(20 + -1). Let s be 27\/w + 2\/(-7). Solve 0 = 2*d + s - 7 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-198)\/4)\/((-14)\/112).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7167785 + -5?\nAnswer: -7167790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 5*z - 9*z = 44, 5 = -k + 5*z. Solve 4*y = -0*y - w - k, -30 = 2*y - 4*w for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 8*d - 1. Let o(t) = t**2. Let i(a) = -a**3 + 7*a**2 - a - 1. Let z(b) = -i(b) + 4*o(b). Let h be z(3). Is u(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-36)\/24 - (-10)\/4. Are -59 and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/(-8))\/((-120)\/240*9\/(-12)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 591671?\nAnswer: 41, 14431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*z)*(1105 + 1513 + 12539).\nAnswer: -30314*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**4\/2 + 3*o**3\/2 - 12*o**2 - 14*o + 24 = 0.\nAnswer: -6, -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 2\/176661?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4996 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 5*j - 167, -d - 4*j + 116 = -8*j. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a + 119. Let c(i) = -9*i - 14. Let z(s) = -4*s - 6. Let d(b) = -3*c(b) + 7*z(b). Calculate j(d(p)).\nAnswer: p + 119","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(-15) - 34\/5. Let h be (-5 - g)\/((-4)\/(-16)). Solve -12 - 8 = h*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2599 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -9*f - 241. What is x(-24)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1363 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 51 - 32. Suppose 7*n - b + 5 = 0. Let d(x) = 8*x - 3. What is d(n)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 15 = 0, -9*l - 298 = -3*b - 379 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i + i - 5*i - i - i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 4. Is 15*(2 - c - -4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1299 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -4*g + 1. Let d = -17 - -20. Calculate the remainder when s(-2) is divided by 3\/(-9) - (d + (-76)\/12).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, 2\/15, -2\/9, -84\/11, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30891925619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 13*c**3\/4 - 27*c**2\/2 + 2*c = 0. Calculate c.\nAnswer: 0, 2\/13, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 12107?\nAnswer: 12107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 142983497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-2)*12\/(5 + 1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -288*g + 579*g + 3*h - 78 = 288*g, g - 2*h + 61 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/296384 and 51\/87568.\nAnswer: 3852992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of 7*x**3\/3 + 1. Let p(l) = -15945*l + 5323*l + 5323*l + 5311*l. Calculate p(b(n)).\nAnswer: 84*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 36 = 2*s. Let k be (-2)\/s + (-18)\/81. Solve a = -k*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + o = 6. Suppose 5*d - 2*n - 5 - 4 = 0, 0 = -d - 3*n - 5. Let j = d + o. What is the smallest value in j, -6, -1\/5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5505771 * 5.\nAnswer: 27528855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -341, -3, 2, 8474.\nAnswer: -341, -3, 2, 8474","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 + 1. Let z(h) = 49*h**2 + 4*h + 7. Let n(u) = -c(u) + z(u). Let y be n(-3). Suppose y - 111 = 5*a. What are the prime factors of a?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 14*g**2 - 13*g + 1. Calculate the smallest common multiple of ((-5)\/(-20) + -1)\/((-4)\/16) and f(13).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 6*b = b - 89, 0 = -4*w + 2*b + 100. What is the remainder when 164 is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 54\/90 - (70\/(-25))\/2. Calculate the greatest common divisor of 29 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2 + 3 + 13347*v**2 + 22887*v**2 - 679*v**2. Let y(b) = b**2 - 1. Let l be y(-2). Let m be a(l). Round m to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7864?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 501206 by 2.\nAnswer: 250603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 3486 divide 40611846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -30*z**2 - 302*z - 12. Let r be l(-10). Solve -37*f + 35*f - 2*a - r = 0, -5*f + 5*a = 50 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3*c + 33 = 0, -5*d + 32 = -d + 2*c. Solve -d = -7*l + 26 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -3. Let l be (8\/(-12))\/(742\/(-186) + 4). Let u = x - l. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*u - 9 = 0, -u + 137 = 5*t + 2*u. Calculate the remainder when 72 is divided by t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41017*b + 73*b**3 + 123012*b - 40996*b - 40999*b.\nAnswer: 73*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 381.9352ug to nanograms.\nAnswer: 381935.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 348388041?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, -5, 631, 3 in descending order.\nAnswer: 631, 3, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -22270, -22266, -22266, -22276, -22302, -22350, -22426, -22536?\n\"Answer: -t**3 + 4*t**2 - t - 22272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 364 + 681. Suppose 5*w = -0*w + l. Let v be ((-1)\/(-3))\/(2\/114). What is the greatest common divisor of v and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 112702221 to the nearest integer?\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 983796, 974270, 964732, 955176, 945596, 935986, 926340?\n\"Answer: -x**3 - 9519*x + 993316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010111021 (base 3) in base 5?\nAnswer: 1202403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 107*u**3 - 15*u**2 + 7*u - 8. Let i(j) = -54*j**3 + 9*j**2 - 4*j + 5. Give -3*h(y) - 5*i(y).\nAnswer: -51*y**3 - y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17597801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, t: 9}. What is prob of sequence tt?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 8*s**2 - 77 + 41 + 36 + 4*s**2. Let v(u) = u - 2 - 1 + 3. Determine a(v(c)).\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9755369, -9755367, -9755365, -9755363, -9755361, -9755359?\nAnswer: -9755357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -4.738\nAnswer: -23.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 549.1677s to minutes.\nAnswer: 9.152795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a hour in seconds?\nAnswer: 53100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 13*p**2 - 42*p - 1. Calculate k(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -73831, 6\/7, -0.021 in descending order.\nAnswer: 6\/7, -0.021, -0.3, -73831","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 4*s**2 + 4*s + 3. Let j be f(-2). Suppose -10 - 8 = -j*d. Let b be ((-2)\/(-1))\/((-2)\/(-66)). What is the highest common factor of d and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2692, -10575, -23644, -41899?\n\"Answer: -2593*r**2 - 104*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*l + l - 2*l)*(30*l + 20*l + 55*l) + 7*l**2 + 32 - 32)*(2 - 2*l - 2).\nAnswer: -434*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 5*c = 5*x - 10, -3*x - 4*c = -2. Is x even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 1378288?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 35 - (9\/3 - 3). Suppose -5*d = -10*d + v. What is the greatest common factor of 28 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1877*z**2 - 2120*z wrt z?\nAnswer: 3754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -974, -1891, -2808, -3725, -4642?\n\"Answer: -917*n - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 6\/17, -4\/327, 0.811?\nAnswer: 0.811","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/70*(-41 - -5). Suppose 0 = -3*t - 12 + 3. Which is bigger: r or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(4\/3))\/m**5)\/((m*m\/(m\/m**(-5)))\/m**(3\/4)) assuming m is positive.\nAnswer: m**(-7\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {j: 3, y: 4, m: 11}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 42 = -4*p - 2 - 19 + 70, 0 = -4*i + 7*p - 121 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 + -22.5. Let h = v - 7. Let l(y) = y**3 + 4*y**2 - 6*y - 5. Let b be l(-5). Sort -0.4, h, b in decreasing order.\nAnswer: h, b, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1316919*b**3 - b**2 + 2937800 wrt b.\nAnswer: -7901514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1548)\/645)\/((9\/(-260))\/3). Calculate the greatest common factor of i and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*d + 168*d**2 - 12*d - 17*d - 1734*d**2 to i*d**2 + t*d + v and give i.\nAnswer: -1566","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (44 - 1) + -17 + 27 + (-48 - -39)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0590991963 rounded to 3 dps?\nAnswer: -0.059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 3*p - 2086, -2106 = 2*q - 4*q + 2*p. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and -1616751900.\nAnswer: -1616751895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**8*g\/g**4)**(-45))**(-1\/15) assuming g is positive.\nAnswer: g**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -s + 18*s. Suppose -36 = -4*y - v, -y - 5*v + 45 = 4*y. Let u = 11 - y. Solve s = u*f + f - 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 95 and 76.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/11209 and -59\/99?\nAnswer: 100881","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -159830 rounded to the nearest 1000?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 83?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - -3. Let p(c) = c + 10. Let j be p(0). Let k = -4 + j. What is the remainder when z is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*n**5 - 13788*n**4 + 261744*n**3 - 1653380*n**2 - 41154*n = 0 for n.\nAnswer: -3\/121, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 274 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 3*p - 37 = 0, 4*w - 4*p = -0*w + 36. Suppose 0 = -5*t + 5*j + 25, -2*t - 3*j + w = -t. Let n be (-70)\/8 - t\/20. Is 0.1 at most as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p**3 - 18375*p**2 - 73395*p + 91775 = 0.\nAnswer: -3671, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204 = 3*p - 55*q + 60*q, 0 = -p + q + 60. Calculate the highest common factor of 7 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 9 = -2*m. Let i(f) = 2*f**2 + 6*f - f**2 + m + 3. Is i(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-320)\/96*(-6)\/(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 802 + -799. Put c, 3\/7, 0.02 in ascending order.\nAnswer: 0.02, 3\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1172 and 23.4.\nAnswer: -27424.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2049239 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/2992102 and 77\/8?\nAnswer: 11968408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 12:33 AM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8)\/22 + 441265\/605?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h = 12*h. Sort h, 1, -3 in ascending order.\nAnswer: -3, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.02, 6\/17, 2\/5, -4 in increasing order.\nAnswer: -4, -0.02, 6\/17, 2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 99124 * 11.\nAnswer: 1090364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 4*a**2 - a - 3 + 2 - 2*a**2. Let v be 4\/(-6) + (-16)\/(-6). Let w be g(v). Sort w, 0.3, 2 in ascending order.\nAnswer: 0.3, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*6.8\nAnswer: 3.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 872.425 - -7.8719\nAnswer: 880.2969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -3*c**5\/5 - 249*c**4\/5 - 4734*c**3\/5 + 3990*c**2 + 68241*c\/5 - 16641 = 0.\nAnswer: -43, -3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {g: 11, y: 9}?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34445944*k**5 - 900110*k**2 + 4*k.\nAnswer: 2066756640*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27904 and 60604.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*c**3 - 17*c**3 - 7*c**2 + 30*c**3)*(-3*c - 2*c + 4*c) + 2*c**4 - 2*c**4 - c**4 + (c**3 + c - c)*(-2*c + 2*c + 2*c).\nAnswer: -2*c**4 + 7*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1536945 and -23.907.\nAnswer: -1536968.907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4702, -37576, -126824, -300640, -587218, -1014752?\n\"Answer: -4699*r**3 + 7*r**2 - 2*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1381 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 154*h**3 - 20*h**3 - 75 + 95.\nAnswer: 134*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 g when three letters picked without replacement from {k: 2, x: 4, g: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 141126899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 174311888?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1648 by 412.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 8 = -y, 3*y - 16 = 152*w - 154*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2 - 14*u**3 + 4*u - 4441*u**4 + 46*u + 2 + 4440*u**4 - 35*u**2.\nAnswer: -u*(u - 1)*(u + 5)*(u + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 18*x - 11. Let s be m(19). Suppose s*o - 55 = 41. Suppose -242 + 104 = -3*h. What is the remainder when h is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -51495?\nAnswer: 10299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-468)\/198)\/(96\/(-88) + 1) + 10.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 1563 = 5*l, -2*r + 0*r + 937 = 3*l. What are the prime factors of l?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3684*h - 1309 = -3761*h for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -4*o**3\/3 + 2876*o**2\/3 - 485440*o\/3 - 3833200 = 0.\nAnswer: -21, 370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.21185 and 21.\nAnswer: -4.44885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18\/42 - 10\/56. Let r = 25 + -18. What is the third smallest value in 2\/9, r, z?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/1 + 2 + (-54)\/6. Let o be (3 - 0)\/3*j. Let l(r) = -r**3 + r**2 + r. Let w(a) = -8*a**3 + 6*a**2 + 7*a - 2. Give o*l(v) + w(v).\nAnswer: -2*v**3 + v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -234925 + 316*n**3 + 234925 - 3*n.\nAnswer: 316*n**3 - 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 11*n - 52 = 0. What is the nearest to 0.01 in n, -4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -75 + 99. Is l a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 1:05 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 135\/4 - 59\/2. Let t = -9857\/11 - -894. Find the common denominator of j and t.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6380369 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -4*v - 1, 12*v = -3*f + 7*v + 8. What is the remainder when 0\/13 + (f - -192) + 1 is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5, 17, 67, 157, 299, 505, 787, 1157?\n\"Answer: 2*o**3 + 2*o**2 + 2*o - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 12:50 AM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12233 - 12231.2. What is the fifth smallest value in 1\/5, 4, 3, -1, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14 + 179c?\nAnswer: 1788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -612.32 + 23.297?\nAnswer: -589.023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -612*r + 650*r = -114. Put r, 7, -1\/4, -0.3, -1 in descending order.\nAnswer: 7, -1\/4, -0.3, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from 29650.\nAnswer: 29649.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 594*l**3 + 2*l**2 + 5*l + 4. Let s be y(-1). Let b = s - -602. Solve -b = -8*n - n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/54*(-32)\/(-2)*(-77)\/(25872\/252)?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22526 in 2\/5, 5, 0.1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -109. Calculate the smallest common multiple of w and (-1)\/15 - (21126\/(-315) + 63).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 divided by -7.\nAnswer: -36\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 65*g - 54*g. Solve s - 3*s - g = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 307 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 16*f - 5*f**3 + 3 + 0*f**3 + 9*f**2 + 4*f**3 - 17. What is the remainder when k(10) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**3 - 14*b - 16*b**2 - 11*b - 8 + 30*b - 5*b.\nAnswer: -b**3 - 16*b**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/236 and 24\/413.\nAnswer: 1652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36391*b - 36401*b + 50 = 0, 0*a + 15 = a + 2*b for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 3 + 2 + 1 + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 4*j - 3*k + 408, -j - 106 = 5*k. Let r = j - -210. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 2 - 3 + 0 + 6 + 3 + 1 - 6 + (-2 + 1 - 1)*(-3 + 3 + 1) + 1 + 4 - 3)*(-6 + 14 + 19)*(g + 2*g + 0*g).\nAnswer: 243*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i - 1. Let m be x(7). Let v = -10 - m. Let z(f) = -3*f**2 - 2*f - 2. Let h(w) = w**2 + 1. Determine v*h(c) - z(c).\nAnswer: c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -115*g - 342. Let s be l(-3). Let c(r) be the first derivative of 1\/22*r**4 + 2\/33*r**s - 2\/55*r**5 + 0*r - 1\/11*r**2 - 15. Factor c(n).\nAnswer: -2*n*(n - 1)**2*(n + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(405)*2 + -5 - (sqrt(405) + -1 + 5)) + (-2 + sqrt(405) + -1 + sqrt(405) + sqrt(405) - sqrt(405))*-3)**2 + -4.\nAnswer: 40496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - -2 - (-1 + -6 + 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7905527 to the power of 1\/3, to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three tenths of a century?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2273?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*c = -67*c - 5*t + 6805, 4*c - 5409 = 3*t. Let x = c + -1242. Determine y so that -26\/3*y**4 - 144*y - 134\/3*y**3 - 2\/3*y**5 - x*y**2 - 72 = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**16*a*(a\/(a**(2\/5)\/a))\/a*a)\/((a\/((a*a**(2\/19)\/a)\/a*a))\/(a**(-2\/37)\/a)) assuming a is positive.\nAnswer: a**(58529\/3515)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 447929894?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -356169 (base 11) to base 5.\nAnswer: -121031130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2780.\nAnswer: 2, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20\/3 - -19534\/2931. Let v = 472854\/6839 - m. Let o = v - 69. What is the third biggest value in 0.3, 0.2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -172 - -388. Let s = r + -119. Let f = s + -30. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c - 1. Let l be w(1). Sort -4, 0, l.\nAnswer: -4, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of 7*k**6\/120 - k**5\/20 + k**4\/6 - 2*k**3\/3 + 11*k**2. What is the remainder when 140 is divided by q(2)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, p: 2, z: 3, g: 1}. What is prob of picking 2 p, 1 z, and 1 g?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 11900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 81*v**2 - 43*v**2 + 0*v + 0*v. Let i(n) = 5*n**2 - 7*n - 3*n + 10*n. Calculate z(i(p)).\nAnswer: 950*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27 + -2 + (0\/4 - 2))\/(510 + -511)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -4, 0 in ascending order.\nAnswer: -4, 0, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -2, -2\/13, 6\/5, -4.\nAnswer: -4, -2, -2\/13, 0.2, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-15\/8))**(-4\/23) assuming k is positive.\nAnswer: k**(15\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -57\/44 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 270863 a multiple of 439?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 123336395 and 70.\nAnswer: 246672790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5827377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3*d**3 + 6*d + 3. Suppose 7 - 25 = 3*g. Let j(b) = -7*b**3 - 11*b - 5. Let a(l) = g*j(l) - 11*v(l). What is the derivative of a(t) wrt t?\nAnswer: 27*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hr when two letters picked without replacement from sfhnsnufr?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + 40*y + 120. Let d be v(43). Let t(u) = -17*u - 82. What is the remainder when 422 is divided by t(d)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(833) + 1 + (0 + sqrt(833))*3 + -2 - (4 + -6*-4*(2 + sqrt(833))))**2.\nAnswer: 14000*sqrt(17) + 335700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -298 - -296.33. Let o = -0.92 - z. Let c = -4.55 + o. Round c to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -f**7\/42 - f**6\/24 + f**5\/12 + 5*f**4\/24 + 49*f**2 + 2*f. Determine q, given that g(q) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 3426 = -3*q + 3402, 4*c - 42*q - 488 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 4 = t. Suppose -2*s = 4, -3 = -3*p - t*s - 1. Let u = -701 + 715. What is the remainder when u is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4017111 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -121132*k**2*r**3 + 84*k**2*r - 2*k*r**4 - 2*k*r**2 + k*r - 36*k - 129*r**2 wrt r?\nAnswer: -726792*k**2 - 48*k*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/356841 and -26\/180339?\nAnswer: 16771527","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 410 a factor of 17819830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -73505394.\nAnswer: -73505394, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/13, -2\/3, -7, -1\/4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = y - 17, -3*n - 11 = 5*y - 48. Suppose -4*i + 37 = -5*z, -2*z = 2*i - 5*z - 21. Suppose -i*h = 3*w - 6*h - 21, -n*w + 73 = 5*h. Does 6 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3996906*z**4 - 118*z**2 + 10*z + 34?\nAnswer: -95925744*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-30))\/(256\/320)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and -331.\nAnswer: -330.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31*f**5 + 400*f**2?\nAnswer: -1860*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -644*h**2 + 78*h*q**2 + 2*h*q + 545709*q**2 wrt h.\nAnswer: -1288*h + 78*q**2 + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)*3 - (-1 + sqrt(50)).\nAnswer: 1 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*m - 41 + 41 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in -47.6, 134\/19, 4?\nAnswer: 134\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2799744791.\nAnswer: 19, 147354989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*c*h*v - 94*c*v**3 - 2*c + 90*h*v**3 - 28*h*v + 8*v wrt v?\nAnswer: -564*c*v + 540*h*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 52244887 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -6*s - 24 - 12*s**5 + 13*s**5 + 31*s. What is the derivative of y(k) wrt k?\nAnswer: 20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146 = -2*z + 36. Let m be 182598\/z - (-8)\/(-14). Suppose -4*j - 713 - 1268 = -3*t, -m = -3*t - j. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 20, 25, 30, 35?\n\"Answer: 5*d + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5455231 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 4 + 1)*(0*p**2 + p**2 - 2*p**2) + 2 - 2 + 2*p**2)*((-3*p + 2*p + 2*p)*(-2 + 2*p + 2) + 3*p**2 - 2*p**2 + p**2).\nAnswer: 20*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 207888.5 rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192*r**3\/7 - 816*r**2\/7 + 99*r - 135\/7 = 0. Calculate r.\nAnswer: -5, 3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -2, 1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000136403 rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 27\/(-15) - 336390\/(-186925). Is z at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*k + 8269 - 8269 - 110*k - 28*k.\nAnswer: -221*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 116 or 115?\nAnswer: 116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -2936*i + 2938*i. What is the greatest common divisor of 153 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.47 rounded to zero decimal places?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -8580 divided by 2?\nAnswer: -4290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l + 7. What is the lowest common multiple of ((-90)\/15)\/(3\/(-2)) and c(0)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-1)*(-175 + 32568\/184)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -3 (b) -0.5 (c) 1\/2 (d) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, c: 3, h: 1, w: 1, d: 1}. What is prob of picking 1 m, 1 h, and 1 w?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 5*f**2 - 7*f - 1. Let x be a(5). List the prime factors of 15\/(-6)*x\/10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3684 or -3682?\nAnswer: -3682","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -19 + 10 + 24 - (0 - 26)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.5, 310, 2\/19, -434?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.7 - -0.7. Let p = 2.84 + -3. Let d = p - 0.04. Which is the closest to d? (a) 3 (b) u (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0263 + -67.6537. Let g = z - 0.32. Let v = g + 59.8. Round v to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w + 37 = -71. What is the smallest common multiple of w and 248?\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/(195\/(-40))*(-3)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-12)\/15 + 10752\/40 is divided by 39?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.13, 37, 0, -5\/2, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-288)*-4*(-4)\/(-6)*(-5)\/10?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 24514, 196134, 661960, 1569094, 3064638, 5295694, 8409364?\n\"Answer: 24517*d**3 + d**2 - 2*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 1 + -3 + 7 + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {e: 2, x: 11}?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 475976180, 475976178, 475976176, 475976174, 475976172, 475976170?\n\"Answer: -2*c + 475976182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c - 313 - 327 + 608. Let g be f(-13). Suppose -4*h + 0 + 8 = u, 2*h = 4*u + 4. Which is smaller: g or h?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*t + 4*t + 0*t)*(t + 2 - 2)*(201 - 95 - 102)*(3*t - 7*t + 3*t) as o + k*t**2 + l*t + a*t**3 and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.035, 1\/4, -24\/41, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + 1)\/(13\/2). Suppose 2*s + 1 + 1 = 0. Let y be s\/(2 + 7\/(-3)). Which is the smallest value? (a) y (b) -5\/4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 229649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.987 - 4.987. Which is the smallest value? (a) 0 (b) -2\/13 (c) -5 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 3. Let j = 49577 - 49583. What is the third biggest value in u, j, -3\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20667 (base 10) to base 11\nAnswer: -14589","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (14\/63)\/((-2)\/(-3)). Let s be (-8)\/10*(-161)\/(-644). Let p = 0 - 0.3. Which is the closest to d? (a) s (b) p (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -69000 + 69000.8. Let a = -13 - -8. Sort r, 0.3, -2, a in increasing order.\nAnswer: a, -2, 0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(475))**2 + 0 + sqrt(19) + 5)*-4.\nAnswer: -2020 - 204*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 33 = -3. Suppose 0 = -3*g - 3 + l. Are g and 2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(3\/7)*z*z)**25*(z**17\/z)**(-1) assuming z is positive.\nAnswer: z**(313\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -9*s - 27. What is the remainder when c(-5) is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1431271689 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4299*l + 4347*l - 7*l**2 - 11*l**2 wrt l.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -419, -417, -415, -413?\nAnswer: -411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kyyy when four letters picked without replacement from {k: 15, y: 3}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**3 + 2*y**2 - 669*y + 2006. Let t be m(3). Calculate the highest common divisor of t and 25631.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/153*(-564)\/(-96). Let u = 5\/34 - d. Which is smaller: u or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 72 - 40. Let m = 34 - c. Suppose -5*a + m*a + 9 = 0. Calculate the greatest common divisor of a and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + 21 + -7 - 4?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/2 - 254753*q**2 + 2547492*q - 6113952.\nAnswer: (q - 509496)*(q - 6)*(q - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 105?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15\/(5\/(20\/3)). Suppose 16*p = 21*p - l. Suppose p*q - 6*q = 2. Put 4, 3, q in descending order.\nAnswer: 4, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 - -21. Solve -p + 1 = -n for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a week in minutes?\nAnswer: 1008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 105 + -122. Let k be (c + 10)\/((-1)\/(1*4)). What is the third derivative of 6*p**6 + 3*p**6 - k*p**2 - 9*p**2 wrt p?\nAnswer: 1080*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, 0.3, -1\/3, 7921.9 in increasing order.\nAnswer: -1, -1\/3, 0.3, 5, 7921.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 340 - 177. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 x when four letters picked without replacement from wwxxwxw.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**2 + 3*a**2 - 5*a**2 + (-2*a - 2 + 3 - 3)*((5*a - 3*a + 0*a)*(33 + 6 + 3) - a + 0 + 0) to m*a + j + q*a**2 and give q.\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a hour in seconds?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7)\/72 - 2\/(-9). Let r = 149 - 149. What is the second biggest value in -17, r, t?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1068206707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 117 and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1508536.\nAnswer: 2, 101, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1134 smaller than -1135?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of -i**4\/12 - 7*i**3\/6 - 3*i**2 + 49*i. Determine q so that n(q) = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-32)*35\/(-14)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*g - 0*g - r, -3*r = -12. Let a be 78\/13*10\/4. Let j be (a\/(-3))\/((-5)\/5). Solve -4*k + o = -6, -j*o = -k - g*o - 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-6 - (0 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - -2. Let w(c) = 3*c - 10. Let f be w(b). Find the second derivative of -3*m + 3*m**3 - 14 + f wrt m.\nAnswer: 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 5*d**2 + 7*d - 2. Let t be i(6). Let n be (-16)\/t + -4 + 41. Let g = -30 + n. Put -4, g, 5 in descending order.\nAnswer: 5, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 441, 431, 415, 393, 365, 331?\n\"Answer: -3*y**2 - y + 445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*r - 43*r = -2*h + 1379, -r = -h + 697. Is 39 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2*(((4*sqrt(91)*3 - sqrt(91)) + sqrt(91))\/(sqrt(84)\/sqrt(3)) + 4).\nAnswer: -12*sqrt(13) - 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-19)\/38*(-8)\/2. What is the first derivative of -12*s**2 + 31*s**2 + 58 - 6*s**m - 8*s - 10*s**2 wrt s?\nAnswer: 6*s - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12614 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.41 to 1 decimal place.\nAnswer: 9.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*q - 7788 = -5*d - 79*q, -d = -5*q - 1566. Calculate the least common multiple of 8 and d.\nAnswer: 3112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 5*f + 3*f - 5*f. Let i(p) = 2*p. Give y(i(t)).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*-1*325\/50. Is b greater than -94\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - a2?\nAnswer: -9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 4*t - 6 = 0, -18 = x + 3*t + 2*t. Suppose 0 = z - 3*l - l - 18, 5*z + l = 6. Factor -3*w**2 + w**4 - 2*w**4 + w**z + w**2 - x*w**3.\nAnswer: -w**2*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 678859\/30 + -22623. Find the common denominator of k and -61\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, u: 2, s: 2}. Give prob of picking 1 u and 1 s.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/((-10)\/(-8))*(-3)\/16?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13840648000 rounded to the nearest one million?\nAnswer: 13841000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 9*a**2 - 11*a + 14. Let r be z(10). Suppose -3*g - 2 + 14 = 3*s, 4*s = -20. What is the remainder when ((-2)\/r)\/(1\/(-50)) is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/7 + 1210932*d\/7 - 183294538578\/7.\nAnswer: -2*(d - 302733)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 140 + -245. Let i = 149 - p. List the prime factors of i.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 19110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63227a (base 11) to base 7.\nAnswer: 11416665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41 + -23. Let k be (v\/(-15))\/((-2)\/5). Let h(z) = -3*z**3 - 3*z**2 - 3*z + 7. Let p(c) = -c**3 + 1. Let n(q) = h(q) - 4*p(q). Calculate n(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.400298 weeks to minutes.\nAnswer: 14115.00384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17588896.\nAnswer: 2, 13, 42281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/9 (b) 2\/1889 (c) 4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 5*t**3 - 22*t**2 + 101*t - 82. What is the remainder when f(10) is divided by 113?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of 0*v**6 - 12*v**2 + 0*v**4 + 0*v**5 + 0*v - 2\/105*v**7 + 0*v**3 + 0. Find q, given that o(q) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-724)\/(-6)*(-2 - -6980). Suppose -2*n = 3*g + w, 0 = -3*n - 2*n + g - 2104996. Round n to the nearest 10000.\nAnswer: -420000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 104.1 - 100. Let x = 149429 - 149434. What is the closest to -1\/4 in 2, g, x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 313703018*u**2*z - 5*u*z + 7687442*u wrt u.\nAnswer: 627406036*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 4*h - 24. Let f be w(4). Let n(d) = 2*d + 16. Let r be n(f). Let k be -1 - (-6 + -1 + 1). Sort 3, k, r.\nAnswer: r, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 285 and 29127?\nAnswer: 145635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -22998, -22960, -22926, -22896, -22870, -22848?\n\"Answer: -2*v**2 + 44*v - 23040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*2*(-2)\/24?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 k when two letters picked without replacement from rrrrrkkrrk.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, s: 2, c: 1, i: 6, j: 1, h: 4}. Give prob of picking 2 s, 1 c, and 1 h.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(735) - -4*sqrt(135))\/(2*sqrt(45)*-1) + 5.\nAnswer: -5*sqrt(3)\/6 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 26 = -8. Let a = 48 + y. 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: Does 33 divide 396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76.97925 kilometers to meters.\nAnswer: 76979.25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 AM and 4:55 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 530901196 to the power of 1\/2, to the nearest integer?\nAnswer: 23041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (57903 + 113*d - 57902 + 303*d)*(-d + 2*d - 3*d).\nAnswer: -832*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g*g**(1\/4)*g)\/g*g**(2\/23) assuming g is positive.\nAnswer: g**(307\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uxqxdqxuqx. Give prob of sequence xqu.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f + 10*f**3 + 0*f**2 + 2*f**4 + 7*f**2 - 6*f**2 - 11*f**3 in the form k*f + i*f**4 + w*f**3 + g + s*f**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -20*7\/(-392)*(-1144)\/(-110)*-7\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*x - 25 + 616 - 62 for x.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23.94 + -0.06. Let g = -26 - r. Let q = -3.1 + 0.1. Which is the closest to 0.1? (a) g (b) q (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -5335*c - 5. Let h be t(-3). Round h to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 11 - 16 = -r, -2*f = r + 9. Let k be (8\/f)\/((-22)\/24). Let x = 14\/11 - k. What is the second smallest value in 1, x, 2\/3, 5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/4 - (15 + 756\/8 + (-10 - -6))?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 475 + -209408?\nAnswer: -208933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + 66. Let o = q - 105. Let m = o - -24.0000141. What is m rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 197815*c + 0 - 197816*c + 0 + 16*c**2. Let g(u) be the first derivative of u**2 - 1. Give g(i(k)).\nAnswer: 32*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 231375359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(520)\/sqrt(360))\/(-1*sqrt(256) + sqrt(4)) + -2 + -1*sqrt(832) + -5 + 5 + (sqrt(832) - (sqrt(832) + -1)))**2.\nAnswer: 337*sqrt(13)\/21 + 1478161\/1764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 PM and 10:56 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 147\/6*(3 + -1). Let i = 2105 + -37909\/18. What is the common denominator of (4 - 1) + y\/4 and i?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24785.\nAnswer: 5, 4957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/(250\/152) - (-4)\/5?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -5. Suppose 3*u + 113 = 4*h, 5*h = -j*u + 136 + 44. List the prime factors of (-30)\/(-4)*h\/20.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13.19 - 13.1061. What is o rounded to 3 decimal places?\nAnswer: 0.084","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42970 minus -12?\nAnswer: -42958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/3 - 22*q + 168.\nAnswer: 2*(q - 21)*(q - 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -12\/31 (b) 0.02 (c) -1\/522 (d) -0.4 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30 + -242232110?\nAnswer: -242232030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4613044, -4613045, -4613046, -4613047, -4613048?\n\"Answer: -k - 4613043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 185265715?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -939\/51170 - 4\/1505. Let i = 5261\/1190 + a. Factor -6\/5*q**5 - i*q + 4\/5 + 48\/5*q**2 - 52\/5*q**3 + 28\/5*q**4.\nAnswer: -2*(q - 1)**4*(3*q - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-12635)\/76)\/(-35))\/(1\/2*(-17)\/(-68)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 6:50 AM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -43*x - 286. Determine d(-7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217732 + 141020 = 8879*o - 102956 for o.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 338 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -302331 + 30002?\nAnswer: -212323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 1 + 9*f**3 + 3*f**3. Suppose w + 0*u + u - 7 = 0, 5*u = -w - 5. Let i(n) = n**3 - 11*n**2 + 10*n - 1. Let d be i(w). Calculate h(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.6 + 13.6. Which is the second biggest value? (a) n (b) 4 (c) -62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 137\/14 + -51\/7. What is the closest to 0.25 in -2\/9, -5\/6, x?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-9) - (8 + 100\/(-15))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 38*y**3 - 1. Let c be h(1). Suppose 7 = t - 4*u, 4*u = -6*t + t - c. List the prime factors of t\/((2 + -3)\/1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p - 8. Give d(-11).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 30, 0 in decreasing order.\nAnswer: 30, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 3) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 357704 divided by 488\nAnswer: 733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-13)\/((-845)\/1835) + 15\/(-65). Solve 0 = 2*r - 1 + 5, 5*v - 4*r = d for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k + 1. Let w(p) = -p + 1. Let h(f) = 4*w(f) + y(f). Determine h(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 4*k**2 + 3*k - 8. What are the prime factors of q(-4)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2742*h**4 - 2*h**3 - 1082*h?\nAnswer: 32904*h**2 - 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 + 131423233310?\nAnswer: 131423233243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.126331 times -356?\nAnswer: -44.973836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/6*15\/(-5). Let l(h) = 8*h - h - 2 + c*h. Let k(a) be the third derivative of 5*a**4\/24 - a**3\/6 - 3*a**2. What is 7*k(t) - 4*l(t)?\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**5\/9 + 442*k**4\/9 + 7748*k**3\/3 + 41852*k**2 + 66594*k - 111078 = 0. What is k?\nAnswer: -153, -33, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211 - -100?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-18))\/((-1836)\/(-4131))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*(-1*sqrt(396) + -4 - sqrt(396)*-2*6) + -2*(-5 + 4 + (sqrt(396) - (sqrt(396) + (1 + sqrt(396) - sqrt(396)) + sqrt(396)))*-2))**2.\nAnswer: -51984*sqrt(11) + 5147860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -111 + 165. Let v be 2 - z\/(-24)*-1. Let d = 0.08 + 0.32. What is the closest to v in -10, d, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 35.5, -1.\nAnswer: -2, -1, 35.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1243800 to the power of 1\/2, to the nearest integer?\nAnswer: 1115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffeeffffefeffefffff. What is prob of picking 4 e?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k**4 - 59855*k**3 + 91666425*k**2 - 183153265*k + 91546700 = 0.\nAnswer: -13345, 1, 1372","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 613344 (base 10) to base 8.\nAnswer: 2255740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 44, -4, -27 in increasing order.\nAnswer: -27, -4, -1, 3, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, a: 4, n: 6, e: 2, i: 1}. Give prob of picking 2 a.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -595522, -595512, -595502, -595492?\n\"Answer: 10*t - 595532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 88, 1, -4, -1 in decreasing order.\nAnswer: 88, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from vyy.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, s: 2, b: 1, n: 1}. Give prob of sequence nbpp.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 9*t = -399. Let j = t + 90. Calculate the least common multiple of j and 3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h + 2. Let d(s) = s**2 + 57*s + 14. What is 2*d(y) - 14*x(y)?\nAnswer: 2*y**2 + 128*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of -2*b**7\/21 + 2*b**6\/15 + b**5 - 5*b**4\/3 - 8*b**3\/3 + 8*b**2 + 17*b. What is r in y(r) = 0?\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + -3 - -2) + (-2 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 75*n**2 + 2. Let o(t) = -13*t. What is o(a(v))?\nAnswer: -975*v**2 - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z + 6495*z**3 + z - 12991*z**3 - 4*z + 6489*z**3.\nAnswer: -7*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -307 - -467. Does 5 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of 11*v**6\/120 - v**3\/3 - 5*v**2. Differentiate o(k) wrt k.\nAnswer: 33*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 622450 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 11) in base 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nxx when three letters picked without replacement from xnxxxxnnxn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*o = 33*o - 675. What is the highest common factor of 15 and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of 8*s**3\/3 - s + 1. Let p(i) be the third derivative of 0*i + 3*i**2 - 1\/60*i**5 + 0*i**3 + 0*i**4 + 0. What is n(p(f))?\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170*p - 159*p = -11 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3308)\/(-3542))\/((-19)\/(19\/2)). Let i = -7017\/577829 + -1\/3589. Let h = q - i. Calculate the common denominator of h and -131\/48.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 4*a**2 + 3*a + 4. Let z be t(3). What is the greatest common divisor of z and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**3 + c**2 + c + 1. Let a be s(-1). Let u(h) = h**2 - h. Let x(v) = -v**2 + 2*v. Determine a*x(g) - 3*u(g).\nAnswer: -2*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5617246 and 4.\nAnswer: -5617242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004175 to 4 decimal places.\nAnswer: 0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 84376640837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.24 or 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d - 5. Let p be k(5). Let q = -6 + 5.8. Let f = -0.6 - q. What is the smallest value in -0.1, p, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -55042304 or -55042301?\nAnswer: -55042301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 9*n + 1. Let x be o(2). Let q(f) = 2*f**2 - 16*f + 102. Let c be q(13). Suppose 2*t - c = -5*r, 4*r = -t + 169 + x. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4444808 divided by -6.\nAnswer: -2222404\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21650 and 2000?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -215.97 - -216.07. Which is the second biggest value? (a) s (b) 6\/5 (c) -0.3 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, j: 6, u: 7, k: 5}. What is prob of picking 1 n and 2 j?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -102220012111?\nAnswer: -102220012200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(77)*-1*-3)\/sqrt(11).\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-15)\/(-12))\/(1\/76) and 133.\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/9968576 and -53\/11548960.\nAnswer: 947014720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 3*l - 21, 0 = 3*s - 4*l + 2 - 0. Suppose -s*c + 300 = -c. Let y be 0\/(-1) + (1 - -11). Calculate the highest common divisor of y and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6276495 and 4602763.\nAnswer: 69041445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + t + 1 - 7)*(-4*t**2 + 7*t**2 + 0*t**2) + 0*t**3 - 2*t**3 - 4*t**3.\nAnswer: -3*t**3 - 6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*3365962.\nAnswer: 3365962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13655 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (3 - 9) - (1 + 6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 504003617 a multiple of 403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -6*x**2 - 269*x - 6. Let o(h) = 5*h**2 + 267*h + 5. Give 3*k(l) + 4*o(l).\nAnswer: 2*l**2 + 261*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14730.\nAnswer: 2, 3, 5, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/47 and 9\/1374280.\nAnswer: 1374280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 10:12 PM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**4 - 6*i**3 - 3*i**2 + 6*i.\nAnswer: 3*i*(i - 2)*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 190209\/(-2470) - (-43)\/5590\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.6 + -1.5. Let c = 2.10009 + p. What is c rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**3 + 6*x + 4. What is z(-3)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1425)\/275 + (-4)\/132*-6. Put -3, 4, h, 7, -2 in ascending order.\nAnswer: h, -3, -2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 6*c. Suppose -3*o - 4*j + 24 = c, -3*o = -o - j - 5. Solve 2*g + 4*h = 0, g - 5 + o = -h for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbhbbbbb. Give prob of sequence bh.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 12 = -8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 72 + -133. Let o = z + 60.9999969. Round o to seven decimal places.\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3451 minus -3?\nAnswer: -3448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 64 - 122. Let p = 97 + z. Calculate the remainder when p is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 671, 689, 741, 845, 1019, 1281, 1649?\n\"Answer: 3*q**3 - q**2 + 669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8808.388 millennia in months?\nAnswer: 105700656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pttv. What is prob of picking 1 t and 1 p?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 820 and 47724?\nAnswer: 238620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -1\/6, 2\/3, -3, -0.87 in decreasing order.\nAnswer: 2\/3, -0.1, -1\/6, -0.87, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 5*h**2. Let p(o) = -4*o. Let v(s) = 4*s. Let g(x) = 6*p(x) + 5*v(x). Determine g(f(m)).\nAnswer: -20*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 3 = 9. Suppose -5*s - f*t + 5*t = -48, -5 = -5*t. Calculate the greatest common divisor of s and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20000 + 100?\nAnswer: 20100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 2*k + 18, -60*k - 17 = 2*d - 55*k. Let g(n) = 6*n**2 + 3*n. Let o(r) = -5*r**2 - 2*r - 1. What is d*o(v) + 3*g(v)?\nAnswer: -2*v**2 + v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(242) + (-1*sqrt(242) + sqrt(242))*-6 - sqrt(242))**2 + 1)*2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14234 is divided by 166.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**4. Let g = -5 - -7. Let o(y) = 5*y**4 - 3*y**3 - y**2. Let x(t) = g*o(t) + 14*i(t). Factor x(r).\nAnswer: -2*r**2*(r + 1)*(2*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 31.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 9*w**2 - 11*w + 6. Let y(o) = 8*o**2 - 9*o + 7. What is 5*v(p) - 6*y(p)?\nAnswer: -3*p**2 - p - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 8046347 and -4?\nAnswer: 8046351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5\/2*(5 + (-3102)\/(-30))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -830 + 1702. Let i = s + 765. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b. Let g(s) = -3*s + 2. Let w be ((-16)\/24)\/((-2)\/12). Suppose -5*v - t = -w*t + 14, -t + 6 = -3*v. Give v*g(r) + 6*h(r).\nAnswer: -3*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - (17 - 15 - (-87 - -5))) + -2 - 5\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 2\/3, 1\/10, 7\/8, -0.9, -1\/3?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from phypzh. What is prob of sequence hyh?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 1:35 AM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 20 = -6*u. Let b = 4 + -3. Suppose b = g + 4. Does u = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -864675.\nAnswer: -864675, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -4*l**2 - 5*l. Let b(f) = 9*f**2 + 10*f - 1. Let d(y) = -3*b(y) - 7*z(y). Suppose 2*i - 4*i - 6 = 0. Calculate d(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 139517 + -4.4\nAnswer: 139512.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 - 36*f + 413. Let s be h(-45). Solve 11 = y + s for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -134 minus 5927285.267055?\nAnswer: -5927419.267055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - m = 2 - 5, m - 42 = -91 + 52 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 11209540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (1 - -13 - 11).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39 + 49. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - 4*v + 2*v)*(2*v**2 - 4*v**2 + 4*v**2) + 2*v**3 - 3*v**3 - v**3 + (3 - v - 3)*(-2*v**2 - 8 + 8) + (6 + 0 - 4)*(3*v**3 - 7*v**3 + 17*v**3).\nAnswer: 18*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155 = 3*s - 46. Let l(t) = 4*t**2 - 16*t + 3. Let d be l(-4). Let c = -96 + d. What is the remainder when s is divided by c?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -79\/1326 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*c**3*m*o + 2374442*c**3*m + 6*c**2*o + 71*m*o + 3137*m wrt c.\nAnswer: 18*m*o + 14246652*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 216898 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*k + 5. Let r = k - -8. Let s(o) = -o**2 + 6*o + 7. What is the remainder when s(6) is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10307\/935 + -11 - (-5594721)\/53295.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(156) + (-2*sqrt(156)*-6 - sqrt(156) - sqrt(156)) - sqrt(156))\/(-5*sqrt(72)\/sqrt(6)) - (sqrt(1872) + -3*sqrt(1872) + 5)).\nAnswer: -66*sqrt(13) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gglglggglggggl. Give prob of picking 3 g and 1 l.\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggfggf. What is prob of picking 2 g?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**2\/6 + 647935*g\/3 - 419819764225\/6 = 0. Calculate g.\nAnswer: 647935","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -202178231, -404356461, -606534691, -808712921?\n\"Answer: -202178230*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a**2*s**2 + 15*a**2*s - a**2 + 12307*a + 82*s wrt s.\nAnswer: 4*a**2*s + 15*a**2 + 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 41730 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 200*z - 1192. Let y be w(6). Let v be (2 - 24\/10)*-5. Suppose -v*x + 6*x - 288 = 0. What is the greatest common divisor of y and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 - 6*q - 6. Let s = 16 - 5. Suppose -19 - 6 = -5*v. Suppose -3*r - v*w = 2, -2*w - 21 = -4*r + s. Calculate b(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-345)\/(-12) + (-6)\/(-12). Let a = 1295\/44 - u. What is the nearest to 0.1 in 0.4, a, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2835*-130.7.\nAnswer: -370534.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -550 and -153496\/279 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*1*sqrt(11) + sqrt(11))**2 + 4*sqrt(176).\nAnswer: 16*sqrt(11) + 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1155*u**2 + 675*u**2 - 1359*u**2 + 3044 - 276*u**2 wrt u.\nAnswer: -4230*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -39594, -81421, -123248, -165075, -206902?\n\"Answer: -41827*h + 2233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-5 + ((2*sqrt(14))\/sqrt(2) + 1 - sqrt(42)\/(sqrt(6) - (sqrt(6) + sqrt(864) + 2*sqrt(864)))))*3)**2 + 2.\nAnswer: -3650*sqrt(7) + 1451263\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10571 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 279320 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1221*s**2 - 336*s**2 + 4290*s**2 + 4631*s**2.\nAnswer: 9806*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -4*x**3 + 4*x**2 - 2*x - 1875. Give k(0).\nAnswer: -1875","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (6 - -1) + 18 + (15 - 21 - 4)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of v**3 - 17*v**2 - 114865*v + 4304882 wrt v?\nAnswer: 3*v**2 - 34*v - 114865","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 57*p + 59*p = -34, 4*p = -z - 8. Solve 0 = 4*o - 0 + z for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 952608192 and 2176.\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-49)\/35 - 4\/(-10). Let d be y\/(12\/(-10) + 1). Suppose 5*t - 2*v - v - 68 = 0, t - 36 = -d*v. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.2, 25 in descending order.\nAnswer: 25, 2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 117*t**3*v**2*w**2 + 3*t**3*w**2 + t*v**2*w**2 - 2*t*v**2 + 18*t + 2*w**2 wrt t?\nAnswer: 702*t*v**2*w**2 + 18*t*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9241704 to the nearest integer?\nAnswer: 3040","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -136 by 136.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 34541*l + 6873662. What is y(-199)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -751597979260 take away -0.2?\nAnswer: -751597979259.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -3*c + 4*l - 16, l - 7 = c. Let k be 2\/10*5*(0 + 3) + 1. Put c, -3, k in decreasing order.\nAnswer: k, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(2448) + 1 + (5*(sqrt(2448) + -1))**2)*2 - (-2 + (sqrt(102)*-2)\/sqrt(6) + ((sqrt(68) - 1*sqrt(68))**2 - sqrt(17)) + 4).\nAnswer: -1173*sqrt(17) + 122442","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 260, -87.\nAnswer: -87, -2, -1, 260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 20 = -p + 4*m, 0 = -5*m + 20. Let g be p + 0\/(-5 + 1) - 0. Find the common denominator of 2\/32*2*27\/g and 73\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 533 and 39.\nAnswer: 1599","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -101.98 + -12.02. Which is greater: -39 or x?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4836, -19378, -43614, -77544, -121168, -174486?\nAnswer: -237498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3129, -3104, -3063, -3006, -2933, -2844?\nAnswer: -2739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3059 = -16*o + w + 7760, 5*o + 2*w = 1476. Calculate the lowest common multiple of o and 735.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 0*u + 0*u)*(-3 + 1 + 0) + (-4 + 2 + 4)*(2 - 2947*u + 4639*u + 7825*u).\nAnswer: 19036*u + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.011 + -36.989. Which is the closest to q? (a) 8 (b) -0.4 (c) 2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -109*k + 3 - 4*k**2 - 1 + 13*k**3 - 12*k**3 + 105*k. Let l be (2 - 12)*1\/(-2). What is s(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*x**2 - 12*x**2 + 12*x**2 + 177*x**5 + 3 wrt x.\nAnswer: 10620*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11580294*i**2*o + 27*i*o - 639*i + 7*o wrt i?\nAnswer: -23160588*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -52. Let c(m) = 31. Let s(n) = 5*c(n) + 3*l(n). Suppose 3*f + 1 = -3*q + 7, 0 = 2*f + 4. Let u(o) = -2*o**2 - o + 5. What is q*s(g) + u(g)?\nAnswer: -2*g**2 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14662506?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/5, 1\/5, 4.7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -112221, -112884, -113991, -115542, -117537, -119976, -122859?\nAnswer: -126186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(((-51)\/4)\/((-15225)\/8120))?\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 42.35399 and -14?\nAnswer: 56.35399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/7, 103, -3\/2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and 602.\nAnswer: 601.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/(-5)*15\/(18\/(-6)). Let x = p - -16. Solve -d - 1 = -x for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f + 9. Give h(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -522 and -123715839640.\nAnswer: -123715840162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1855?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5531*i**2*n**3 + 110*i**2*n - 4*i**2 - 3619*i*n**3 + 605*i - 5*n**2 + 2 wrt n.\nAnswer: -33186*i**2 - 21714*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4545217718?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 13 = v, 5*j + 2*v + 22 = 7*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 1\/8*o**2 - 1\/2*o - 5\/8 = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 6*k - 4. Let i be b(-3). Suppose 0 = -i*y + 123 - 108. Solve 2*h - 2*f = -4, -y*h = h + 3*f - 13 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven fifths of a tonne in kilograms?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*m - 18*v = -22*m - 35, -m - 4*v = -9 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 8*h + 15 - 8)*(-1056 - 1110 + 2378)*(2 + 3 - 6).\nAnswer: 1696*h + 1060","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111110110 + 101101011?\nAnswer: 1101100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2177709243 and -5.\nAnswer: -4.7822290757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 5. Suppose -3*g + 14 = 2*j - 2, -g + f = 0. Suppose t - 8 = -2. Solve 2*r + 2*k = 8, -3*r - 4*k + j = -t*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*l + 27*l = 2*z + 29, -3*l + 19*z + 23 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 512927?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61937062.\nAnswer: 2, 11, 131, 21491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -544*r = -1193*r + 16326*r + 2132072 for r.\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -146, 0, 4, 2, 102 in decreasing order.\nAnswer: 102, 4, 2, 0, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -685538*t + 685549*t - 341 = 0 for t.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -3*u**2 - 53*u + 22. Let h be x(-17). Let s = 16 - 8. Let t be s\/16 + 15\/2. Calculate the highest common divisor of t and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 236032 and 1383.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 - 33. Sort v, -5, -2, 5 in descending order.\nAnswer: 5, v, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 + 0)*(-6*f**3 + 6*f**3 + 4*f**4) + (-f + f - 2*f**2)*(0*f**2 - 4*f**2 + 2*f**2).\nAnswer: 20*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 9:39 AM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -1, -2\/141, -4.\nAnswer: -4, -1, -2\/141, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2106553503.\nAnswer: 3, 19, 491, 75269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g - 1. Suppose 5*y + 1 - 6 = 0. Let z(m) = -530*m - 18. Let h(v) = y*z(v) - n(v). Is h(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 11:30 AM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 5*r = 34 - 9, 5 = -l - 5*r. Let w be (0 - -1)*(1 - l). Sort -4, w, 3 in increasing order.\nAnswer: w, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f**3*t**3 + 2*f**3*t**2 + 2*f**3*t - 14*f**2*t**3 - 2*f*t - 96*t wrt t?\nAnswer: 12*f**3*t + 4*f**3 - 84*f**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -55 (b) -0.3 (c) -0.1821\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -658662*k**3 - 26*k**2 + 152*k - 646 wrt k?\nAnswer: -3951972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -353 - -357 - ((-29)\/(-6) + (-4)\/6).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 106642411 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 - (133 + 9 + -67 + 29)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1bb (base 14) to base 3.\nAnswer: -111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3646 is divided by 2352?\nAnswer: 1294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 852567?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1 (b) -13 (c) -0.12 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 21\/2 of a minute?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17218 to the power of 1\/2, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of -p**7\/735 - 239*p**6\/210 - 57121*p**5\/210 + 1306*p**2. Find i such that w(i) = 0.\nAnswer: -239, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w be 7 + (-1 - 1) + -2. Suppose -w*u - 3 + 6 = 0. Solve -j + u = -2*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.12 in 1, 0.1, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -3. Let p = i - 0. Suppose -3*y - 5*f + 3 = 0, 2*f = 4*y - 0*f - p. Sort y, -11, 4.\nAnswer: -11, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 - (-35 + 4))\/(-2). Let f(m) = m**3 + 12*m**2 - 15*m - 21. Let i be f(x). Solve 0 = 2*t + 2*p - 10, -i = -3*t + 8*t - p for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**2 - 2*s**2 - s**2 + (1 - 1 + 3*s**2)*(-3372 - 4361 + 10605 + (5 + 0 - 4)*(1 + 2 - 5)).\nAnswer: 8609*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2e441 - 28?\nAnswer: -2e469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l + 0 + 0)*(1 + 4 - 4 + (-1 - 3 + 3)*(-1011 + 455 + 392)) as j*l + k and give j.\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12 + 16c592?\nAnswer: 16c580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j - 3. Let d be w(7). Factor -2\/3*r + 1\/3 + 0*r**2 - 1\/3*r**d + 2\/3*r**3.\nAnswer: -(r - 1)**3*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-16)*88\/(-132)*(-1494)\/(-4). Which is smaller: 0.1 or v?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 810 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: In base 2, what is -100001 - 10?\nAnswer: -100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -19 (c) -30 (d) 4\/3 (e) -0.0117\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 51, 71, 79, 81, 83, 91?\n\"Answer: c**3 - 12*c**2 + 49*c + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -488.40528 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 23*k + 10. Let g(f) = -29*f - 9. Let w(o) = -4*g(o) - 5*z(o). Determine w(17).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-1552)*116\/87)\/(((-69)\/18)\/23).\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of z**4\/12 - z**3\/6 + 4*z**2. Let x(h) = 4*h - 3. Let m(t) = 5*p(t) - 2*x(t). Differentiate m(l) wrt l.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 16915*m + 105. Let y be z(7). Let d(u) = u + 46510. Let j be d(0). Let w = j - y. Round w to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(2\/39))\/o**25)\/(o*o*o**(1\/24)*o*o*o)**(6\/17) assuming o is positive.\nAnswer: o**(-68503\/2652)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4834207875?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d + 37462 = -18468. Let g = 10966 - d. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - r - 4*g - 40 = 0, -4*g - 46 = -5*r. Let s(d) = -d**3 + 6*d**2 + d - 13. Let q be s(r). Let k = -3 + 5. Which is greater: k or q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1109654?\nAnswer: 2, 7, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8 + -3 + 425\/30 and 103\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/16 and ((-178)\/(-60))\/(12\/10 - 0)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.7343 + 2.8343. Let d = 0.5 + -0.5. What is the nearest to f in -1\/3, d, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 - 12*s**2 + 6*s + 17. Suppose -2*x + 6 = -2*l - 74, 0 = l + 4*x + 20. Let q be (l\/(-21))\/(3\/21). Is b(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 650?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 3*g - 2. Let s(b) = 53*b**2 - 11*b - 6. What is 3*q(v) - s(v)?\nAnswer: -50*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/7))**(-2)*((s\/(s\/s**(-5\/2)))\/s)\/(s\/(s**3\/s)) assuming s is positive.\nAnswer: s**(-27\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14911 + 14919. What is the fourth biggest value in -3, 5, z, 0.9, 7?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 819, 831, 859, 909, 987, 1099, 1251, 1449?\n\"Answer: d**3 + 2*d**2 - d + 817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(512))**2.\nAnswer: -2048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 984\/(-41)*(-60)\/384.\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.8 in 0.555, 2, -3, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1232491 is divided by 154060?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4237, 6969, 9701, 12433, 15165, 17897?\n\"Answer: 2732*b + 1505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -182 - -132. What is the tens digit of (-20)\/g - 296\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4788 + 4791. Let m(a) be the second derivative of -6561\/23*a**2 - 81\/23*a**4 - l + 18\/115*a**5 - 3*a + 972\/23*a**3 - 1\/345*a**6. Factor m(i).\nAnswer: -2*(i - 9)**4\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85924143?\nAnswer: 3, 9547127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 1, -1\/4, 0.68, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 114630510 a multiple of 618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2b79b (base 13) to base 15\nAnswer: -1971a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8289142.\nAnswer: 2, 1039, 3989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**4 - j**4 + 3*j**4)*(2 + 0 - 4 - 1 - 1 + 4 + (-2 + 1 + 2)*(2 + 0 - 4) - 1 + 1 - 2 + 4 + 1 - 3).\nAnswer: -4*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(153) + sqrt(153)*-5 + 3 - ((-5*sqrt(425) - sqrt(17)) + (1*sqrt(170) - sqrt(170))\/sqrt(10)))*6.\nAnswer: 19 + 84*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -115772 - 1?\nAnswer: -115773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (9 + -7) - (0 - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 f when four letters picked without replacement from fnnffffnfffnff?\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 69745 and 12506?\nAnswer: 1813370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/18*(-24)\/3)\/(2\/(-18)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**3\/5 + 19366*b**2\/5 - 19364*b\/5 = 0?\nAnswer: 0, 1, 9682","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.37124269092 rounded to six decimal places?\nAnswer: -0.371243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.6 + -1.4. Which is smaller: -2 or y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v = -2*l + 6*v + 10, 8 = 2*v. Let s be (-16)\/3*243\/(-36). Let t be s\/(-16)*1\/(-6). Are t and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/6)\/(l\/(l\/(l\/l**(-6)*l)))*((l*(l\/l**(-3\/4)*l)\/l)\/l)**(-38) assuming l is positive.\nAnswer: l**(-224\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -20*a**2 + 902*a + 1810. What is z(-2)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 4, -10, 67, -14, 5 in descending order.\nAnswer: 67, 10, 5, 4, -10, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 158 (base 13) to base 14.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9435 and 5419464?\nAnswer: 27097320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 9*b - 49. Let k(v) = -b*v + 3*v - 5*v + 11*v. Let f(g) = -3*g**2 - 12*g. What is f(k(x))?\nAnswer: -12*x**2 - 24*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -0*j - 2*j + 10, -4*j = 12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 1 + 3 = 0. Let p = 41 - 22. Suppose -4*o - 3*c = -p - 126, -n*o + 3*c = -77. What is the remainder when o is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence opof when four letters picked without replacement from otcfpofycofopoo?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -6*s. Let j(i) = 8119894*i**2. Calculate j(g(u)).\nAnswer: 292316184*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 - -11 - -6 - -36.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7749755 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4*(1 - 2))\/(-1). Suppose o = 7 - r. Factor 3\/5*n**o - 3\/5*n**2 - 6\/5*n + 0.\nAnswer: 3*n*(n - 2)*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**2. Let x(f) be the second derivative of -13\/3*f**3 + 0*f**2 + 0 + 46*f + 1\/6*f**4. Give c(x(h)).\nAnswer: -8*h**4 + 208*h**3 - 1352*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -488*d - 1106. Let o(i) = -1464*i - 3299. Let j(f) = -24*n(f) + 9*o(f). What is the derivative of j(c) wrt c?\nAnswer: -1464","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*sqrt(60)*2)\/((sqrt(120)\/(sqrt(80) + sqrt(5)))\/((-1*sqrt(96))\/sqrt(12))).\nAnswer: -60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00882179 rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-5\/6)\/n*n*n**(-7))**50)**32 assuming n is positive.\nAnswer: n**(-37600\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -3986, -3\/2, -0.2, -3?\nAnswer: -3986","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.1, -4, 1\/9, 0.01?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.8 - -0.9. Let p = 1.4 - d. Let q = -4.2 + p. Round q to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -393*w + 7562 - 488 for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 7*g**2 + g. Let o be r(-1). Let u be (15\/(-10))\/(o\/(-112)). Suppose -2*p + 94 = u. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -5 + (sqrt(3087) - (sqrt(3087) + 1)*-6) + (0 + sqrt(3087) + -1 - sqrt(3087)))**2.\nAnswer: -1470*sqrt(7) + 151288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/6 - 176\/(-72))*384\/(-704).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2670 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.042 + -0.258. Let j = o - -0.30032. What is j rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1047579710?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w + 4. Let g be q(8). Suppose -g = -3*a - 2*t, 1 = a + t - 2. Let v(b) = b - 3. Let o be v(a). Solve -4*d + o*x - 9 = 5, 4*x = -4*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - 11*y - 33. Let z(v) = v**2 + 23*v + 66. Calculate -5*i(p) - 3*z(p).\nAnswer: 2*p**2 - 14*p - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 1:09 PM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27935661 is divided by 874?\nAnswer: 873","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**2 - 6*g**2 - 35 + 38 - 5*g**3 + 21*g**3.\nAnswer: 16*g**3 - 7*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 109580.4um in millimeters?\nAnswer: 109.5804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12*a*c*m**2 - a*m - 8*c*m**2 + 4*m**2 + 20 wrt c?\nAnswer: -12*a*m**2 - 8*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -10*m**3 - 4*m**2 + 7*m + 7. Let j be g(-1). Let n = 10.09 + -0.09. Let w = -6 + n. Which is the smallest value? (a) w (b) -5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h. Let o be l(-11). What are the prime factors of o*(-3)\/6*-2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10584?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*o, -5*p + 2*o + 25 = -0*o. Solve p*n - n + 2 = 2*a, -2*a + 5*n + 8 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1362 is divided by 96.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -90172 or -90160?\nAnswer: -90160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/17 (b) 3 (c) 4 (d) -3\/20 (e) -1.27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1888, -3811, -5716, -7597, -9448, -11263, -13036?\nAnswer: -14761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5149 + 5168. Suppose 180 - 40 = 4*b. What is the remainder when b is divided by h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 11:19 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-27)\/((-7128)\/(-1248)) - 3\/11. Let f(c) = c**3 + 12*c**2 + 10*c - 15. Let s be f(-11). Suppose -5 = 2*u - 5*q, -u + 2*q + 3*q = 10. Sort d, s, -2, u.\nAnswer: d, s, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -9*p + 4*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 211457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v + v - 3*v + (-v + v + 2*v)*(110 - 60 + 186)*(-2 + 5 - 1) - 2 + 2*v + 2 as y + i*v and give i.\nAnswer: 942","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2503 - 3*g - 3*g**2 - 2498 + 8*g. Let x(h) = -4*h**2 + 7*h + 7. Give -7*t(c) + 5*x(c).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -108384, -217276, -326168, -435060, -543952?\nAnswer: -652844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -429*q**2 + 429*q**2 + 5*q + 35*q**3 - 21*q**3 + 6*q**3.\nAnswer: 20*q**3 + 5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -502 != -624?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -11*q**2 + 10*q - 5. Let n(v) = 23*v**2 - 19*v + 11. Give -4*n(p) - 9*z(p).\nAnswer: 7*p**2 - 14*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 130204242323?\nAnswer: -130204242322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -35*n**5 - 16*n**4 - 6*n**2 + 78*n - 1 wrt n.\nAnswer: -2100*n**2 - 384*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23 + 10 - (-10 + 0)) + 10 + -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1771*l - 149*l - 26810 - 764 for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*((w\/w**(-5\/3))\/w)\/w)**(-6\/5)*((((w**(5\/8)\/w)\/w)\/w)\/w)\/(w\/w**13))**(7\/8) assuming w is positive.\nAnswer: w**(371\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4808795, -4808787, -4808779?\nAnswer: -4808771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.4179 rounded to 1 decimal place?\nAnswer: -7.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -4*j + 55. Let i = -159 - -171. What is the lowest common multiple of 11 and c(i)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/3*(-2)\/(-90). Let r = -3326989\/135 - -24644. Let o = r - g. Which is the nearest to -0.1? (a) 3 (b) -2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 2:01 PM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = r - 25, 0 = 2*r + 4*s + 6 - 0. Let h = -3 + r. Suppose 2*c + 196 = 5*u, h*u = u - 3*c + 46. Does 10 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/13)\/(-7*((-616)\/882)\/44)?\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2*sqrt(68) - sqrt(68)))\/(1*sqrt(4)*6).\nAnswer: -5*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3185 + -3184. Does y = -2\/4105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/2 + 3*r**3 - 4*r**2 - 3*r + 7\/2.\nAnswer: (r - 1)**2*(r + 1)*(r + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.478 + 11.602. Let c = -399 + 387. Let r = w + c. Is r != 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 4:31 AM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**2 + 10*c - 20*c - 17*c**4 + 2*c**2 - c**2 + 66*c**4 to the form m*c + j*c**2 + y*c**3 + b + i*c**4 and give m.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2 + sqrt(2736) + (3 + sqrt(2736)*-2)**2)*-6*3.\nAnswer: -197082 + 2376*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -465 - -465.2. Is -22 <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.2 in 4, -13, -8, -0.1979?\nAnswer: -0.1979","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.0679274 minutes in weeks?\nAnswer: 0.00367737375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15829.6173 - -15235.72. Let k = j - -594. What is k rounded to two dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v - 37. Calculate l(-8).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*z = 19*z - 49 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 63.556, 22.8 in ascending order.\nAnswer: 4, 22.8, 63.556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 557 - 541. Suppose 65*x - 1 = 66*x - 2*g, 2*x = -2*g + w. Solve t - 4*t + 10 = 5*k, 2*k = x*t + 35 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-13)*g*g)\/g**(-13))**(-7\/3) assuming g is positive.\nAnswer: g**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 918 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -14*(-1 - 12\/(-8)). Is 380\/2 + p + 8 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 158667228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 0.3528989?\nAnswer: 0.17644945","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 244624 = 67*z + 15819. What is the thousands digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5149 - 5147. What is the remainder when 242 is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -4.1. Suppose 4 = -4*s + 12. Suppose -4*c + 28 = 4*q, -3*c = -s*q - q - 3. What is the second biggest value in 5, n, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 6*u**2 - 8*u + 6. Let n = -31 + 17. Let r = n - -10. Let i be x(r). Solve c + i = 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.19, -980, -5, -0.5?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 11 - 26. Suppose c + y = 922 + 338, -y = -a*c + 3776. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*b + 3*b**2 - 3*b**2 - 28*b**3 + 19*b wrt b.\nAnswer: -168*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-5) - (-63)\/(-5). Let q be (0 - 1)*u\/3. Suppose 2 = 6*h - q. What is the highest common factor of h and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 516388?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 175394 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 3852, -14?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7)\/(((-7)\/9)\/7). What is the highest common divisor of 9 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 8:28 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5110 times 2747\nAnswer: -14037170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 86 - 87.32. Let d = o - -0.32. Let h = -1927\/11 + 175. Do d and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t**3 - 3*t**2 + 4*t + 7. Let i be o(-3). Suppose -i*h + 20*h = -470. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 2*u. Suppose u = -2*l + l + 5. Suppose -14 = l*j + 11. Sort -2, 1, j in increasing order.\nAnswer: j, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.14 bigger than -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.5 + 15396629.08758.\nAnswer: 15396627.58758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55099761?\nAnswer: 3, 18366587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -93, -167, -221, -255, -269?\nAnswer: -263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 5*o**2 + 4*o. Let z be s(4). Let r(c) = c**2 - 4*c + 3. Let y be r(z). Solve 2*u - 3*u**2 - 59*u**y + u**4 + 59*u**3 = 0 for u.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35729 + -6820. What is the thousands digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -r**4\/24 - 17*r**3\/18 - 25*r**2\/6 + 88*r\/3 - 7205. Factor z(u).\nAnswer: -(u - 2)*(u + 8)*(u + 11)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d - 7. Let p(a) = -21*a + 48. Let z(s) = 27*c(s) + 4*p(s). Let x be z(1). Solve 3*v + t - 10 = x, 0 = -4*v - t + 2*t + 18 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(-3))\/((-17)\/255). Suppose 0 = -11*b - j*b + 64. What is the units digit of b\/(-2)*(-380)\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oofotzztttoof. What is prob of picking 2 f?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 7 + 45 = 0. Suppose 14*c = 5*c + 18. Suppose -2*q - c*d = -8, 5*d - 6 = 3*q + 14. Solve -4*f - k + 1 = q, 0 = -4*x + 3*f + 1 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3\/2 - 27*g**2\/2 + 45*g\/2 - 21\/2.\nAnswer: 3*(g - 7)*(g - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-2)*(-5)\/(-15)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of l**4 + 6*l**2*y**3 - 2*l - 94*y**3 wrt l?\nAnswer: 4*l**3 + 12*l*y**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7547, -7543, -7539, -7535, -7531?\nAnswer: -7527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -512 - 110*g**2 + 512 to the form l*g**2 + o + a*g and give l.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2)\/((-8)\/(-32)) - 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/13)*l*l)**(-4\/35) assuming l is positive.\nAnswer: l**(-20\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - 9*y**2 - 2*y. Let i = -21 + 30. Let b be l(i). Let f = b - -26. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 4*i**2 - 11*i + 294. Let t be x(5). Solve 0 = -3*j + b + 2, -19*j + t*j - 10 = -5*b for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) 5 (b) -5 (c) 4 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -486 - -340. Suppose 5*q + 4 = -n - 39, -q = 0. Let l = n - x. What are the prime factors of l?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 44*a + 8099. Determine l(-188).\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 6*k + 4. Suppose -3*l + 4*l = w - 1, -2*w = 3*l + 8. Let b be ((-1)\/w)\/(8\/(-32)) - -1. Determine s(b).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of 2*x**5\/5 - 5*x**3\/6 + 23*x**2. Find the first derivative of v(w) wrt w.\nAnswer: 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s + 5*s**2 + 2*s. Suppose -5*c - 9*p = -5*p - 6, 4*c - 12 = 4*p. Let y(w) = c - 528*w - 2 + 533*w. Calculate n(y(d)).\nAnswer: 125*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -168*g + 5563. Suppose 0 = -2*x + 3*j, -2*j = 5*x - 3*j. Suppose -5*f - 2 + 367 = x. What is the remainder when f is divided by w(33)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**2 + 9*q - 2. Let l(g) = g**2 + 4*g - 1. Let t(w) = -6*f(w) + 13*l(w). Suppose -12 = -d + 4*d - 2*s, 0 = -5*d - 4*s - 20. Is 11 a factor of t(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -251709.89 to the nearest 10000.\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(36)\/(sqrt(9) + -3*sqrt(144)))\/((sqrt(242) + sqrt(242)*-1)*-5 + sqrt(242)))**2.\nAnswer: 72\/14641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-25)\/5 - (-2 + -6). Suppose 16 = 3*h + 2*d + f, -3*h + 12 = 3*d. Solve 0 = -3*u + h*u + 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -3*u**3 - 2*u**2 + 9*u + 21. Let t be j(-2). Suppose 15*b + t*b - 68 = 0. Solve -b*w - 16 = -6*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 2270030413?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 541869?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -2*f + 68, 3*b + 50 + 86 = 4*f. List the prime factors of f.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k**2 + 14*k + 8. Give c(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 632 - 1786 = -82*p + 568 for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7897, -15808, -23713, -31600, -39457, -47272, -55033, -62728?\n\"Answer: 2*o**3 - 9*o**2 - 7898*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 301 and 1534799.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4914)\/(-858)*50\/175?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 587085759 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -12*h**2. Let r(k) = -11*k**2 + 145664*k - 2. Give r(t(a)).\nAnswer: -1584*a**4 - 1747968*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13728 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 24617532 to the power of 1\/3, to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of a**5\/15 - a**4 + 2*a**3\/3 - 30*a**2. Let i be w(6). Solve -m + 5*f + 19 - 3 = 0, 3*m - i = 4*f for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -5*l + 12, 2*l + 6 + 0 = -5*w. Suppose c = 3*u + 41, -l*c + 125 = 3*c + 5*u. What is the common denominator of ((-6)\/8 + 2\/(-4))*(-16)\/22 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -231, -475, -741, -1029, -1339, -1671, -2025?\n\"Answer: -11*s**2 - 211*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6239824, -12479644, -18719464, -24959284, -31199104, -37438924?\n\"Answer: -6239820*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1249138+-13\nAnswer: -1249151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + (-61)\/(-31))\/(-46). Do 1 and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20273316.\nAnswer: 2, 3, 7, 17, 14197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 12*k + 212. Let g be v(-3). Calculate the greatest common divisor of 24 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t + 104*t**2 + 10*t - 106*t**2 + 2 to w*t + x*t**2 + c and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + m = 0. Suppose -5*p - 2*s + 23 = m, 6*s - 4 = 4*p + 2*s. Find g such that 0 + 0*g**2 + 1\/4*g**5 + 0*g**4 - 1\/4*g**p + 0*g = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*m + 455026 = 1906219. Does 101 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10\/6)\/((-2)\/(-132)). Let w be ((-8)\/10)\/((-4)\/u). Suppose 0 = f - 3*f + w. What are the prime factors of f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3352 by -66177.\nAnswer: -3352\/66177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + i - 2 = -3, 3*x + 5*i = -22. Solve 2*d - x - 3 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 1 = -4*c. Let p be c + -2 + (-318)\/(-6). Suppose 0 = 3*v - 5*i + p - 161, -3*i = 3*v - 87. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -1023 (b) 1\/25 (c) -3 (d) 1 (e) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 + 20. Let n(z) be the third derivative of 0 + 0*z**5 + z**2 + 1\/240*z**6 + w*z - 1\/48*z**4 + 0*z**3. Factor n(j).\nAnswer: j*(j - 1)*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 2 + (1 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p**2 + 1. Let k be g(1). Let x(s) = 2*s**2 - 2*s - 4. Let r be x(k). Suppose 0 = 5*l - 4*u + 8, -12*u + 10 = 5*l - 7*u. Solve l*z = 5*z - r for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 162180031 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -117859575 and 0.3.\nAnswer: -35357872.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 607547, 607541, 607535?\nAnswer: 607529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -28. Let d(k) = -3*k - 3. Let g be d(-2). Suppose -g*u - 80 = -8*u. What is the remainder when u is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2830.9288 + -2828.7288011. Let d = -2.2 + q. What is d rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1672602\/331 and 5054 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-12) - 33\/9. Let w be 5\/(-30) - (-1)\/k. Sort -6\/11, -0.4, w in ascending order.\nAnswer: -6\/11, w, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 232850 and 450.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*n**2 + 10390*n - 3469400 = 0. What is n?\nAnswer: 418, 1660","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 15*y - 13*y. Let g(x) = 2*x + 2. Determine g(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, -3, -7, 3, -2 in descending order.\nAnswer: 3, -2, -3, -7, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34621111.\nAnswer: 7, 67, 73819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xgx when three letters picked without replacement from bgxpgbpbbbxggpbbpbb.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8 + 9)*(4 + -1). Suppose 2*b + 0*b - 12 = -4*a, 12 = 3*b + 4*a. Suppose b = i + 3*v - 177, i + 5*v = -k*i + 708. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - 53*v + 838. What is f(-69)?\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o**2. Let g(j) = 2 + 6*j + 10*j - 3*j**2 - 28*j + 12*j. Determine g(b(c)).\nAnswer: -27*c**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 213856.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -f2 (base 16) to base 11.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36385?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.074 - 0.036. Let n = 0.5159 - -3.4841. Let o be 1\/1 - (-1 + 1). Which is the fourth smallest value? (a) 1\/2 (b) k (c) o (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of 49*y**5\/120 - 49*y**4\/24 + 7*y**3\/3 - 23. Let c(q) be the third derivative of t(q). What is the derivative of c(i) wrt i?\nAnswer: 49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -0.05, -3\/8, -2, 0.03, -1\/4?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*n - 3*q, 6*n - 10 = n + 5*q. Let x(k) = 0*k + 3 - 9*k - n*k**2 + k**3 + 5*k. Determine x(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13918 - -25277. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sxxsxxvxxx. Give prob of picking 2 x.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1436 + 36 = -5*c. Is c a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1)*x*(x*x**3*x)\/x*x*x**(1\/3)\/(x\/(x**(-1\/12)*x)) assuming x is positive.\nAnswer: x**(21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 2*j - 3. Which is the fourth biggest value? (a) 0.3 (b) -5 (c) j (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177 - 665 - 1612 = 50*m for m.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16641, -2, 2, 11.2.\nAnswer: -16641, -2, 2, 11.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 330000 rounded to the nearest ten thousand?\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**2 + 109*m + 1095. Give u(-41).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1805, 289, -2233, -5755, -10271?\n\"Answer: y**3 - 509*y**2 + 4*y + 2309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-2)*-2*(-2)\/((-90)\/(-105))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(-19 - -20) + -3 + 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 4*f**2 - 23*f - 4. Determine m(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 h when four letters picked without replacement from {n: 13, h: 6}.\nAnswer: 195\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10239 is divided by 185?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5687\/102366)\/((4\/1422)\/((-8)\/(-6))).\nAnswer: 79\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -342 - 332243?\nAnswer: -333140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -28\/2222041 and -67\/844.\nAnswer: 8888164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.135514 millennia to decades.\nAnswer: 13.5514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2 + 115694250*a + 1115429956921875.\nAnswer: 3*(a + 19282375)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (22\/8)\/((-64)\/144) and -133\/6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/114 and -1\/15.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o**4 - 139*o**3 - 4989*o**2 + 1890*o = 0. What is o?\nAnswer: -18, 0, 3\/8, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188*p = -7808 - 6856. What is the remainder when 213 is divided by p?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36 (base 9) to base 7\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 28930 = -3*j - 28936, j + 14 = -4*i + 6 - 14 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and -2497.82.\nAnswer: -2501.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -138, -355, -670, -1089, -1618, -2263?\nAnswer: -3030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 31143 (base 5) in base 9?\nAnswer: 2725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -1680*y + 264. What is the thousands digit of j(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -36968 and 6354.\nAnswer: -234894672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*p - 12420 = 63*p + 151*p for p.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14162942 to the nearest integer?\nAnswer: 3763","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*l**2*y + 3965066*l**2 - l*y + 3*l - 1204209*y wrt l?\nAnswer: -14*y + 7930132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -789840 * 1\nAnswer: -789840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -42 - (-26 + 2 + 15).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -4*q**3 - 988440*q**2 + 68221404*q = 0.\nAnswer: -247179, 0, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 5*n**2 - n + 7. Let i be q(5). Suppose f + 0*f + x + i = 0, -3*f = -2*x + 6. Let b(g) = -17*g**3 + g**2 + g + 2. Is b(f) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2098 = 7*m + 2063. Solve 6*w = 7*w - m*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -6*y**2. Let i(u) = 9*u**2. Calculate f(i(g)).\nAnswer: -486*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 62449.098 rounded to the nearest one hundred?\nAnswer: 62400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from illinnnnonlln. Give prob of picking 2 i, 1 o, and 1 l.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6.4 - -6. Let i = -5\/22 + 18\/55. What is the nearest to -2\/5 in 2\/13, b, i?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -874 - -6117\/7. Which is the third smallest value? (a) h (b) 0.13 (c) -63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*c**6 - 10*c**5 - 189*c**2?\nAnswer: 480*c**3 - 600*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 31 + -84 - -24 - 39\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r + 6. Let w be g(-7). Which is smaller: w or 1\/76?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -275? (a) 1.07 (b) 0.3 (c) -8 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-24)\/(-108) + (-32)\/(-18). Suppose 0*u = n*u + 2*j - 172, -2*j = -4*u + 332. What is the highest common divisor of u and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2 + (sqrt(192) - ((-2 + sqrt(192) - sqrt(192))*6 + sqrt(192)) - (sqrt(192)*4 + -3)**2) + 5).\nAnswer: -576*sqrt(3) + 9186","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/89 (b) 1 (c) 0.9 (d) -1 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j + 12. Let u(g) = -3*g + 20. Let n be u(9). Let r be y(n). Solve 4*f + r = -m, -f - 3*m = -0*m + 15 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-184)\/(-138)*(12195\/(-6))\/(-5). Solve -6*x + 554 = j for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38717*a = 38716*a - l, -3*a + 35 = -4*l for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71919?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.3 (b) 0.4 (c) -0.2 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -172\/39 - -66\/13. Suppose 0 = -0*t + 3*t + 12. What is the nearest to s in t, -15, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**3\/3 - 452*z**2 - 62208*z = 0. Calculate z.\nAnswer: -486, -192, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1015179603594 minus -26?\nAnswer: 1015179603620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 26841183 to the power of 1\/2, to the nearest integer?\nAnswer: 5181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3337.644 months?\nAnswer: 278.137","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -2626.\nAnswer: 2626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -2 - -5 - -7 - 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2324.6705 rounded to the nearest 10?\nAnswer: -2320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 10998?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**3)\/q)\/(q\/(q*q\/(q\/(q\/(q*q*q**(3\/16)*q)*q))*q)) assuming q is positive.\nAnswer: q**(-51\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.12885ns in seconds?\nAnswer: 0.00000001712885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48 + (-40 - -19) - 7.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 10*w**5 + 2*w**3 - 9*w**2 + 2. Let o(f) = -11*f**5 - 3*f**3 + 10*f**2 - 3. Let j(n) = 2*o(n) + 3*z(n). Find the third derivative of j(s) wrt s.\nAnswer: 480*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 48? (a) 5 (b) 16\/5 (c) -2\/13 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 347 is divided by 218.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.03 + -0.07. Let o = 0.141 - 0.127. Let s = -0.714 + o. What is the second smallest value in s, i, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16455505 by 5.\nAnswer: 3291101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -4*d**3 + 4*d**2 - 3*d - 1. Let w(s) = -4*s**3 + 5*s**2 - 4*s - 2. What is -4*j(z) + 3*w(z)?\nAnswer: 4*z**3 - z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1660 is divided by 415.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -71073 + 2627?\nAnswer: -66244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 4*m + 32, -9 = -4*m + 11. Let z be ((-56)\/(-3))\/((-10)\/(-15)). Let n = z - 21. What is the remainder when k is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 960?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -24*f. What is the tens digit of o(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4782460 to the nearest 100000.\nAnswer: -4800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35 - 52)\/(-425) + (-898)\/(-50) - 58.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u - 405 = -284*u + 420 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -676894610 from 0.0414.\nAnswer: 676894610.0414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.08 - -0.0799995. What is u rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s + 1. Let u be p(6). Suppose b = -3 + u. What is the lowest common multiple of b and -1 - (0\/1 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.9978 + 0.0318. Let x = 0.034 - u. Let c be ((-4)\/6)\/((-57)\/9). What is the second smallest value in c, x, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 12750342 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49808, 2, -4 in decreasing order.\nAnswer: 2, -4, -49808","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 151269?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -7*c**3 - c**2 + 6*c - 4. Let q be j(3). Let p be (-13)\/(39\/q) + 4\/6. Calculate the common denominator of p\/(-10) + (-30)\/(-15) and 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100003020 + -3032?\nAnswer: -100012112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5537.965 nanometers to meters.\nAnswer: 0.000005537965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 4*c + 152, 2*f + 7*c - 2*c - 113 = 0. Let t = -21 - -25. Calculate the highest common factor of f and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 967 times 47?\nAnswer: 45449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 258550 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43 + -15. Suppose 0*b - 3*b = 2*v - 54, -73 = -4*b - 3*v. Let k = q - b. Solve h + 3*h = -k for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87448345.\nAnswer: 5, 227, 77047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 5*p**2 - 2. Give w(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 11) to base 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*a - 19*a - 17*a - 23*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 68456 + -134632. Let v = 66176.049999 + w. Let y = -0.05 + v. Round y to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003388554 to 6 decimal places.\nAnswer: 0.000339","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 13*x**2 - 5*x - 16. Suppose -5*c - 20 + 35 = 0. Suppose 0 = c*m + 3*m + 78. Is 13 a factor of s(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3069*b - 3050*b - 57 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160 + 171*l - 161*l + 145 - 302.\nAnswer: 10*l + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1.686*0.24\nAnswer: -0.40464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010001011111001 - 11001111?\nAnswer: -1010001111001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3272 (b) -4 (c) -54399\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 185*w - 187*w + 18 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 91 + -17 - -9 - (5 - 0) - (-8 - -11).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -23?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -78*s**3 - 4*s**2 + 2*s + 11. Determine o(3).\nAnswer: -2125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 5*v = 35. Suppose p - 3 = -g, p - 4*g + v = 4*p. Suppose 1214*t - 579 - 955 = 894. Solve -z - p = -t*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 8*a - 0*a. Let h be 4\/(16 - 4)*3\/(-1). Let y be ((-7)\/14 - -5) + h\/(-2). Solve y*q - 3*n + 7*n - 1 = 0, 4*q + 4*n = a for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 3*x**3\/2 + 233*x**2\/4 + 311*x\/2 + 90 = 0?\nAnswer: -36, -2, -5\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 10*c**2 - 14*c - 61. What is t(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, m: 1, c: 4}. What is prob of sequence tc?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.4 - 5. Let k = 3.4 - q. Put 0.3, k, 4 in descending order.\nAnswer: 4, k, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1688.3 and -3.24.\nAnswer: 5470.092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66007970?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b. Let z(l) = -66*l. Determine z(y(t)).\nAnswer: -132*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 7*x**2 + 10*x - 8. Let w be o(6). Let c be (-1 - -4) + w + 1. Calculate the greatest common factor of 4 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26747596 + 26747596 - 7*s**3.\nAnswer: -7*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/((-14)\/(-6)) + (-371190)\/(-210). What is the highest common divisor of 39 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2*c**5 + 64*c**4 + 270*c**3 - 3400*c**2 + 7288*c - 4224 = 0?\nAnswer: -22, -16, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 + 0. Let h = 0.2 + n. Let l be 4\/26 + 34\/(-221). Is h equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10010 (base 2) to base 10.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 135*m**2. Let b(n) = 1902239*n. What is c(b(a))?\nAnswer: 488499283771335*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -22112102?\nAnswer: 22112102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 200 and 312120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.086469 to 2 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -54 - -66. Solve 0 = 4*s + 4*a - o, -6*s + 8 = -s - 2*a for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/20059 and 23\/38575?\nAnswer: 501475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -2\/502061657?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -1.174 (c) 53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 64455 + -22?\nAnswer: 64433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -34*c + 68*c - 36*c. Let j(q) be the third derivative of 1\/6*q**4 + q**2 + 0*q + 0 + 0*q**3. Give j(h(f)).\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 + 17*h + 42. Determine p(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-1)\/(-2) - ((9 - -8) + -12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5675 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 37, 55, 99, 181, 313?\n\"Answer: 2*t**3 + t**2 + t + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one quarter of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 10199*b - 1222. Let z(k) = 100*k - 12. Determine 6*j(h) - 611*z(h).\nAnswer: 94*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000096590595 rounded to 6 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 232244 (base 6) to base 4\nAnswer: 10320010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1404937 + 272215916\nAnswer: 270810979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 5 = 0, 2*m = 3*b - 8 + 4. Factor -2 - 1 + 7 - 4*g**b.\nAnswer: -4*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.7 and -8.\nAnswer: -21.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and -1340.\nAnswer: -1339.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 213.8856 - 214. Let f = 7.88 + -8. Let k = f - d. Round k to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of q**5\/15 + 7*q**4\/24 - 3*q**3\/2 - 147*q**2 - 2*q. Let h(c) = 9*c**2 + 15*c - 19. Determine 6*h(f) - 13*r(f).\nAnswer: 2*f**2 - f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/46 + 89\/138. Which is the closest to j? (a) -3 (b) 4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 6*y + 1. Let k(h) = -6*h - 2. Calculate -3*i(w) - 2*k(w).\nAnswer: -6*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3*k + 7. Let y(v) = -v + 42. Let p = 284 - 290. Let u(m) = -m + 22. Let i(o) = p*y(o) + 11*u(o). Calculate 5*i(q) + 7*w(q).\nAnswer: -4*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k - 3*r + 2, -k + r = -2*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*m = -16115 - 5713. Calculate the common denominator of 20\/4*(-27)\/m and -39\/16.\nAnswer: 1712","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 459 is divided by 98.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1033)\/(-13429))\/(1\/325)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 2:18 AM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1761\/9 + 3 - 8\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3 - 15*l**2 - 802*l + 1656.\nAnswer: (l - 36)*(l - 2)*(l + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -0.37\nAnswer: -0.185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -2791*c**3\/3 + 6167*c + 3621. What is the first derivative of l(i) wrt i?\nAnswer: -5582*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5924, -12484, -19046, -25610, -32176?\n\"Answer: -o**2 - 6557*o + 634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (2*(sqrt(720) - (sqrt(720) - (sqrt(720) + 4))) + -2 - -6*(4 + sqrt(720))*6))**2 + -3.\nAnswer: 137712*sqrt(5) + 1062478","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19976189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 5 + 2)*(u - 1 + 1) - 3*u - u + 2*u - u + 4*u + 3*u)*((-2 - 2 + 2)*(4 - 4 - 4) + 0 - 4 + 3)*(6 + 17 + 17).\nAnswer: 560*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q - 1. Let n = -43 - -42. Let m(d) = 7*d - 10. Let i(v) = n*m(v) + 6*w(v). What is i(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13114035?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 361, 713, 1065, 1417?\n\"Answer: 352*v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -2 (b) -1.24 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 205535 by 30.\nAnswer: 41107\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 500 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -65132842*t**3 - 71107419*t**2 wrt t?\nAnswer: -390797052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*p**2*u**3 - 16*p**2*u**2 - 23*p*u**3 + 5*p*u**2 - 11*p*u + 45*u**3 wrt u?\nAnswer: -12*p**2 - 138*p + 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*j + 4*x = -11*j - 512, -64 = -j - 3*x. Calculate the remainder when 475 is divided by j.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13620800 divided by 8\nAnswer: -1702600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.02 + 1.02. Let f = i - 1.0000004. Round f to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 6 + 42 = 0. Let b(j) = -9*j + 1 + h*j + 3*j**2 + 0. Is b(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 - 9 = -2*h. Let s = -5 - h. Suppose 39*o = 36*o + s. Solve 0 = c + o + 2 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 95 = -98 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 712, 791, 872, 955?\n\"Answer: n**2 + 76*n + 635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 3:19 PM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -43430 divided by 5?\nAnswer: -8686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -144*u - 8. Let v be x(-3). Let b be (-12)\/(-16)*v\/2. Suppose -4*g = -g - b. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 7, 4, 1, -2, -5?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 578294539?\nAnswer: 29, 73, 173, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.327 + 14.627. Let d = g - 14. Which is the biggest value? (a) 3 (b) d (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of 1\/3*i**3 - 1 + 0*i + 0*i**2. Let t(h) = 2*h. Calculate z(t(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**5*f)**(-2\/117)*(f**1)**19)**(-39) assuming f is positive.\nAnswer: f**(-737)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, b: 3}. What is prob of sequence bl?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 58 * -0.28\nAnswer: -16.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of m**4\/24 - m**3\/6 + 16*m**2. Let s = -10 - -16. Suppose -b = -z, 2 = 5*z - 3. Let h(w) = -7*w + 5. Calculate b*h(t) + s*d(t).\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(325) - sqrt(325)*3)**2 + sqrt(325)).\nAnswer: 5*sqrt(13) + 1300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d. Let l(n) = 13305*n**2. Calculate b(l(w)).\nAnswer: 26610*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.25 - -12.75. Let m = 13.8 - l. Let z = m + -1.2. Which is the second biggest value? (a) 3 (b) z (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*w + 842 + 56*w - 38*w.\nAnswer: 92*w + 842","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0032 + -10721932289.\nAnswer: -10721932288.9968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + 2*u - 3*u + 3*u - u + (u - 4*u + 5*u)*(-3 - 3 + 4) + 2*u - u + 0*u + (4*u + 0*u + 14*u)*(-20 - 17 + 1).\nAnswer: -650*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-1 - 1))\/2*-8. Let y = o + 6. Which is greater: y or -13?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -438003 (base 10) in base 12?\nAnswer: -191583","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, k: 1, e: 2, n: 2}. Give prob of sequence wk.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1467648, -2935322, -4403008, -5870700, -7338392?\n\"Answer: k**3 - 12*k**2 - 1467645*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 2\/5, 4, -11, -4\/25?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6739 and -20?\nAnswer: -134780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1186235863 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 51968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 193221131 times 0.4\nAnswer: 77288452.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43.09728 kilometers to nanometers.\nAnswer: 43097280000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 61348 and 980?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13867*n = 5*h - 13871*n + 53, -h = -4*n + 33 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 351*i**5 + 226*i**3 + 43*i**5 - 57*i**2 - 55*i**2 - 116*i**4 - 392*i**5 = 0. Calculate i.\nAnswer: 0, 1, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4395, 4175, 3955?\nAnswer: 3735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3786*z**2 - 67111*z**2 - 27490*z**2.\nAnswer: -98387*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 22 = 5*x, 5 = 3*f - 1. Let u be x\/(-1)*2\/(-4). What is the remainder when 11 - (1*u + 2) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14997792 and 2499632.\nAnswer: 14997792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 8:24 AM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 550.9201943 rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/(1536\/1944)*(-6)\/(-9).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and 671595167.19126.\nAnswer: 671595166.99126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6 - -6)*2\/4. Suppose v = -r + 3*r - 178. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (6\/(-15) - 213\/(-120)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3794.36*-74.8\nAnswer: 283818.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3482*z**2 + 1310*z**2 - 3350*z**2 - 5860*z**2.\nAnswer: -11382*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - 54*d - 24. Let w(q) = -q**2 + 53*q + 20. Calculate -5*w(y) - 4*x(y).\nAnswer: y**2 - 49*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/858 and 123\/499160?\nAnswer: 214139640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -b - 79, 16*t - 37 = 13*t - 2*b. Solve -3*i = 3*k - t, i = 3*k + k + 5 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4477 + 5971. Is g a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m = 342 - 166. Suppose -m*i + 787 = -15449. What is the hundreds digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 106, 118, 130, 142, 154, 166?\nAnswer: 178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 2 - 9 + a)*(5*a - 15 + 15)*(0 + 2 + 0) + (0 - 2 + 0)*(-a**2 + 0*a + 0*a) - 3*a**2 + 5*a**2 - a**2 as i + k*a + f*a**2 and give k.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 895.81.\nAnswer: -4479.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 99297826?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 2 = -2*z. Let b be z*(2 - 0\/(-1)). Let v be ((-4)\/(-8))\/(3\/6). Which is smaller: b or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j**(-1\/2)*j*j)\/j)**(-12\/13)\/(j**0)**(-22\/7)*(j\/(j*j**(-1\/4)))**(18\/7)\/(j**4*j*j\/(j\/(j\/((j\/((j**6*j*j)\/j))\/j)))) assuming j is positive.\nAnswer: j**(-2501\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirteen fifths of a gram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-6))\/(3\/(-9)). Suppose 0 = 2*g - 9 + v. Suppose 3*q = 4*r + 5, -2*r + 13 = 5*q - g*r. Sort -1\/6, q, -0.4.\nAnswer: -0.4, -1\/6, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/5? (a) 220 (b) -16 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0*n**2 - 2*n**2 + 0*n**2)*(3 - 5 + 1) + (2*n + 4*n + 2*n)*(-6*n + 25*n - n))*(0*n - 2*n + n) in the form f + w*n**3 + g*n + u*n**2 and give w.\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -68 + 73. Solve -t = 2*s + 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3328\/1696 - 8\/(-212).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/4)*n*n**(-5))\/((n*n**(-3))\/n*n**(-1\/7)))**(-4) assuming n is positive.\nAnswer: n**(17\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 189 and 60690?\nAnswer: 546210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of -5*t**4\/24 - 5*t**3\/6 + 4*t**2. Differentiate h(y) with respect to y.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (s**2 + 3*s**2 - 2*s**2)*(39226887 + 7101*s - 39226887) in the form l*s**3 + t + o*s + h*s**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 323127463?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**2 + 68874840*g - 68874835.\nAnswer: -5*(g - 13774967)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*b**3 + 117*b**3 - 47*b**3 + 162*b**3.\nAnswer: 221*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/23 - 36\/115. What is the nearest to n in -3, -5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 3\/4, -4, 0, -2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 1276\/110)*(-110)\/(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3*d = 5. Suppose -25 = d*u, -3*n + n + 3*u + 55 = 0. Suppose -k - n = -5*k. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-1)*56\/168)\/(410\/656)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-76 - -76)*1\/(-1). Solve 43*f - 47*f = c for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from ggggagagaagag.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 217, 4, -1 in ascending order.\nAnswer: -1, 1, 4, 217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.03 - 0.03. Let t = 0.729 - 0.502. Let n = -0.073 - t. Which is the nearest to j? (a) -0.1 (b) n (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 34*z**2 + 2*z - 66. Let v be x(34). Solve -5*a + v*a = 15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*s - 12*s + 360. Suppose -5*k - 11 = -l, 2 = 4*k - l + 11. Which is greater: s or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (262\/(-131))\/((88\/24)\/11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-4*(sqrt(66)\/(sqrt(24)\/sqrt(4)*2) + -1)**2 + -2)*6.\nAnswer: -72*sqrt(11) + 258","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 1755 = -7*l - 6*l. Calculate the remainder when 370 is divided by l.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 304237?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 18\/5 of a millennium?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -0.3. Let x = -0.03653 - -8.03653. What is the second biggest value in n, 4\/5, x?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/62 - (-86400)\/(-1395). Let s be 4\/(-18) + 1668\/(-27). Let n = c - s. Is 3 at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/15? (a) -2\/7 (b) -14 (c) 4\/3 (d) -22\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 5*x + 40 = 56, 5*x + 22 = -4*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.10096 centuries in months?\nAnswer: 7321.152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/56)\/((-12)\/16)*-18.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 7, l: 3}. Give prob of picking 1 l and 3 i.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60223?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -225 + 227. Let w(a) = -13*a - 1. Calculate w(i).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -5*u**3 + 20*u**2 + 6*u + 2. Determine z(4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and -3830.26884.\nAnswer: -3830.26884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -290*y**4 - 705*y**3 - 240*y**2 + 20*y = 0.\nAnswer: -2, -1\/2, 0, 2\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 201356149 or 201356150?\nAnswer: 201356150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3550, 3549, 3548, 3547, 3546, 3545?\n\"Answer: -r + 3551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 43808865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6 + -13 + 75*14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*z + 5*z + 0*z + 8*z to h*z + q and give h.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4048 and -0.13?\nAnswer: 526.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*z - 0. Solve z*p + 4*i - 1 = 0, -9*p + 1 = -5*p + 3*i for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 643 is divided by 52?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 224534311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.209 plus -9372?\nAnswer: -9343.791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.051000583059 - -0.4.\nAnswer: 0.451000583059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26343*q**4 - 26309*q**4 - q**3 - 2*q**2 - 1 + 2*q + 52585*q**4 to the form j*q + t + u*q**4 + w*q**3 + l*q**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -265 divided by -53?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-6*322\/126)\/(((-286)\/(-39))\/(-11))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39 + 44. Suppose j - 3*q - 204 = 0, -d*q + 7*q + 207 = j. What are the prime factors of j?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4176)\/(-108) - 40)*((-51)\/78 - -1)\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(4\/5)*w*w**(3\/4))**(-47) assuming w is positive.\nAnswer: w**(-2397\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/((-1)\/5*3). Are b and 5 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35910 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence scl when three letters picked without replacement from qqqqqzlcqqqtss.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*g = 10*o + 270, 0*g - 2*g + 32 = 2*o + 2 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, o: 8}. Give prob of sequence mooo.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 6 + (14 - (2 - -9))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3674*t**3 - 1362*t**2 - 8*t - 32. Let x(f) = 9*f**2 + f + 4. Let j(a) = -8*x(a) - z(a). What is the third derivative of j(k) wrt k?\nAnswer: -22044","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-14))**37\/(t*((t\/t**14)\/t*t)\/t)**(-3\/13) assuming t is positive.\nAnswer: t**(-521)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5678 and 1670.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-3 - 1) - (5 + -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -287496*l - 2371842 - 124*l**3 - 17710*l**2 - 140*l**3 - 2*l**4 + 4642*l**2.\nAnswer: -2*(l + 33)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.23*3101.8.\nAnswer: 713.414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-392048*f**3 + 392048*f**3 - 447*f**4)*(2*f + 1 - f - 3).\nAnswer: -447*f**5 + 894*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3598 (base 16) to base 9.\nAnswer: 20734","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 384?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -47, -4.\nAnswer: -47, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express o + 1 - 3*o - 14 - 7*o**2 + 2*o**3 - 10*o**2 + 15*o**2 as r*o**2 + j*o + m + d*o**3 and give m.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**4\/7 - 35040*i**3 - 3434192*i**2\/7 - 14718336*i\/7 - 2523168 = 0. Calculate i.\nAnswer: -6, -2, 122654","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 7493717 = 1493717. Round r to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 418 - 2 = 0. Suppose 0 = y*v - 99*v + 15. What is the smallest value in 0.29, 4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (261\/30)\/(-54 + (-36618)\/(-680))\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 145*b + 6. Let a be x(-12). Let o be ((-8)\/(-28))\/(9*4\/a). Suppose -1\/7*v**2 + 0 - o*v**3 + 0*v = 0. What is v?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 293100 - 166069. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*c - 543 = -623 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*20*(-56)\/(-20). Calculate the highest common divisor of k and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6698 to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 2*i + 10 = 5*j, -15 = 3*i. Let v = -2 + j. Suppose 2*q - 12 = -v. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-0.028\nAnswer: -0.0112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1692 and 52796322?\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - f + 8, -4*v = 3*f - 7 + 2. Suppose -5*b - 21 = 4. Put 3, b, 6, v in descending order.\nAnswer: 6, 3, v, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 121186 and 470466?\nAnswer: 483168582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -5*t. Suppose 152*p + 77*p - 916 = 0. Suppose -p*v = -3*i - 1331, 4*v - i - 1002 - 327 = t. Is v a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 1, -6*s - 4*l + 46 = -s. Let o be 4\/(-2)*75\/(-10). Suppose 2*y - o = 5*d, -23 = -4*y - d + 4*d. What is the greatest common factor of y and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.2, 1\/7, 68?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*m + 106266 = -k, 35*m - 34*m - k = 5592. Is m a multiple of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 49. Let j = -565 + 570. Let x(l) = 2*l**2 + 9*l + 13. Let f be x(j). What is the highest common divisor of f and k?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**2. Let k(d) = 241487869*d. Determine p(k(u)).\nAnswer: 116632781748322322*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from jhjhyjjsshhjhyjyhjh?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22.2 - 22. Let o = 0.5 + 0. What is the nearest to y in o, -3, -0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -5. Suppose 1 = -2*l + 3*t + 8, 0 = l - t - f. Find the third derivative of 5*r**2 - 120*r**5 + r**2 + 124*r**l wrt r.\nAnswer: 240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 132 = c, -738 = -4*c - 4*p - 226. Calculate the remainder when c is divided by 57.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1009 divided by -677?\nAnswer: -1009\/677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21730 = -6*z - 4*z. Let d = -12937\/6 + z. Calculate the common denominator of 19\/14 and d.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90\/(-9) - (-24 + (-5)\/(-1))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 + 2*l + 1. What is r(6)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 124049*l**2*p - 140001524*l**2 + 163*p wrt p.\nAnswer: 124049*l**2 + 163","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 22*t + 0 = 210, 5*w + 6*t - 3*t = 55 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(20\/(-8)) - 2. Suppose 3*c + v = 6. Solve -9 = i + c*i, z + 2*i + 4 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 13, 64, 159, 310, 529, 828, 1219?\n\"Answer: 2*u**3 + 10*u**2 + 7*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -215, -40, 261, 694, 1265?\nAnswer: 1980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -969*d. Let u(h) = 67564*h. Calculate b(u(i)).\nAnswer: -65469516*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/8)\/((-3)\/8)*(-196)\/(-5880).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34 - 101\/3. Let s be 1\/(2 + -3 + 6). What is the nearest to 2\/3 in -3, s, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*c = 141*c - 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 1017?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 15, 17, 19, 21, 23, 25?\n\"Answer: 2*d + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2802682 is divided by 22419.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11018 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -4*f + 2 - 3*f**2 - f + f. Let r(q) = -10*q**2 - 13*q + 6. Suppose -39*a - 60 + 14 = -16*a. Determine a*r(o) + 7*p(o).\nAnswer: -o**2 - 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by -470951?\nAnswer: -18\/470951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 274*m + 2440 = 518*m for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3405933, -13623724, -30653375, -54494886?\n\"Answer: -3405930*b**2 - b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 1024*l**3 - 2*l**2 - 263*l - 8. Let f(v) = 2048*v**3 - 5*v**2 - 527*v - 20. Let a(j) = -2*f(j) + 5*n(j). What is the second derivative of a(w) wrt w?\nAnswer: 6144*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -563966, -563965, -563964, -563963?\nAnswer: -563962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of 41*k**3 - k**2 + 3*k. Let f be n(4). Suppose 0 = m - 5*u - 461, 3*m + 5*u - f = m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f - 10. Let i(d) = 2*d + 21. Let k(l) = -6*i(l) - 13*t(l). What is the units digit of k(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.09709968676 to 6 decimal places.\nAnswer: 0.0971","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38 and 297274.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -93229 <= -372917\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 - -33. Suppose -9 = -25*g - o. Let a = 12 - 8. What is the third smallest value in 0.2, a, g?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/11, -18, -1\/5, -0.5, 0.5 in decreasing order.\nAnswer: 0.5, -1\/5, -3\/11, -0.5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(1 - 0) + (-91)\/77?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21434 is divided by 8201.\nAnswer: 5032","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/27)\/((-1)\/(-6)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of 10*f + 5*f**2 + 0*f**3 + 1\/2*f**4 + 0. Let u(r) be the first derivative of h(r). Let l(q) = q. Calculate l(u(n)).\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 23*i**3 - 39*i**2 + 8*i - 7. What are the prime factors of p(4)?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 4*n + 2322 = 0, -3694 = -3*a - 2*n - 215. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 5*j = 29, -20 = -4*j - 0*j. Suppose 5*i = 2*y - 225, 405 = g*y + i - 2*i. Suppose 9 - 59 = -2*n. Calculate the highest common factor of y and n.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42036*z**2 + 68465*z wrt z?\nAnswer: 84072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5677957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -366*r + 381*r - 84 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13264897\/462 + -86137\/3. What is the common denominator of r and (-117)\/312 + 731\/168?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fufufwuuffu. What is prob of sequence fu?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 + 4 + (1 + 1 + 0)*(3 - 2 - 4))*(2*v + 1 - 1).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/6*2)\/((-11)\/3)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1931, 1926, 1919, 1910, 1899?\n\"Answer: -n**2 - 2*n + 1934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -4 - ((9 - 3) + 3 - 29)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllllrxhxpxrxrxhhr. Give prob of picking 1 l, 2 x, and 1 r.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 24 = 4*s + 4*r, -5*s - 24 = -4*r. Let b = s + 281. Is 30 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m**3 - 17*m**2 + 20*m + 7. Let z(w) = w**3 - 5*w**2 + w. Let u(c) = -o(c) + 2*z(c). Give u(5).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 25*b + 175. Calculate r(16).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/35*112\/80?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 748 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 116 - 3 - (-3992 + 3990)?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/6 of a minute?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10927625 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 5*x - 1781, -20*i - 701 = -2*x - 15*i. Calculate the remainder when x is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -29*x**3 + 2*x**2 + 99?\nAnswer: -87*x**2 + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 117467.934 rounded to the nearest ten?\nAnswer: 117470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -3*u + 41. Let d be q(13). Solve -d = -4*c + 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n**10*n)*n**(-7)*(n**8*n)\/(n\/((n\/(n**(-1\/9)\/n))\/n)) assuming n is positive.\nAnswer: n**(-71\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -10*u - 1\/2*u**2 + 0 + 13\/3*u**4 - 1\/6*u**3. Does 11 divide n(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 m when three letters picked without replacement from {f: 6, m: 9, i: 1, n: 2}?\nAnswer: 45\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i**2 - 2*i - 4. What is s(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*q + 10. Let t be (-84)\/(-6)*1\/q. Let d = t - -164. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-23 + -5)*273\/(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 9*c**3 + 2*c**2 - 2*c + 2. Let i(m) = -36*m**3 - 9*m**2 + 9*m - 9. Give -2*i(k) - 9*o(k).\nAnswer: -9*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13.6, 0.27, -4 in descending order.\nAnswer: 0.27, -4, -13.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from mpppmmppypmyjpppypmp?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2475270454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3690887291 and -10856.\nAnswer: 3690876435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 76620456 by -290229.\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 629, 632, 637, 644, 653, 664?\nAnswer: 677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 91187\/670 + (-3)\/30. Calculate the greatest common divisor of d and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-4 - 0) - 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l - 5 = -5*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1513901 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: 0.399048 + -295344\nAnswer: -295343.600952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 61 (b) -35 (c) 0.3 (d) 139\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2927188 is divided by 265?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46.6 + 40.49. Let f = o - -0.11. Let u = f - -7. What is the nearest to u in 4, 1\/3, 0?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2562589, -8 in descending order.\nAnswer: 1, -8, -2562589","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a millennium in centuries?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v\/v**(-2\/3))\/v*v)\/v)**(2\/105)*v*v**(2\/17)*v**(2\/23)\/v assuming v is positive.\nAnswer: v**(5822\/24633)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 5*b**2 - 5*b + 6. Let r be v(-6). Suppose -4*n + 71 = z, r = -5*n + 3*z + z + 73. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3376, 0.1, -3?\nAnswer: -3376","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 3. Suppose f = -o*m + 168, 5*m - 4*f = 318 - 21. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 120 and 630?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17372*l**2*m*x - 48*l**2*x**2 + 190*l**2 + 4757458*l*m*x**2 + 3*l*m*x + 3*x wrt x?\nAnswer: -96*l**2 + 9514916*l*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 452798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 (base 9) in base 4?\nAnswer: 11121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 3*k = -k + 16, 5*l + k - 16 = 0. Find the second derivative of a - 5*a**3 + 3*a**3 - a**l wrt a.\nAnswer: -18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 64 - 65. Let d = -0.058 - -5.458. Let j = -0.4 + d. Which is the second biggest value? (a) j (b) 1\/6 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from snnsnsnssssssnssnss. Give prob of sequence sn.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - 48?\nAnswer: -4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011111011000 + -1010011101000?\nAnswer: -10110011000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13825116 is divided by 2199?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -o**2 - 43*o - 42 = 0.\nAnswer: -42, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -11\/4, -0.02, 0.4?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -6*l**2\/5 - 85892*l\/5 + 200578 = 0.\nAnswer: -14327, 35\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 1693*h + 2847. Let t(s) = -10*s - 3. Let q(f) = -a(f) + 2*t(f). Differentiate q(k) with respect to k.\nAnswer: -1713","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-73 + 12 + -6)\/(-17) + 5 + -9\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35098.49 + 35098.8399954. Let s = i + -0.35. Round s to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1.3, 3, -111, -66, -4?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 87. Suppose -95*m - 105 = -107*m + 183. Calculate the remainder when k(0) is divided by m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllhhhhlhllhl. What is prob of sequence hll?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 - -4. Let q = 15.5 + f. Let z = q - -5.5. What is the closest to 0 in z, 0.2, -2\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - z = -22, -2*z + 6*z - 28 = -5*u. Suppose o + 1 - u = 0. What is the third derivative of -4*g**2 - 2*g**o - 2*g**2 + g**3 wrt g?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1840\/(-34500)*3\/2.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3116, -3070, -3000, -2912, -2812?\nAnswer: -2706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 858180 divided by -57212.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27468)\/327*((-3)\/(-6))\/(3\/(-2)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, f: 1, x: 2, q: 6, l: 8, g: 1}. What is prob of sequence lqc?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 3*v**2 + 2*v + 1. Let h be o(-2). Suppose p - 2*n = -1, -3*n + h = 2*p + 5. Suppose -x + 3*x = -23*x. Solve y + p*y = x for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 247\/71 or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 + (26 + -65 - -70).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -46 and -9.76357?\nAnswer: 36.23643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, s: 13}. What is prob of sequence wsws?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/4 + 8\/16. What is the nearest to 0 in -0.2, y, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 + (-9 - 0) + (13 - 11) - 12\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 98, 1, -4, 5, -93534, 4 in decreasing order.\nAnswer: 98, 5, 4, 1, -4, -93534","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 16 = -s, 3*o + 7 = -3*s - 17. Let l be (10\/3 + o)*(-27)\/1. Find the second derivative of -18 + 0*j**5 + l - 6*j**5 + 7*j wrt j.\nAnswer: -120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 62585723 to the power of 1\/2, to the nearest integer?\nAnswer: 7911","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -87 + 197. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18295 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, 0.06, 10, -4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5547311 to the nearest integer?\nAnswer: 2355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1151400 divided by 46056.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.21 * -25.69\nAnswer: 5.3949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -7. Let r be (-37)\/(-5) + 2\/(-5). Solve r*q - 4 = 4*q - y, 2*y - v = -4*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 10*f**3 + 31*f**2 + 4*f + 18. What is s(-3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 915.1846 days to nanoseconds.\nAnswer: 79071949440000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1522 + -1522. Solve j = -p - 3*i - 6, -2*p = -6*p + 4*i + 24 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(375)*-2 + -4*sqrt(45)\/sqrt(3))\/(((-3*sqrt(54))\/sqrt(3) - sqrt(18))\/sqrt(6)) + -1.\nAnswer: -1 + 14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 21381, 85526, 192435, 342108, 534545?\n\"Answer: 21382*y**2 - y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 510203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 13*f**2 + 63*f + 115. Determine z(-8).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*57\/(-10)*(-820)\/492.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**2*z))**(2\/17))**43 assuming z is positive.\nAnswer: z**(-172\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 2\/3 (c) 0.08 (d) -869 (e) 5\/3 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3 - 454*k**2\/3 + 26432*k\/9 - 25088\/9.\nAnswer: 2*(k - 1)*(3*k - 112)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286292 is divided by 205.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sxxsxx. Give prob of picking 2 x and 1 s.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o*o*o\/(o*o\/o**(-22)))*o**(4\/13)\/o assuming o is positive.\nAnswer: o**(277\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/2, -3.3, 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*x - g - 3, 0 = 5*x + 7*g - 26. Let l(a) = -a - 1. Let s(c) = 5*c - 1. Determine x*l(n) - s(n).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-20)\/(-8)*(-18)\/15. Let l be (1 + 0)*(-3 - r). Suppose 3*v - 2*v - 20 = 5*p, l = v - 4*p - 17. Solve 7 = v*s - 3 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/3, 0.14, -9\/29?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2295*i**2 - 7*i + 161. Let v(o) = o**2 + o - 23. Give 4*n(a) + 28*v(a).\nAnswer: -9152*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + l**2 + 26. Let y be i(0). What is the greatest common factor of 65 and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, -1.2, 3\/2, 4?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -11. Suppose -3*n + 0 = -x - 1, 0 = -4*n + 5*x - 6. Let d = m + n. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u*u**(-24)*u*u**(-30)*u assuming u is positive.\nAnswer: u**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4286?\nAnswer: 2, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -189636*p**3 + 163*p**2 - 327142443*p?\nAnswer: -1137816*p + 326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -45.9 - -46. What is the closest to o in 3\/4, 5, 4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -30c + 19?\nAnswer: -2e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -186 - -26. Let d be (-10)\/45 - f\/234. Which is bigger: -0.1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 239 or 236?\nAnswer: 239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/32)\/((-60)\/(-176)). Let b = 17\/10 - s. What is the closest to 2\/3 in -4, b, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75020203.\nAnswer: 75020203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - l = -7, -4*i + 2*i + 2*l = -6. Let o be (-1)\/i*(-8)\/(-16). Is o <= 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 - 17 - 21)*(-5*x + 6*x - 2*x)*(0 - 5 + 4)*(1 - 2*x - 1).\nAnswer: 28*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*q - 12 + 12 to m + l*q and give l.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -7 + 10 + (8 - 14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 142 - 82. Let l = b - 39. Does 44 divide (-2)\/6*(-10269)\/l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (47\/3)\/((-309)\/927)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b + 15 = 14*b. Sort 1\/2, b, 2.\nAnswer: 1\/2, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1473645007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5779 by 2.\nAnswer: -5779\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.04 - 0.34. Let r = 1.99 - -0.01. Let x = -2.2 + r. What is the biggest value in n, -2\/7, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2614?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by 34?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3*g - 3. Let h be d(6). Suppose -5*l - 356 = 4*s - 358, -l + 8*s - 26 = 0. What is the tens digit of (l - (-20)\/h)*-342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2a - 20?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -307746 - 426.\nAnswer: -308172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 219070 - 63776 = 2*q + 5*r, -2*q - 2*r + 155288 = 0. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**3\/7 + 1940*r**2\/7 - 560274*r\/7 + 5889312 = 0?\nAnswer: 112, 429","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -161, -143111 in ascending order.\nAnswer: -143111, -161, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1262795 (base 13) to base 5.\nAnswer: -2432341320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -133751 or -136559?\nAnswer: -136559","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -737268 (base 9) in base 4?\nAnswer: -1223001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q + 12 + 5*q**2 + 5 - 19 - 2*q**2 as a + d*q + t*q**2 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-3 - -4) - (7 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197371 is divided by 6331.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 4467.66101 to the nearest ten.\nAnswer: 4470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -469 - 8?\nAnswer: -473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (17 + 6 - 14)*(4 + 2*v**2 - 4 + (66*v - 114*v + 69*v)*(3*v - 3*v - 2*v)) as s + t*v**2 + y*v and give t.\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - 5*u + 8. Let y be f(-6). Let k = -70 + 78. Solve 2*p + 2*w = -w - 8, k = -y*p + w for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -13*r**3 + 24*r - 12. Let h(y) = y**3 - 2*y + 1. Let k(f) = -22*h(f) - 2*u(f). Let d be k(1). Solve -6*q = 22 + d for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 5*r - 183, 4*i = 8*r - 10*r + 90. What is the first derivative of -12 - 31*b + 39*b + r*b wrt b?\nAnswer: 47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 368201?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 61*m**2 - 229*m + 1358. Give j(-65).\nAnswer: -657","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13*f**2*j**2 + 28*f**2*j + f*j**3 + 2*j**3 + 99*j**2 wrt f?\nAnswer: 26*f*j**2 + 56*f*j + j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 8.47, -0.009?\nAnswer: 8.47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33184389.\nAnswer: 3, 7, 557, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hk when two letters picked without replacement from hhhhkhhh.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7714341509?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.2, -16252.5, -1, -1\/2 in descending order.\nAnswer: 1, 0.2, -1\/2, -1, -16252.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 53482 = -15*v + 12*v, -2*v = -4*q - 35668. What is the thousands digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-10)\/(-35)*(-65)\/(-10) and -25.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**2 + 2 + 0*j**2 - 6 + 18 to the form f*j**2 + w*j + v and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**5 + 17*g**4 - 106*g**3 + 88*g**2 = 0 for g.\nAnswer: -22, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 91451?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -70 and 3.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i**2 + 2*i**2 + 0*i**2)*(1 - 1 - 2*i + (-5*i - 13*i - 7*i)*(3 - 5 + 5)).\nAnswer: 154*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - ((14 - 19) + -15).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 6:00 PM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2782, -2801, -2842, -2911, -3014, -3157, -3346, -3587?\nAnswer: -3886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000066559 rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 2*t - 27579, -4*t - 157 - 16382 = -3*x. Suppose -i + x + 6083 = 0. What is i rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 4.372852\nAnswer: 21.86426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 6:54 AM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134945?\nAnswer: 5, 137, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 75. Suppose 78*b - 792 = l*b. Does 6 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (0 - -1 - -2) - -8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 160 = -34*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.6, 5, -575\/2 in descending order.\nAnswer: 5, 3.6, -575\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**2 + 7*t + 2. Let w be z(-4). Let i(y) = w*y**2 + y + 2*y**2 - 13 + 1 - 7*y**2. Let s be i(-4). Solve -5*l + 6 + 14 = s for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -20?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -7 + 5 + 42588\/22. Let y = s + -1931. What is the common denominator of 49\/6 and y?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -70\/3 and 37\/970?\nAnswer: 2910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k - 159 = -1335. Let f = -129 + k. What is the remainder when 120 is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-320)\/(-96)*(-3)\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 50 - 60. Let n(t) = -t**3 - 16*t**2 - 2*t + 3. Let v(p) = -2*p**3 - 31*p**2 - 4*p + 6. Let h(w) = -7*n(w) + 3*v(w). Is h(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p. Let r(d) = 3*d**2 - 2*d - d**2 - 5*d**2 + d**2. Let x(g) = -2*g**2 - 3*g. Let w(q) = 3*r(q) - 2*x(q). What is f(w(y))?\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18729234.\nAnswer: 2, 3, 811, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of p**7\/360 + p**6\/720 + 3*p**4\/4 + 6*p**2. Let k(v) be the second derivative of g(v). Calculate k(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(245) + 1 + 5 + (sqrt(245) - -1*(sqrt(245) - -2*sqrt(245))).\nAnswer: 6 + 35*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6431350*s**3 + 6*s**2 - 13130*s - 731 wrt s?\nAnswer: 38588100*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 5) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x + 53 = 113. Sort x, 0.5, -2\/9, 0 in descending order.\nAnswer: 0.5, 0, -2\/9, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-4)*(-6)\/(-3). Suppose h*l + 48 = -l. Let t = l - -32. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -142, -519, -1256, -2473?\nAnswer: -4290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2*-9.171\nAnswer: -18.342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8732\/118)\/(1628\/352)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 7 (b) 4 (c) -109\/2 (d) -4 (e) -0.145\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-27)\/(-24))*12\/432*3?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -f**2\/2 + 7*f - 56. Let d(y) = y. Determine d(v(o)).\nAnswer: -o + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 7.71 * 0.0366\nAnswer: 0.282186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.803018 tonnes in grams?\nAnswer: 8803018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 831 or 828?\nAnswer: 831","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 8*a - 53 = -4*z, 0 = 3*z + 3. Solve -2*l + 14 = -5*o, -3*o + a*l - 15*l = 14 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 4:36 PM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 258667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 + 2*y. Let i be 15\/9 + (-6)\/9. What is the remainder when -2*(-2)\/10*5 is divided by p(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -2*i - 4*o, 9*i - 6*i + 22 = 2*o for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, h: 2, m: 4, y: 1}. Give prob of sequence wm.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f + 5. Calculate s(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 10:55 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 divided by 115114?\nAnswer: -35\/57557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(3\/4)\/(u*u\/(u*u**6)*u*u))\/(u**(1\/3))**(-39) assuming u is positive.\nAnswer: u**(67\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -480 = 32*h - 24*h. Let k = -53 - h. Solve -2*n + 3*m + 1 = 0, -3*m = -2 - k for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -2*h + 9 - 1, 7 = 4*x - h. Let s(u) = -9*u + 20*u**2 - 13 + 10*u + 11*u**x. Is s(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 215, 358, 487, 602, 703?\n\"Answer: -7*q**2 + 164*q + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 17*l**2 + l - 26. Let u(z) = 18*z**2 - 24. Let k(r) = 3*u(r) - 2*y(r). Factor k(h).\nAnswer: 2*(h - 1)*(h + 1)*(h + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, -1\/2, 2\/7, 0.6?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -272259 > -272256?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -4) + -40 + 39 - 6 - 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3484 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185 is divided by 55.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i**2*k**3 + 5210718*i**2*k**2 + 608650*i*k**3 + 2*i*k + 4*i - 3*k wrt i?\nAnswer: -4*k**3 + 10421436*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 r when two letters picked without replacement from {a: 7, r: 3, p: 5, o: 4}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -52\nAnswer: -208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4c + -4?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (39 - 12 - 16 - 23)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -103743, -103915, -104089, -104265, -104443, -104623, -104805?\n\"Answer: -t**2 - 169*t - 103573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -341 + 343. Suppose -h*b = -9291 - 7915. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(275)*-1)**2 + 1.\nAnswer: 10*sqrt(11) + 277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105224 and 50176?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -600.\nAnswer: -3000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 330304 divided by 1\nAnswer: 330304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 280 = -6*x - 5*h, -5*h = 3*x - 215. Suppose 17*j = 16*j - 18. Let f be (j\/24)\/(321\/(-156) - -2). Calculate the highest common divisor of f and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-146)\/3)\/(((-12)\/(-81))\/(5110\/(-22995))).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 1. Let s = 251 + -2009\/8. Sort s, -4\/5, o in ascending order.\nAnswer: -4\/5, s, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 10) to base 16\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -5*s - 11, 0 = 3*x + 5*s - 128. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/3 - (-100)\/12. Suppose -6*d - 4*l - 38 = -m*d, 4*d - 39 = 3*l. Let w(b) = 2*b**2 - 5*b + 2. Does 22 divide w(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -193 + 415\/2. Let a = -184983\/20 - -9251. Calculate the common denominator of a and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l - 800 = 7*l. Let r = l - -85. Is r a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 57002 and 352?\nAnswer: 912032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -108*v**2 + 697*v + 13. Determine y(6).\nAnswer: 307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*3*51\/(-153).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -526.2 - -594. Let r = -68 + h. Sort 2\/5, -0.02, r in descending order.\nAnswer: 2\/5, -0.02, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79855 is divided by 56.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.07 equal to -47030.493?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 26041894 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 10:10 PM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3*c = 0. Is c at least as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + a - 36 = 0, 3*m - 20 = 3*a - 2*a. Suppose 2*x = m*x - 25. What is the third derivative of -64*i**4 - 12*i**2 + 64*i**4 + 7*i**x - 4*i**2 wrt i?\nAnswer: 420*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*u - 2*u - 2*u)*(-5*u - 34 + 34) + 25*u**2 - u**2 + 79*u**2.\nAnswer: 88*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4978 + -637. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 2\/2587556215?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -30. Let r be (-4)\/(-22) - (-84)\/22. Suppose -r*i + 0*i = -5*h - 155, -4*i - 4*h = -164. Calculate the remainder when i is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, s: 9}. Give prob of sequence mssm.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 76 and 2?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1444 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -4*v**5\/7 + 316*v**4\/7 - 520*v**3\/7 - 7592*v**2\/7 + 15500*v\/7 - 1100 = 0.\nAnswer: -5, 1, 5, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9.751 + 0.149. Let n = 9.9 - g. Which is the closest to 1\/2? (a) n (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of c**2*z**2 + c**2 + 124*c + 90*z**2 wrt c.\nAnswer: 2*c*z**2 + 2*c + 124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -4*p + 35*p + p + 30*p - 5. Is c(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5\/4 of a kilogram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 - (-2 + 6 + -6 + -3) - 8.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 5*n + 16, -2*n + 1 = 9. Let w be ((-2)\/12)\/(g\/(-9)). Let f = 110 + -108. Is w bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 18*d**2 + 18*d - 11. Give w(-19).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2852950, 5705872, 8558794, 11411716?\n\"Answer: 2852922*n + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -5*z - 5*i, 6166*z - 2*i + 13 = 6171*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-4.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(65)\/(-2*1*sqrt(5)) - sqrt(117)\/(sqrt(36)*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -6*p**3 + 2*p**2 + 5*p + 2. Suppose 4*i - 5*k + 4 = 0, -5*i = 5*k - 18 - 22. Let b(x) = -6*x**3 + 2*x**2 + 4*x + 2. Determine i*a(o) - 5*b(o).\nAnswer: 6*o**3 - 2*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.73 + 0.730278. What is p rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -93412501.3 from 0.\nAnswer: 93412501.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**3\/7 - 9916*l**2\/7 - 368225*l\/7 - 358308\/7 = 0 for l.\nAnswer: -36, -1, 9953","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/55 and 89\/825.\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1695463 divided by -1695463?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 4*r + 144 = 0, -2*g - 2*g - 144 = -4*r. Let x = -17 - g. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + 6*t**2 - t - 5. Let j be f(-6). Suppose -5*y = 4*n - 10 - j, -n + 3*y = 10. Let k be 0 - 0 - 1*3. Sort 4, n, k in ascending order.\nAnswer: k, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 r when two letters picked without replacement from {s: 2, r: 4}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 24*p**2 - 6*p - 2. Let w be z(-3). What is the highest common divisor of w and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 + 22. Suppose -s = l*s + 3*t - 28, 5*s - 22 = 3*t. Let i(z) = -z + 7. Determine i(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 0.99, 5?\nAnswer: 0.99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5\/23 - 31\/69. What is the closest to -0.2 in -5, -2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(-12)*9*-1. Let b = d + -10. Suppose -8 - 4 = 4*x. Is b bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4*3)\/((-6)\/(-4)). Let p be (-38)\/t + (-1)\/(-4). Suppose -3*b = y - 14, 4*b = p*y + 10 - 4. Solve 0 = b*i + 6 - 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = -2*i + 2. Let r = -47 - i. Let y(u) = 4*u**2 - u + 18. Is y(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -738*y - 7. Let z(m) = -2*m**3 + 19*m**2 - 12*m + 22. Let b be (-9)\/(0 - (-4)\/(-4)). Let t be z(b). Is s(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -5 - 1. Let a(q) = -7*q**2 + q + v*q**2 - q. Let z(c) = -c + 1. Let g(p) = -5*p + 10. Let b(n) = g(n) - 10*z(n). Give a(b(t)).\nAnswer: -25*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 7*r**2 - 1. Let z(l) = -34*l**2 + 5. Let b(k) = 10*y(k) + 2*z(k). Let i(t) be the first derivative of -7*t + 1 + t**3 + 7*t. Give b(i(d)).\nAnswer: 18*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f - 1. Determine v(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) 2 (b) -17.478 (c) -106\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2322 (base 4) to base 12\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 34*x**3 - 2*x**2 - 2*x - 1. Let i be w(-1). Is -1 + 3 - i\/5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 20935.6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1294 from -134092.6.\nAnswer: -132798.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -148*j**3*o*s**2 + 8*j**3*o*s - 4*j**3*s**2 + 650*j**2*o*s + j*o + 5*j*s**2 wrt j.\nAnswer: -888*o*s**2 + 48*o*s - 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 4*z**3 + 8*z**2 + 637*z - 30. Let c(f) = f**3 + 3*f**2 + 318*f - 12. What is 5*c(t) - 2*v(t)?\nAnswer: -3*t**3 - t**2 + 316*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t - 2. Let c be r(3). Let z be (-27360038)\/(-171) - c\/18. Round z to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(1\/(-1))*32*19\/76.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -1. Let q = -30 - -23. Let n be 2*q\/((-70)\/(-4)). What is the nearest to t in 1\/4, n, 0.4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(162) + (sqrt(72)*-1 - sqrt(72)))\/((-2*sqrt(72)*5)\/sqrt(12)))**2.\nAnswer: 507\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*f + 7*f - 33 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 3\/2, -1\/3, 292?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -343*(-30)\/(-624)*2\/(-95). Let k = 3\/76 - u. Is k at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(931) + 1 + 5 - -2*(sqrt(931) + -1)**2 - (6*sqrt(1425))\/(sqrt(36)\/sqrt(3))).\nAnswer: -36*sqrt(19) + 1870","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*l + 5*v - 24 = 71*l, 2*v = -2*l + 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/(-40) - (-231)\/12. Let l(a) be the first derivative of 0*a**2 - f*a - 21 + 25\/3*a**3. Differentiate l(t) with respect to t.\nAnswer: 50*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.1289 - 0.1289. Sort 4, -5, -33, m in increasing order.\nAnswer: -33, -5, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {v: 1, t: 2, l: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -66 - -69. Suppose -19 = -5*n + 1, 347 = q*x - n. Is x a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -1. Suppose 211*b + 74 = 216*b + 2*q, 0 = -2*q - 6. Suppose 0 + 9 = 3*v. Solve -b = -4*y, -h*u + v*y - 6 = u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 150248\/11 - 578156185\/42328. Let n = j - 1\/104. Which is smaller: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -150 + 154. Suppose -5*f - 4 = w*y, f + 4*f + 2*y + 2 = 0. Put -2, 2, 1, f in decreasing order.\nAnswer: 2, 1, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -u**2\/2 + 1. Let m = -254 - -889. Let f(p) = -2*p + m - 635. What is f(b(h))?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.65 - -0.35. Let h = 2\/199 - -1783\/796. Let w = -31\/12 + h. What is the third biggest value in 4, n, w, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67650267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/8 + p\/4 - 6.\nAnswer: (p - 6)*(p + 8)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 - 5412*j**2 - 2496*j**3 + 2495*j**3 + 31.\nAnswer: -j**3 - 5412*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.6203271l?\nAnswer: 620.3271","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01022345 rounded to 4 dps?\nAnswer: -0.0102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4920 and 4592?\nAnswer: 68880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.17 - -6.83. What is the nearest to 1\/3 in s, 1\/5, -5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q**3 - 3*q**3 + 6*q**2 + q**3 + 3*q**2 in the form f*q**3 + n + v*q + m*q**2 and give m.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12399 = 1258*l - 28867 - 248 for l.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001351538 to 7 dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 + 10*h - 6. Suppose 26*l - 36 = 22*l. Let j be t(l). What is the common denominator of 115\/12 and -174*(j - (-196)\/(-64))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/896 and -43\/6176.\nAnswer: 172928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/1275 and -61\/30?\nAnswer: 2550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 23*j + 105 = -6*j. What is the remainder when (1480\/30)\/((-2)\/(-3)) is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1)\/s*s**(-1)\/s*(s*s**(1\/4))\/s**(1\/7))\/(((s\/(s**(-1\/4)*s)*s)\/s**0)\/((s*s**(-3\/4))\/(s**(-2)*s))) assuming s is positive.\nAnswer: s**(-81\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*x**5 + 223048*x**4 - 334548*x**3 + 167270*x**2 - 27878*x.\nAnswer: -2*x*(x - 13939)*(2*x - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide (-3 + 0)*-10*(-12)\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -2*m + 8. Suppose m*p - 51 = p - 4*s, -5*p + 5*s + 50 = 0. Calculate the remainder when 5*13 - (9 + -7) is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -88186 + 131864. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1176 - -1705. What is the hundreds digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = a - 2*a - 6, j - 3*a = 8. Is (j - -2)*(3 + 136) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 2.628 (c) -1 (d) 0.7 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 91 + -91.2. Let j = -6.5 + 11. Let r = 4 - j. What is the biggest value in x, 0.06, r?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 29*b**2 + 160*b - 7266. Calculate m(25).\nAnswer: -766","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -6183 <= -6171?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p + 14*p + 40 = 0. Let h(n) = -n**2 - 24*n - 4. Is h(p) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of g**2 + 1\/60*g**6 - 1\/70*g**7 + 0*g**3 + 1\/20*g**5 - 1\/12*g**4 + 0*g + 0. Factor u(m).\nAnswer: -m*(m - 1)*(m + 1)*(3*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (18 - 10)\/(-16)*(0 - 32). Let r(o) be the third derivative of b*o**2 + 11\/24*o**4 + 0*o - 17\/6*o**3 + 0. What is the derivative of r(t) wrt t?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002188 rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12091 = -1779*w - 2091 - 75823 for w.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2 + 2 + sqrt(3) + 3*sqrt(27))**2 + -5 + 2.\nAnswer: 80*sqrt(3) + 314","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q - 3*q + 4*q)*(-q**3 - 4*q**3 + 3*q**3) + (1 + 2*q**3 - 1)*(513*q + 291*q - 197*q).\nAnswer: 1218*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r - 6. Let q be m(-5). Suppose -3*o + q = -3*w, 5*w + 3*o + 18 = -21. Let f(c) = -c + 9. Let i(s) = s - 8. Calculate w*f(j) - 7*i(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001194128 rounded to 7 decimal places?\nAnswer: 0.0000119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5912880 and 13632.\nAnswer: 23651520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 5:06 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 2*c**3 - 940*c**2 + 57878*c - 486780 = 0.\nAnswer: 10, 61, 399","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/10 of a microgram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10906 - -20202. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 6 = 12*a. Let n(s) = s + 4240. Let l be n(0). Suppose a*g + l = -2*g. What is g rounded to the nearest one hundred?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6639769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of -y**6\/120 - y**5\/60 - 2*y**2 - 1604. Let a(s) = 4*s**3 + 6*s**2. What is -a(w) - 5*x(w)?\nAnswer: w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 212 and 10.\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -1217\nAnswer: 243.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-1 - 10\/10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100001120 + -12200?\nAnswer: 33322320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of 3*g**4\/8 + 25*g**3\/6 + 9*g**2 - 18*g + 965. Suppose r(z) = 0. What is z?\nAnswer: -6, -3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 5*c + 6, 5*c = 2*i + 14 - 2. Let b(u) be the second derivative of -u**4\/12 - u**3 - 9*u**2\/2 - 78*u. Determine b(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -6*w**2 + 4*w - 4. Suppose p = v + 3*p - 4, v - 4 = -3*p. Let l(t) = -t**2 + t - 1. Let y(b) = v*l(b) - n(b). Factor y(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 at least as big as 1\/2135?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 17*s**2 + 8 + 6 + 3.\nAnswer: 17*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1206177 (base 9) to base 14\nAnswer: 13050c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -15. Let x(y) = -y**3 - 6*y**2 - 7*y - 6. Give x(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6282, -12568, -18856, -25146, -31438, -37732?\n\"Answer: -k**2 - 6283*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 189205 and 420517.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163 = m - 8*j + 3*j, -435 = -3*m - 3*j. Let g = 282 - m. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 44 = 4*h + 8, 3 = 3*h. Let n be 2\/(-1) - f\/(-4). Let d be (-2)\/(-6) - 40\/(-6). Solve -2*w = n*p - d*w, -5*p + w = 20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13\/5 - 66\/25. Let t = -5 - -6. Which is bigger: p or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = u - 2*q - 3, -3*u - 6 = -q. Suppose -5*x + 2*p = 18, -2*p - p - 23 = 5*x. Let r be (-40)\/18 + x\/(-18). Which is greater: r or u?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*o + 128 + 12. Suppose 0 = 2*w - 5*f + 9 - 74, 2 = 2*f. Let i = o + w. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**2 + 3*k**2 - 3*k**2 - 1 - 2*k**2 + 1 + (-2*k - k + 2*k)*(3*k - 5*k + 4*k) - 4*k**2 + 2*k**2 + 3*k**2 - k**2 - k + k - k.\nAnswer: -5*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 8737 (base 10) to base 7\nAnswer: 34321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 2:48 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 26334.777 days?\nAnswer: 3762.111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 - -748662?\nAnswer: 748668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**3 + 37*m**2 + 155*m - 75. What is r(-10)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of 9*x**2 - 132*x - 90. Let i be b(10). What is the highest common factor of 36 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f + 1. Let b(p) = -6408*p - p**2 - p**2 - 2 + 6405*p. Determine b(y) + 4*t(y).\nAnswer: -2*y**2 + y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30\/(-10) - 36\/(-1).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a**3 + 30*a**2 - 24*a - 248. What is l(-10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 15344 = -3*x, -19*x + 3072 = k - 18*x. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + -12 - -1) + -5?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91000 is divided by 18199.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/9 and ((-1)\/5)\/(12\/(-1335)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**(-3\/10)\/w*w))\/w)\/((w\/w**(-13))\/w*w) assuming w is positive.\nAnswer: w**(-147\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - z**2 + 19*z - 3. Let d be r(-5). Is (4 - 6 - d) + 3810\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 - 19. What is the third derivative of -70*n**2 + y - 1 + 48*n**2 - 3*n**3 wrt n?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 434491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/7, 3448, -0.5, 0.006?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8775044 millilitres in litres?\nAnswer: 0.0008775044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 q when two letters picked without replacement from bqmbbpqrpzbzrrz.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 11) to base 6\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -2\/5 (c) -5 (d) 2 (e) 157586\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -446 (base 10) to base 3.\nAnswer: -121112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 31089963 - -19?\nAnswer: 31089981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -56 + 294. Is 17 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6659323*22.\nAnswer: -146505106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*y + 45*y + 12. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (115*i + 115*i - 232*i + 76)*(1 + 1 - 1).\nAnswer: -2*i + 76","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5808192949 to the nearest integer?\nAnswer: 1798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4 = 0, 9 = 2*b + 5*i - 11. Suppose -b*d = 95 - 455. Calculate the greatest common divisor of d and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1336, -1464, -1634, -1858, -2148, -2516, -2974?\n\"Answer: -2*n**3 - 9*n**2 - 87*n - 1238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 5*c - 4. What is the smallest common multiple of -16*(-1 + -2 + 2) and n(3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3473*l - 23*l**3 + 8*l**3 + 3512*l to j*l**2 + v + f*l + p*l**3 and give p.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 484467 is divided by 379.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11494 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 51*r + 50. Let k be g(38). What is the hundreds digit of (2 - 15\/6)*k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*q**3 - 5*q**3 - 1 + 6*q**3 + 0*q**3 + 2*q**2 as u*q + i*q**3 + t*q**2 + y and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 7:59 PM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 2864.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 + 19. Suppose -4*k + 13 = -p*o - 3, -o - 3*k = -17. Solve -3*q + 7 = 2*v, -o*v - 3*v + 2*q = -27 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/h**(-6))\/(h*h\/h**(-1))*h**(-2\/9)\/(h\/h**(4\/5)*h)*(h**(-5)\/h)\/h**(-3)*(h\/(h\/h**(2\/9)))\/((h*h**(-1))\/h) assuming h is positive.\nAnswer: h**(9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 131479423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23110617?\nAnswer: 3, 7703539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 + 17. Let t(r) = 21*r**3. Let u be t(h). List the prime factors of ((-90)\/u)\/((-3)\/(-14)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*w**3 - 65*w**3 - 214*w**3 + 7995*w - 7995*w.\nAnswer: -251*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kiy when three letters picked without replacement from iukrrkyuuykkkrckycr.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h*h**(2\/5)))**(1\/14)*(((h*h\/h**(-3))\/h)\/h*h*h)\/(h\/(h*h**4\/h*h)) assuming h is positive.\nAnswer: h**(633\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-136)\/640 - (-9)\/(-48). Which is the second smallest value? (a) 887\/5 (b) -3\/4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 94053 and 3.\nAnswer: 94053","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6649548?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) 25 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by (-6)\/6*-4 - -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*l + 17*l + 6*l.\nAnswer: 15*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (2\/7)\/((-8)\/(-90))*((-46438)\/744)\/(-107)\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20946322, -41892688, -62839052, -83785414?\nAnswer: -104731774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -14444, -14167, -13902, -13649, -13408?\n\"Answer: -6*t**2 + 295*t - 14733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of -f**7\/42 + 4*f**6\/15 - f**5 + 4*f**4\/3 - 102*f. Factor q(b).\nAnswer: -b**2*(b - 4)*(b - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 444 - 449. Is 20441*g\/(-30) + 3\/18 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 616658559?\nAnswer: 3, 11, 269, 69467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.086, -5\/98, 0.02 in descending order.\nAnswer: 0.02, -5\/98, -0.086, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and 115 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (78\/18)\/(2\/(-11232)*-3).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111320221212 (base 4) in base 9?\nAnswer: 11713683","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -13*r**2 - 56*r - 565. Determine g(-9).\nAnswer: -1114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3675 - -2326. Let i = -4037\/3 - c. Find z such that -2\/3*z**2 - 8\/3*z + i = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 5) to base 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -44*k**3 + 6*k**2 + 49*k + 251. List the prime factors of r(-9).\nAnswer: 2, 8093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 139*c. Let r(m) = -2*m**2. What is r(p(i))?\nAnswer: -38642*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**(1\/2)*l**(-5)*l*l**(-3)*l*l*l*l*l**(-6\/7)\/l*l assuming l is positive.\nAnswer: l**(-47\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**5 - 18*y**4 + 33*y**3 - 18*y**2.\nAnswer: 3*y**2*(y - 3)*(y - 2)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1505 - -1517. Calculate the remainder when 23 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (456\/171)\/((30\/(-9))\/(-5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/8*(5525\/26)\/(-25)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-255)\/(-153))\/(10\/36)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 15. Suppose -j = -12*j + j. Solve 0 = 2*f - f - a*s, -2*f - 3*s - 13 = j for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8907 - 5092. Let a = -2280 + f. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(76)*-2)**2*4*-4 - (0 + (sqrt(76) + 2)**2 + 0)*2.\nAnswer: -5088 + 240*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8190921 is divided by 1430?\nAnswer: 1311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 0*r + r + (-2*r - r + 4*r)*(-4 + 2 + 0) + r + 0*r + 0*r)*(-5 + 5 - r**2).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -275 - -299. Calculate the highest common factor of 60 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15\/8? (a) -0.5 (b) -3897 (c) 1\/3 (d) -1 (e) 2 (f) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 244704432 to the nearest integer?\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1237 is divided by 123.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/7 or -5\/2044251?\nAnswer: -5\/2044251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -r**7\/42 - r**5\/6 - r**2 - 2. Let o(c) be the second derivative of u(c). Find the third derivative of o(k) wrt k.\nAnswer: -120*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.045364373 and -191657.\nAnswer: -191656.954635627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.7 + -1.23. What is b rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/7 or -359?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2522655 is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 + -29 + -23 - -42?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 564, 2275, 5130, 9129?\nAnswer: 14272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + -3)*-6 - (1 + sqrt(17) + -1 + 5))**2.\nAnswer: -338*sqrt(17) + 3042","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**2. Let o(c) = -81*c**2 + 100*c. Determine o(y(k)).\nAnswer: -324*k**4 + 200*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 22940, -4, -3 in ascending order.\nAnswer: -4, -3, 22940","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17285 + -4277. List the prime factors of l\/66 - (-2)\/(-22).\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 6*(5*((0 + sqrt(539))**2 + sqrt(539)) - (0 + sqrt(539) + -3)**2).\nAnswer: 462*sqrt(11) + 12880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4336 + -4328. Calculate the lowest common multiple of v and 478.\nAnswer: 1912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -u**2 - 5489*u + 1090752 = 0.\nAnswer: -5681, 192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 569.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113191?\nAnswer: 13, 8707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20815 + -187936\/9. Let n = g + 67. What is the closest to -1 in -4, n, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(1 + 3 - 2)*(2 - 1 - 2)*(0*i**5 + 0*i**5 - 4*i**5).\nAnswer: 8*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 5:25 PM?\nAnswer: 3:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 79987247963 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from pppppppipip?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-3)*369\/(-82)*6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 3*t**2 - 13*t. Let b be a(-5). Let m be (-326)\/(-2) + (-2)\/(-1). What is the highest common factor of b and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -5*k**2 + 5*k + 2. Let s(o) = 4*o**2 - 4*o - 1. Let h(r) = 5*b(r) + 6*s(r). Let v be h(0). Solve q + 15 = -v*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(325) + (sqrt(325) - (sqrt(325) + 2)))*-4 - 3*-1*sqrt(325))**2*-3 + -2.\nAnswer: -1169 + 240*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56175713 to the nearest integer?\nAnswer: 7495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzbbzbfzzgzzffggbf. Give prob of sequence zff.\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.6 (b) -68 (c) -1\/3 (d) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15450367?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3688382, -7376767, -11065152, -14753537, -18441922, -22130307?\n\"Answer: -3688385*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, e: 1, c: 1, w: 3, i: 1}. What is prob of sequence ei?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rxrrrrxlrxrvryrxm. What is prob of sequence xlr?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -1080270 and -1080270 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 962\/3*(-6)\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 70165.9 and -0.07.\nAnswer: 70165.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2*j - 2 = 21, -4*j + 45 = 5*m. Let i = -352 - -2. Calculate the remainder when (2 + 2)*(i\/(-8))\/7 is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/33 (b) -43 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 10:27 PM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of -38*o**3\/3 - o**2 - 11*o + 57. Find the second derivative of c(q) wrt q.\nAnswer: -76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -x**5\/20 - x**4\/4 - x**3\/6 - 3*x**2\/2 + 2*x. Let s be o(-3). Is 706 + (-1 + s)*-1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 43 and -5114?\nAnswer: -219902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(3\/7)\/v**5)\/(v\/((v**(2\/15)\/v)\/v*v)*v**(4\/3)*v*v)*(v\/v**(-1\/5)*v**(-1))\/(v**(-1\/4)*v)**(-7\/2) assuming v is positive.\nAnswer: v**(-389\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*c + 16 + 65. Suppose 0 = -z - w + 2*w + 3, 0 = -4*z + 2*w + 6. Put c, -4, z in descending order.\nAnswer: c, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0410215492+-399\nAnswer: -399.0410215492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -73422 by -12237.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10248\/976*8\/42. Factor 8\/9 - 2\/9*k**p - 2\/3*k.\nAnswer: -2*(k - 1)*(k + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4222 rounded to two decimal places?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1648.073 litres to millilitres.\nAnswer: 1648073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -1. Suppose 5*q - i*g - 2*g - 129 = 0, 2*q - 55 = 5*g. Let p = -18 + q. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*1*sqrt(19)*2 + sqrt(133)\/(sqrt(28)\/sqrt(4)*-1 - sqrt(7)).\nAnswer: 11*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 7 - 7)*(0*s + 3*s - s)*(-2 + 3 - 2).\nAnswer: 24*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 2 + (-3 - (-2 + 4)) - -5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6036*p**2*w**3 - p**2 - 3*p*w - 20*p - w**2 wrt w.\nAnswer: 36216*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 502\/(-3*2\/3). Let x = v + 276. Calculate the remainder when x is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -884349500 rounded to the nearest one million?\nAnswer: -884000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (867 + 1409 + 3376 + 4091 + 3581)*(-r**5 + 2*r**5 - 3*r**5).\nAnswer: -26648*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 2*t**3\/7 - 283701634*t**2\/7 + 10060827283634560*t\/7 - 10060826999932928\/7 = 0.\nAnswer: 1, 70925408","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -140182, -280353, -420502, -560629?\nAnswer: -700734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7410 + 7406. What is the smallest value in a, 188, -0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - 2*b - 1. Suppose 5*s + 35 = y, -4*y + 15 = -4*s - 29. Let l be (-2)\/s*(3 - 0). Let t be (-1)\/((1\/2)\/l). Calculate j(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = 4*c - 35. Let x be 10\/45 - c\/18. Is -2\/3 equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -14*r**3 + 14991*r**2 + 33263*r - 11. Determine n(1073).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 11\/44 + 19\/4. What is the highest common factor of 55 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/9, -1565, -5?\nAnswer: -1565","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2173371 to the power of 1\/2, to the nearest integer?\nAnswer: 1474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 109*u**2 - 767*u + 36. Give m(8).\nAnswer: 364","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 118107476 to the nearest integer?\nAnswer: 10868","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 2*i - 3*i = 9, -h + 4*i - 6 = 0. Let d be 1*(-2)\/(h\/3). Is (174\/1)\/d + -3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (1 - 7 - (3 - -2)) - -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 5*j + 2. Let g = j + 4. Suppose o + g*o - 28 = 0. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**2 - 318*c**3 + 231*c**3 - 613*c**3.\nAnswer: -700*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by ((-30)\/(-90))\/(2\/96)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -259*l*q**4 - 2*l*q**3 - 9*l*q + 5*l + 2*q wrt q.\nAnswer: -3108*l*q**2 - 12*l*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*w + 1325 + 787. What is the highest common factor of w and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 - -44. Suppose t - 22 + 5 = -4*n, 3*t - q = -4*n. Calculate the common denominator of -26\/3 and 9\/(-8) + (2 - n).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1786 + w**2 - 2*w**2 + 55.\nAnswer: -w**2 + 1841","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 9:19 PM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -19 + 247*b**2 + 367*b + 2350*b**3 - 2348*b**3 + 141 = 0. Calculate b.\nAnswer: -122, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 484 and 484.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 668, 2551, 5688, 10079, 15724?\n\"Answer: 627*a**2 + 2*a + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -8*1085.9\nAnswer: -8687.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 447\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -19. Let h = u + -7. Which is the closest to -0.1? (a) h (b) -3 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65, 491, 1217, 2255, 3617, 5315, 7361, 9767?\nAnswer: 12545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 - -245101?\nAnswer: 245094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9642 + -188.\nAnswer: -188.9642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*-1 - (-2 + -1). Let p(g) be the third derivative of g**6\/120 - g**5\/30 - g**4\/12 - g**3\/2 + 4*g**2. Let l be p(3). Solve l = -w*z - 7 - 3 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 0*t - t + 2 - 4 - 9. Let l be c(-13). Factor -2 - 2*h + h**3 - 2 - 4*h**3 - h**3 + 10*h**l.\nAnswer: -2*(h - 2)*(h - 1)*(2*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-127)\/120 + -1 + (-1)\/(-3) and 47\/15.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14234 to the power of 1\/2, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24112542.\nAnswer: 2, 3, 4018757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - (3 + 10*(-1)\/2). What is the remainder when 22 is divided by 84\/18 - t\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -88465 to the nearest one thousand.\nAnswer: -88000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 496, 0, -33, -1 in decreasing order.\nAnswer: 496, 5, 0, -1, -5, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 179*o + 55*o + 1 + 145*o + 77*o. Is u(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 12361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/18 - 34\/(-12). Suppose -3*y + 5*s + 8 = -0*y, n*y + 5*s + 32 = 0. Let c be (-20 - (-3 - y))\/(-1). Calculate the greatest common divisor of 3 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of 0 + 1\/9*g**2 + 5*g - 2\/27*g**3 + 0*g**4 - 1\/135*g**6 + 1\/45*g**5. Determine s so that p(s) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1 (b) 5\/3 (c) 2 (d) 2\/3 (e) -2\/7 (f) -37 (g) -0.32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 31523*f + 608042 - 608042 in the form a + n*f and give n.\nAnswer: 31523","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -681115.906042 and -0.3.\nAnswer: -681116.206042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -528470420, -528470424, -528470428?\n\"Answer: -4*x - 528470416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27011 is divided by 482.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-96)\/52)\/((-36)\/234)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 4*i**2 + 2*i + 2. Let s be n(-3). Suppose -6 = 4*b - s*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwx when three letters picked without replacement from bbbxgwgbbowg.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15607587*j**4 + 275*j**2 - 1744.\nAnswer: 374582088*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 3 + 3. Let s be p*10 - (2 - 1). Suppose -4*i = -5*i + s. Solve -l = 4*g + i, l - 1 = 3*g + 15 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5517 (base 8) to base 7\nAnswer: 11304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y + 8. Let z(i) = 4*i + 9. Let v(b) = -5*d(b) + 4*z(b). Determine v(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.5 - -1.5. Suppose 2*f = -3*f. Which is the nearest to -1\/4? (a) w (b) -2\/13 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-5))\/((-3)\/60*4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 87\/5 - (618\/(-30) - -21). Let q(n) = -n**2 - 9*n. Let c(k) be the first derivative of -k**3 - 13*k**2 - 1. Determine x*q(s) - 6*c(s).\nAnswer: s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 9 (b) -12 (c) 55275\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6882749.\nAnswer: 823, 8363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -21*n - 23*n - 13*n - 30*n + 16 + 2*n**2 + 64*n. Calculate b(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8349427, -8349284, -8349139, -8348992, -8348843, -8348692, -8348539?\n\"Answer: f**2 + 140*f - 8349568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 0.3 (c) -1 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.41941 plus 940.358?\nAnswer: 931.93859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 237781, 237702, 237623, 237544, 237465?\n\"Answer: -79*t + 237860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -49611*l + 43815 wrt l?\nAnswer: -49611","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 53005 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -110879.138+7.993\nAnswer: -110871.145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3005\/246 + 43\/41. Calculate the common denominator of c and 83\/5236.\nAnswer: 15708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -359\/8884 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 120*c - 100*c + 60 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 10:24 PM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -56088 or -56087?\nAnswer: -56088","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/758 and -28\/1137.\nAnswer: 2274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 108\/11 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 28*w**2 + 130*w - 43. Let u be i(32). Solve -1 = -4*l - u for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1169.2 - -1168.8. Which is the closest to -1? (a) s (b) -0.5 (c) 13 (d) -10\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = -5*m - 0*m. Let j = 45 + m. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*39\/36*(-24)\/234*-3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34911062?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2184 - 0.00764\nAnswer: -2184.00764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78, 417, 988, 1773, 2754, 3913?\nAnswer: 5232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 321242 - -43?\nAnswer: 321340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -17 - 11 - 8*x - 173*x - 53*x. Let i be p(8). What is i rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 32*r - 10. Let v(j) = 32*j - 9. Give 6*q(i) - 7*v(i).\nAnswer: -32*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 8*s - 4. Let b be v(-4). Let t(i) = -2*i**2 - 30*i - 64. Let m be t(-10). What is the tens digit of 7064\/m - (-8)\/b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158835 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of d**4\/12 + d**3\/2 + 3*d**2 + 6*d. Let u be q(-4). Calculate the highest common factor of 4 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4032, -3907, -3698, -3405, -3028, -2567?\n\"Answer: 42*v**2 - v - 4073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 488208388?\nAnswer: 2, 29, 439, 9587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**3\/11 + 14756664*d**2\/11 + 2*d\/11 - 14756664\/11 = 0. What is d?\nAnswer: -1, 1, 7378332","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(448) + -2*sqrt(448))**2*6*2 + -1)*3.\nAnswer: 32250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 6. Let a = 4 - q. Suppose -i + 8 = -a. Is 15 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 241806557?\nAnswer: 241806557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 29387576033 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1917)\/1917*62\/2.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 10:17 AM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -480557.1468 + 480637. Let t = 80 - c. What is t rounded to 2 decimal places?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -0.2, 0.07 in decreasing order.\nAnswer: 21, 0.07, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/198 + (-1 - 4 - 126\/33)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**18)\/z**(1\/14) assuming z is positive.\nAnswer: z**(-239\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -31684, -32010, -32336, -32662, -32988?\n\"Answer: -326*d - 31358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4662 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 0*x = 0. Let i(a) be the second derivative of -1\/6*a**4 + a + x*a**3 + a**2 + 0. Differentiate i(q) with respect to q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -32, 58, 6 in decreasing order.\nAnswer: 58, 6, 2, 0, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2931 is divided by 586?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1085, 1086, 1087, 1088?\n\"Answer: j + 1084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6207 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4*d + 28 - 109 = 0, 87 = n + 2*d. Suppose m + n - 70 = 0. Let p be 40\/m*27\/(-6). Solve -p = -0*h + 4*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 9, w: 8, m: 2}. What is prob of sequence mwl?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 6:37 AM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4588574 and 101056?\nAnswer: 3158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1765)\/10)\/((-1)\/2). Suppose 3*a - 262 - m = 0. What are the prime factors of a?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64032 = -294*o + 62*o. Calculate the highest common divisor of 2628 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert f4e5 (base 16) to base 6.\nAnswer: 1202125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*o, -3*d = -4*d - 2*o + 4. Suppose -d = 2*s - 6*s. Suppose 3*v = -s*p - 3 - 3, -2*v + 3*p + 16 = 0. Solve -f = v*f + 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3766 divided by 538\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*x**4 - 37*x**2 + 37*x**2)*(-2 + 4 - 3*x + 4*x).\nAnswer: -11*x**5 - 22*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -41 + 3211?\nAnswer: 3170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -197*x - 2. Let y(q) = 49*q**2 - 1. What is c(y(z))?\nAnswer: -9653*z**2 + 195","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 86933855*u. Let t(r) = 4*r**2. What is v(t(a))?\nAnswer: 347735420*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 36\/126153181 and 88\/34405413.\nAnswer: 378459543","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 120 and 360.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 137 - 138. Let w be 0*((84\/(-9))\/(-7) + i). Which is bigger: 11 or w?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -71 - -113. What are the prime factors of i?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/7 (b) -2\/11 (c) -0.1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (169\/(-143))\/13*2.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 - (-102)\/27) + (-2)\/(-9). Let b(k) = p - 2*k - 15*k - 20. What are the prime factors of b(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 490412212 to the nearest integer?\nAnswer: 789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 1\/3, 18, 348?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 11 = -c, -2 = -0*w - w + c. Let o = w + -3. Let h = 279 - 279. Solve h = n - f - 2 + 1, o = 3*n - 4*f - 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, -16, 1.9, -5, -1, -1\/16?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 897, 4, -0.8, -2, 18\/7 in decreasing order.\nAnswer: 897, 4, 18\/7, -0.8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -20*l - 24*l + 125 + 6*l - 129. Is 17 a factor of u(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*a + 0*a - a**2)*(235 - 17*a - 235)*(0*a + 0*a + a) in the form w*a**2 + i + y*a + t*a**4 + k*a**3 and give t.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2112)*-2*5)\/(2*(sqrt(22)\/(sqrt(2) - (sqrt(2)*-1 + sqrt(2))) + sqrt(11))*-6).\nAnswer: 20*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6792083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 3*z - 60, 2*z - 2*i = -7*i + 43. Suppose j = 4*f + f + 28, 2*j = -5*f - z. Suppose 2*x + 2*y = 6*x - 130, -j*x = 4*y - 70. Is 15 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10317356 - -1?\nAnswer: 10317357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 296 a factor of 2544120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 h when four letters picked without replacement from hhrfohhhoohqr?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**2 + 14*s + 164. Determine n(-7).\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/4*(-5 + -5). Let w = z - -23. Let y(l) = 7189*l**2 - 12*l. Let u be y(w). What is u rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 2\/15*k**2 + 456968\/15 + 1912\/15*k = 0.\nAnswer: -478","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 139 = 4*w, -4835*j + 4840*j - 97 = 2*w for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 11 - 26. Let i(h) be the first derivative of 0*h - 1\/4*h**4 + 1\/5*h**w - 8 + 0*h**3 + 0*h**2. Factor i(q).\nAnswer: q**3*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31118\/5 + -13613\/2. Let x = -591 - v. What is the common denominator of 52\/7 and x?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -5*f**4\/2 + 5*f**3 - 5*f**2\/2 - 24. Find k such that q(k) = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60670?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 93.47 to 0 dps.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13115175 divided by -2.\nAnswer: -13115175\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 48 - 17 = 0. Let t = -11 - k. Solve 3*z = -t*j - 14, 12 = -3*j - 2*z - 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 5*h + 0*h = 15, 0 = 3*u - 3*h - 9. Factor -1\/3 + y**4 - 1\/3*y**u - 2\/3*y**3 + y - 2\/3*y**2.\nAnswer: -(y - 1)**4*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28877?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 535 and 1091828.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**2 + 3*n - 4. Let l be p(-3). Suppose -3*u + 5*i = 2*u - 30, l*i = 0. Suppose 0 = u*a - a - 475. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36100 and 2000.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - 2) + (-57 - -41) + (2 - -7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 14*f + 88. Is r(8) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.09 and 145.\nAnswer: 144.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-74)\/(-3)*3447\/766. Solve h*s + 2 = 112*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1696, -3398, -5096, -6790, -8480?\nAnswer: -10166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -4*f**2 - 1397*f + 2. Let v(l) = 4*l. Give p(v(k)).\nAnswer: -64*k**2 - 5588*k + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10639 - -15118. Suppose -9*s - 447 = -n. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -91*x + 2*x**4 + 2*x**3 - 2 + 91*x as l*x**2 + n + m*x + f*x**4 + d*x**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(99)*1 + -4*sqrt(99)*1)*5 + -1)**2*5.\nAnswer: 300*sqrt(11) + 49505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131052?\nAnswer: 2, 3, 67, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-4) - -1)\/((-8)\/32).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -4758.\nAnswer: -1903.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/234? (a) -14 (b) 0.3 (c) 1 (d) -0.5 (e) -35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - x. Let h(d) = 5*d**2 + 7*d + 2. Let t(c) = h(c) + 4*w(c). Suppose t(z) = 0. What is z?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -2 + 6. Let v = -929\/20 + 236\/5. Solve 1\/4*m**3 + v*m**l - 9\/4*m**2 + 3\/4*m + 1\/2 = 0 for m.\nAnswer: -2, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1a712 (base 13) to base 3\nAnswer: -2121221220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -h - 3*r, 4*h - r - 7 = 5*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a = -12*a - 104. Are a and -26 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -0.059435055286\nAnswer: -4.940564944714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - ((-315)\/75)\/((-14)\/180) - (-6)\/1.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -8. Let o be 8\/2 - (3\/(-4))\/(254\/(-1270)). Which is the smallest value? (a) 1.4 (b) 0.5 (c) o (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 56520 and -5.\nAnswer: -282600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**4 - 692*j**3 + 4056*j**2 - 8048*j + 5344.\nAnswer: 4*(j - 167)*(j - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 6 - 5)*(38 - 57 + 94) + (-2 + 1 + 0)*(2 + 0 - 3) + 0 - 2 + 0 + 0 + 3 - 5)*(-3*l**4 + 3*l**4 - l**4)*(0 + 1 - 2).\nAnswer: -228*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*k - 3*k - 2*k)*(-2 + 4 - 3)*(-5 + 1 + 3)*(11 - 5*k**2 - 11) as r*k + a*k**2 + q + c*k**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 3:27 AM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.011 in 1686, -0.059, -2\/9?\nAnswer: -0.059","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 k when three letters picked without replacement from {k: 4, c: 7, t: 3}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 3 + (-3 - (5 + 7))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, v: 3, z: 8, x: 3, m: 1}. What is prob of sequence miz?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3\/9 + 1372*z**2\/9 - 119680*z\/9 + 115600\/3.\nAnswer: -4*(z - 170)**2*(z - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1482)\/117)\/((-8)\/(-3))*4?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - g**2 + 2*g + 1. Let t(h) = -59*h**4 - 4*h**3 - 4*h**2 + 79*h + 4. Let r(m) = 4*i(m) - t(m). What is the second derivative of r(w) wrt w?\nAnswer: 708*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/7 in -3, -62, -4\/7, -3\/55?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67206 is divided by 542?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 2. Suppose k = -3*d + 55 - 10. Suppose -5*i = -2*i - d. Which is the third smallest value? (a) -0.5 (b) 1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68494322 a multiple of 299?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 221 - 124. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110*i - 177*i + 119*i - 25*i.\nAnswer: 27*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4056851*v**3*x**3 + 181112*v*x + 4*x**3 wrt v.\nAnswer: -24341106*v*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 4. Let g = -10 - z. Let q = 10.5 + g. What is the second biggest value in -1, q, 1\/4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 9. Let i = 227 - 2045\/9. Let u = 1 - 0.8. Which is the nearest to 2\/5? (a) i (b) v (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51418126 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -167*p**4*r**2 - 3*p**3*r**3 + p**2*r - 12*p*r**3 - 10*p*r**2 + 3*r wrt p.\nAnswer: -4008*p*r**2 - 18*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 3*w**4 + 26*w**3 - 10*w**3 - 4*w**4 - 5*w**3 - 10*w**3 - 46*w**2 + w to d + o*w + c*w**3 + m*w**2 + p*w**4 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*p - 1309 = 13*p + 83 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 1 + 29*a + 30*a + 32*a - 113*a + 23*a. Let x(c) = 12*c + 1. Calculate -3*n(t) + x(t).\nAnswer: 9*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 5795*j - 603. What is the hundreds digit of r(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 4*m + 17. Let f(u) = -u - 6. Let g(i) = 7*f(i) + 2*r(i). Let b be g(6). Let s = 4 + b. Solve s = 2*j - 2*v, -2*j + 0*v + v + 2 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -3, 115, 0, 271, -1 in increasing order.\nAnswer: -3, -1, 0, 2\/3, 115, 271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 104.51 and -74.\nAnswer: 30.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 1268?\nAnswer: 3804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -6. Let m = 4 - 4. Suppose -p*t = m, 2*g + 2*t + 6 = 5*g. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 10) in base 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15.00000013 + -15. What is v rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*a + 2*r - 3*r, -2*a - 3*r = -4. Let l(g) = 2*g - 2*g + 45*g**a - 44*g**2. Let f(j) = j. Give l(f(k)).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -203, 4, 211, 418?\n\"Answer: 207*w - 410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2*l = 56. Suppose -7*s + 1316 = 1337. Let q be (-4)\/s*(-4 - l\/8). Are q and -2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -33*g + 76. Find the third derivative of -6*s**5 + 16*s**5 - 32*s**2 + g*s**2 - 28*s**2 wrt s.\nAnswer: 600*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 64 + 4 = -2*s, -5*k + 325*s = 322*s - 76 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 5*s. Let d(a) = a - 1. Let z(x) = -x**2. Let v(f) = 2*d(f) - 3*z(f). Let u(j) = 10*j**2 + 7*j - 7. Let p(c) = -2*u(c) + 7*v(c). Give w(p(g)).\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (-61 - -23) + 39.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -4*h - 4. What is the third derivative of -3*r**2 - 12*r**3 + h*r**2 + 39*r**3 - r**2 wrt r?\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1335 and 9612.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**2)**(-41)\/((f**(2\/13)*f)\/f**(-8\/7)) assuming f is positive.\nAnswer: f**(-7671\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*f - 14*f + 36 = -5*o + 17*f - 47*f, -5*o + 5*f - 25 = -0*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12561 - -23904. Which is smaller: 2\/5 or a?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-7 + 2533 + 14 - (-12)\/2) + -6 and 1651?\nAnswer: 33020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 68\/18 + (-2)\/(-9). Let b = 5 + 1. Suppose -y = -3, r*s + y + 3 = b*y. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3\/4, -3, -94751 in descending order.\nAnswer: 3\/4, -3, -4, -94751","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h**2 - h**3 + 4*h**2 + (-5*h + h + 2*h)*(h**2 - 2*h**2 - h**2) + 4*h**2 - 4*h**2 + 2*h**3 + 280*h**3 + 34*h + 285*h**3 - 566*h**3.\nAnswer: 4*h**3 + 34*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 7*z**2 + 11*z + 3. Let c be o(-4). Suppose -11*x - 12 = -c*x. What is the closest to -0.2 in -0.2, -1, x?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 24 = -2*q, 3*q + p = q + 23. Let t = -2 + q. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 104 + 64. Suppose a - i = -a. Let m be a + 1 + -4 + -1. What is the highest common factor of 32 and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2773 - -2849. Calculate the greatest common factor of 6 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7465076162 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f**2. Let v(j) be the first derivative of j**3\/3 + 7. Give s(v(c)).\nAnswer: -2*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13166.\nAnswer: 2, 29, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q + 6. Let c be r(-3). Let k be (c + 39\/(-15))*-1. Which is smaller: -8 or k?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-4*sqrt(84))\/sqrt(12) + (sqrt(7) - (4 + -4 + sqrt(7))) + 0)**2.\nAnswer: 24*sqrt(7) + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q**4\/3 + 1552*q**3\/3 - 50696*q**2 + 299536*q\/3 - 148996\/3 = 0 for q.\nAnswer: 1, 193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 69 + -62. Suppose 174 = -i*t + 9*t. List the prime factors of t.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-980)\/(-392)*4\/85*231\/(-33)\nAnswer: -14\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 35 (b) 0.3 (c) 1\/8 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a decade in months?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 8:18 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 5*b - 9 + 24, 0 = -3*b. Let x(h) = 3*h**2 - 4*h + 17. Let y be x(v). What is the highest common factor of y and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2553)\/(-9) - -1 - (-16)\/(-24). Suppose -5*t = -3*d - 1466, d = -t - 3*d + h. What is t rounded to the nearest ten?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -97\/36 + 22\/9. Which is the nearest to 0? (a) z (b) -2 (c) -3\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 - 3*h - 1. Let o be w(4). Suppose -o*b = -m + 21, 4*b + 52 = m + m. Is 12 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15328 divided by 1916?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1348.\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 2*t**2 - 2*t - 1. Suppose -q - 3 = r, 2*q + 8 = -r - 0*q. Suppose -r = -2*a - 4. Give z(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 333 + -619. Let v = t - -442. Is 7 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 29 = -128. Let y = 97 - h. Calculate the remainder when 73 is divided by 1444\/57 + y\/(-3).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3170806?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 11:54 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 2*s = 3*h - 645, h + 3*s - 228 = 0. List the prime factors of h.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 857571 is divided by 46.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 39889, 2\/13?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-35)\/(-56))\/(5325\/(-284)))\/(2\/2).\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 - (16 + -4) - 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by -45\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001117 to four dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4151c (base 16) in base 11?\nAnswer: -173016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 - -27. Solve h*r = -5*u + 19, -2*u + 23 - 7 = 5*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q**2 - q + 1. Calculate the least common multiple of (5\/3)\/((-13)\/(-78)) and k(1).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - x - 4. Let t be k(4). Let y be (-2)\/t - (-3174)\/24. Let h be y\/28 + (-6)\/(-21). Solve 5*c + 0 = -h for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 1 - 1. Suppose -5*v = w - 1, 0 = b*w + w - 3. Suppose -c + 4*h + 35 = v, -h + 174 = c + 3*c. Does 20 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15131 - 14441. Calculate the remainder when u is divided by 220.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -61 - -64. Suppose -t*b - 71 = 91. Round b to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1637*b + 385*b = -13300 - 41294 for b.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of 0 + 5\/2*b**2 + 1\/3*b**4 - 14*b - 1\/10*b**5 + 1\/2*b**3. What are the prime factors of a(-3)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*f + 7*f + 151284. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:00 PM and 9:45 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 35, -2\/11, 2, -4\/3, -0.052 in decreasing order.\nAnswer: 35, 2, -0.052, -2\/11, -4\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 178\/14 - (57\/21 - 3). Solve -4*h + 20 = 0, -y + 3*h - h = t for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 348 and 516?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109450.\nAnswer: 2, 5, 11, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 933 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 1330.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -5, -13, -23, -35?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46535, 186173, 418915, 744767, 1163735, 1675825?\nAnswer: 2281043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 235636.5kg in tonnes?\nAnswer: 235.6365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -75 - -81. Suppose -g + m = -i, g - 5 = -4*m + 1. Solve 5*f - g - 4 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3037.9 - -0.3.\nAnswer: -3037.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-124217880)\/(-5400))\/277 + -83?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-6)*3 - 25. List the prime factors of (8\/6)\/((-2)\/b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -30 in 6, -5, 0.094, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -4 - 4*n**2 - 55*n + 5*n**2 + 53*n. Let k be (12\/(-10))\/(4\/(-10)). Calculate b(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6645\/4 + 1672. Let n = -12775\/6 + 2141. Find the common denominator of n and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - 12. Let i be 29*(-2 + -1)\/(-3). Let p = i + t. Do 7 and p have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1013 (base 5) to base 2.\nAnswer: 10000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/7)*n*n**(2\/9)*(n**(1\/2))**(-37))\/((n*n**(-8\/3))\/((n*n**14*n)\/n))**(-10\/9) assuming n is positive.\nAnswer: n**(-13423\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3367)\/(-78))\/(-37))\/((-1421)\/58).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -0.27.\nAnswer: 0.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26)\/(-78)*-4*27\/3.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 12:45 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -5*h - 3\/2*h**2 + 73\/6*h**3 + 0. Is u(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cd when two letters picked without replacement from {p: 2, d: 2, c: 4, w: 1}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -5*r**3 + 4*r**2 - r + 4. Let k(g) = -11*g**3 + 9*g**2 - 2*g + 9. Calculate 4*k(m) - 9*l(m).\nAnswer: m**3 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 a factor of 12590308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5*t - 23 = 0, 0*d = -4*d + 4*t - 28. Let n = -5 + 9. What is the least common multiple of n and (-1)\/(d\/30) - (-24)\/(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -78340\/274239 + -2\/39177. Let p = 41.17 - 41. What is the second smallest value in l, p, -0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32952882 rounded to the nearest 1000000?\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-45)\/(-12) + (-1)\/(-4). Let i = 3 - x. List the prime factors of 10 - i\/(-2 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - v - 4. Let y be m(3). Let 1\/3*a**3 - 4\/3*a**y + 5\/3*a - 2\/3 = 0. Calculate a.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 17*l + 6. Let o be u(2). Suppose 35*n - o*n = -165. Calculate the remainder when n is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yppq when four letters picked without replacement from {p: 2, q: 3, s: 2, y: 9}.\nAnswer: 9\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 3, 5*b = -g - 0*g + 158. Let 12 + 70*y**2 - b*y**2 + 20*y + y - 33*y**2 - 3*y**3 = 0. What is y?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - (1*-1)\/((-11)\/(-33)). Suppose k - 13 = -5*t. Solve 4*f - 2*n = -6*n + 12, -2*n = -2*f + t for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(13 + 167)*2)\/(2 + (-2060)\/1032)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 0, -12744, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.06 + 0.94. Let b = -0.4 - n. Let q = 0.6 - b. Is 1 less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + 19*k - 296. What are the prime factors of h(-46)?\nAnswer: 2, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3.7556715 and -4168.5.\nAnswer: -4172.2556715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 10959379.\nAnswer: -1\/10959379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*c - 143 - 25 = 0 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3231)\/3590)\/(66\/880).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 563704?\nAnswer: -563701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 42\/25, -0.7, -4\/13, 3, -3\/8, -0.12?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 4*s**2 - 11*s + 9. Let u(j) = -2*j - 46. Let k be u(-27). Let n be r(k). What is the greatest common divisor of n and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (18\/(-10))\/(-9)*35\/(-28). Let w = 39.9 + -36. Sort w, u, -1 in descending order.\nAnswer: w, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 34 (b) 20.5 (c) -2 (d) 3 (e) -0.4 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/16*8\/6*1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - 3*z - 5*z + 4973*z**3 - 2545*z**3 - 3065*z**3)*(-2*z**2 + 0*z + 0*z).\nAnswer: 1274*z**5 + 20*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of -2*v**2 - 3 + 2\/5*v**5 + 0*v**3 + 0*v**4 + 0*v. Find the second derivative of f(n) wrt n.\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -3*r + 915, 756 = -5*r + 2*h + 2293. What is the remainder when 958 is divided by r?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66715.3 times 3\nAnswer: -200145.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in twenty-seven halves of a millisecond?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/7 (b) 0.3 (c) 0 (d) 1 (e) 211 (f) 4\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-472)\/118*58\/(-8).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.4 + 6.5. Let r = 13.02 - 13. Which is the second smallest value? (a) r (b) 0 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -98 in -2\/11, 84, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1055, 1059, 1065, 1073, 1083, 1095?\n\"Answer: z**2 + z + 1053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -6. Let q = 0 - g. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/7 + 55*c + 10650\/7.\nAnswer: (c + 30)*(c + 355)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus 2699365?\nAnswer: -2699365.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 743.\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3172570 (base 8) in base 6?\nAnswer: -30111452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5043 divide 1389482661?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/((h*(h*(h**(1\/8)*h)\/h*h)\/h*h)\/h)*h)\/(h*h\/(h\/(h\/h**(-1\/9)))) assuming h is positive.\nAnswer: h**(-89\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5595237 to the power of 1\/2, to the nearest integer?\nAnswer: 2365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11288)\/(-5304) + 6\/(-13))\/(10\/84).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of -o**4\/12 + o**3\/2 + 4*o**2 + 2*o. Let r be h(6). Let z be 1*(-5)\/(r\/8). Solve -z*u + 8 - 4 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4664.6 + 0.0857?\nAnswer: -4664.5143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25563, 25566, 25569, 25572, 25575?\nAnswer: 25578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/7 - 2045310*t + 14317168\/7.\nAnswer: 2*(t - 7158584)*(t - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2728 and 8304156.\nAnswer: 182691432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**13*k)\/k*k)\/k)\/(k*k\/k**(-1\/2))*(k**(-14\/3)*k)\/((k*(k\/(k\/k**(-2))*k*k)\/k)\/k*k) assuming k is positive.\nAnswer: k**(47\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - n**2 + n. Let l(g) = -10*g**3 + 3*g**2 - 18*g + 13. Let i(c) = 5*k(c) + l(c). Let u(a) = -7*a**3 - a**2 - 6*a + 6. Give 6*i(z) - 13*u(z).\nAnswer: z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.02 (b) 1 (c) 5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 4*f + 171. Let m(y) = y + 2. Calculate -c(p) + 6*m(p).\nAnswer: 2*p - 159","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 5*y - 1. Let k(i) = -2*i - 15. Let m be k(-8). Let u be r(m). Suppose u*c + 4*s + s - 67 = 0, -4*s = -2*c + 66. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -3 - (2 - -8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37 + -33. Differentiate 1 + 43*y**4 - 2 - 19*y**k with respect to y.\nAnswer: 96*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, e: 7, o: 1, c: 3, s: 1}. Give prob of sequence cok.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 127*q + 247. Let j be f(-2). Sort -11, j, -2 in increasing order.\nAnswer: -11, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 2*a - 274, -3*a - 2*x + 456 = x. Let w = a - 78. Suppose 4*j = -5 + w. Solve -2*b + j = 4*n, 4*n + b = 7*n - 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6355411 is divided by 23803?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*z**2 - 322*z**2 + 62*z**2 + 62*z**2 + 61*z**2 + 61*z**2.\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiigviinivgivivii. What is prob of picking 2 v?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 5*w + 16. Let i be (3 + (-6)\/3)*3. Suppose -w*u + i = -1, 4*g + 5*u + 23999995 = 0. What is g rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113 + 12 = 25*d. Solve -d*c = 3*v + 22, -4 - 5 = 2*c + v for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = a + 7 + 3, 0 = 5*a + 4*t + 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**28)\/(j*j**(11\/2)) assuming j is positive.\nAnswer: j**(45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -167, 1, -8, -12?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106220518 + 2*t**2 + 106220518.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 4*h = 2915, 6*h = l + 2*h - 607. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-132)\/(-110)*5\/2. Suppose 2*h + 0 = 6. Let o = y + h. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 621 and 442290?\nAnswer: 3980610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-30))\/(2\/(-5)*40\/(-160))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1150, 1153, 1204, 1339, 1594, 2005, 2608?\nAnswer: 3439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(24)\/sqrt(2) + (sqrt(12) - (sqrt(24)\/sqrt(2)*-4 - sqrt(12))))\/(sqrt(16)\/sqrt(36) - sqrt(144)\/sqrt(4)).\nAnswer: -3*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.4052 centuries in years?\nAnswer: 3640.52","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3150 + 513101?\nAnswer: 505511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 542518529.\nAnswer: -542518527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30155?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 320413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -294 + 325. Suppose -42*o + 8503 = -v*o. List the prime factors of o.\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10.509918 + -10.5. Round v to four decimal places.\nAnswer: 0.0099","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 13 (b) 0 (c) -0.83 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + (-17)\/((-34)\/1296). Let q = -13627\/21 + h. What is the second biggest value in -3, q, 40?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + -19 + 58 + -9 + -7 - -78\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2258*p + 270 = 2264*p. Calculate the remainder when 107 is divided by p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2336 - -2487. What is the remainder when o is divided by 39?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 7*b**2. Suppose q = 2*g + 18355, -2*g = 2*q - 7*g - 36711. Let j(f) = -q - 4*f + 18353. Give j(d(y)).\nAnswer: -28*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhn when three letters picked without replacement from nnhnnnnhn?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((l - l + 2*l)*(9 + 1 + 0) + l - 2 + 2)*(-1 - 46 - 24).\nAnswer: -1491*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5216931 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -79 + 84. What is the nearest to -0.4 in -0.4, l, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30.155 - 29.855. Let g be (-1*2)\/8*2. What is the closest to -2\/3 in -1, c, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20089*p + 2*a - 42 = -20091*p, 0 = 5*p + 13*a - 257 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 8*d = 3*o - 40, 0 = -4*d - 2*o - 54. Let t = -44 - -34. Is t bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 2*f + f - 1, 0 = 2*k - 3*f - 7. Let q(v) = -v**2 - 3 - k*v - 1 + 5. Determine q(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 16*k + 7*k + 2040. Does 102 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*0.034769931\nAnswer: -0.069539862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 848962183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in -3.3, 2\/23, 0?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405) + -1 + 4 - (sqrt(405) - (1 + sqrt(405))**2)*-4) + 3.\nAnswer: -1618 - 27*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 4*p - 184, -3*m - 7*p - 136 = -12*p. Suppose -k = 128 + 46. Let h = m - k. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 549\/63)*(1 + 1).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1436 - -1440. Let s(u) = -u**3 - 5*u**2 - 4. Let y = 12 + -17. Let o be s(y). Which is the second smallest value? (a) 1\/3 (b) r (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7, 0.033, -3, 14, -0.4?\nAnswer: 0.033","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*w + 3*w + 2*w)*(-1 + 0 + 2) + (3*w - w - w + 3)*(19 - 13 - 16).\nAnswer: -12*w - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37.8 - -1.8. Sort g, 2, 0 in increasing order.\nAnswer: g, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 11 - 14. Suppose 0*f - f - 12 = -2*l, -2*f = -t*l + 28. Let n be 4\/16 + (-5)\/l. Which is the closest to -1\/4? (a) n (b) 0.1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 121 + -121.688. Let u = w - -0.188. Let h(t) = -t**3 - 4*t**2 + 4. Let z be h(-4). Do z and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/6)\/(830\/(-996)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(3\/2))**13*(u\/u**(-1\/16))\/(u\/(u*u**(-3))) assuming u is positive.\nAnswer: u**(281\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiffzefmfjz. What is prob of sequence iz?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -436, -6, -3179 in decreasing order.\nAnswer: -6, -436, -3179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y + 12 = -4*d + 3*y, 4*d + 5 = 3*y. Let w = -514 - -613.2. Let t = w - 99. Sort 2, t, d, -3 in descending order.\nAnswer: 2, t, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-32)*262 - 12\/(-24). Let f = 893\/24 - s. What is the common denominator of f and -37\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6540 + 5428. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhz when three letters picked without replacement from {z: 2, h: 18}?\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 1)*(4 - 1 - 4)*(154*i**2 - 154*i**2 + 30*i**4) to the form d*i**3 + w*i**2 + f*i + c*i**4 + b and give c.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 j when two letters picked without replacement from {c: 8, j: 3, d: 1, w: 6, s: 1}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -33*p**5 + 18*p**4 - 6*p**3 - 43348*p.\nAnswer: -660*p**3 + 216*p**2 - 36*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l - 3 + 22*l + 2. List the prime factors of i(1).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-45)\/(-135))\/((-2)\/(-12)). Calculate the common denominator of 9\/10 and (3 - r\/2) + 61\/(-6).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219322?\nAnswer: 2, 109661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8217121 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -14. Let f be ((53 + 3)\/4)\/(k\/(-261)). Let g = f + 2777. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-6))\/((500\/(-12))\/5)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -184813, -739490, -1663953, -2958202?\n\"Answer: -184893*s**2 + 2*s + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -13. Suppose c*l = -2*l + 750. Calculate the highest common divisor of l and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 2*i**2 - 6*i + 4. Let q be p(4). What is the units digit of 57\/q - (-2)\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m - 3*m + 4*d = 0, 4*d + 40 = 4*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b + 2295*b**3 + 2*b - 7*b - 2345*b**3 + 9*b.\nAnswer: -50*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*c - 1425 = -1125 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3678 - -3677. Put b, -4\/11, -2\/9 in descending order.\nAnswer: -2\/9, -4\/11, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.6 - -0.9. Let h = 1 + -1.2. What is the nearest to h in 2\/7, y, 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -q**5\/20 - 5*q**4\/4 + 3*q**3 + 23*q**2\/2 + 2*q. Let k be (((-30)\/(7 - 17))\/6)\/((-5)\/160). Calculate d(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c2584ea + 3?\nAnswer: c2584ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kaxxtykkxkxkkkkkt. What is prob of sequence xxa?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1855420 divided by 371084.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a milligram in micrograms?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6887 (base 13) to base 11.\nAnswer: -10004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 52 + -50. Sort k, 0.2, -2, 1 in increasing order.\nAnswer: -2, 0.2, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p - 128 = 5*r, -5*r - 132 = 2*p + 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16373771173 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7277853*f**2 - 3420721*f wrt f?\nAnswer: 14555706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.08 or 6.5?\nAnswer: 2.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 309249512 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - 8*h + 4. Let o be b(8). Let v(a) = -a**2 - 4*a - 3. Let s be (-1)\/(-2)*(-3 - 3). Let x be v(s). Sort 3, o, x in descending order.\nAnswer: o, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-20))\/(342\/190).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 y when four letters picked without replacement from yycyycyyxyxx?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/101106 and -67\/9594.\nAnswer: 1314378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 12 = 4*a, 2*a - 12 = 936*h - 932*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -18738b?\nAnswer: -187389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g\/(g\/g**(1\/17)))\/g*g*g)*g\/(g*g*g**6\/g*g))\/((g*g*(g*g*g*g**12)\/g)\/g)**(-1\/19) assuming g is positive.\nAnswer: g**(-2025\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) -2\/17 (b) 0.2 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 37\/(-135) - 1\/(-5). Which is smaller: 0 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 5*n**2 - 18*n + 2. Is o(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/5, 20, -2646, -2\/9, -1\/6, 5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 6 = -5*y. Suppose 61 = 2*k + y*q, k - 2*q + 84 = 4*k. Suppose -3*l - 16 = k. Are l and -14 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*o - 0*o + 433 - 253 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 - 7*p + 2. Suppose 4*v - 48 = -4. Let u = 5 + 14. Let t(l) = u*l**2 + 13*l - 21*l**2 + 2 - 6. Determine v*m(f) + 6*t(f).\nAnswer: -f**2 + f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 95041, 190110, 285177, 380242, 475305?\n\"Answer: -f**2 + 95072*f - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/11)*a)**(-1\/28)*(a*a**16)\/a**18 assuming a is positive.\nAnswer: a**(-159\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 14 = -20. Let t(c) = -1 + c - z*c**2 - c**2 + 3*c**2 + 3*c**2. Suppose 0 = -5*q + 2 + 3. What is t(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -0*r + 144. Let q = 17 - 5. Let x = q + r. Which is smaller: 59 or x?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c - 1884651*c**2 + c + 1862573*c**2.\nAnswer: -22078*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/12 + (-2)\/(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -36*l - 21. Let r(s) = 9*s + 5. Let p(q) = -5*n(q) - 21*r(q). What are the prime factors of p(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1582155, 3164311, 4746467, 6328623?\nAnswer: 7910779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*6*(2*sqrt(114)*1)\/(sqrt(18)\/sqrt(3)*2))**2.\nAnswer: 6156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*l + 56 = 18*l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.45 and -0.79.\nAnswer: 1.9355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 2*n - n)*(-2 + 1 - 1)*(26*n + 16*n - 63*n).\nAnswer: 84*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79533*j + 192 = -79521*j for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1702 and 1275166?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 6*g**3 + 77*g**2 - 22*g + 12. Let d be w(-13). Solve -d = -42*q + 81 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (5*(-4*(sqrt(684) - (1 + sqrt(684))) + 1*(2 + sqrt(684)) + sqrt(684)))**2 + 5.\nAnswer: 3600*sqrt(19) + 69308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 5. List the prime factors of 23 - (-3 + (5 - b)).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -t**5\/210 + t**4\/84 + 2*t**3\/21 + 5*t**2. Let s(l) = 0. What is l?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 1:20 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1090 and 42436970.\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -281 + 227 = 9*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or -18272115?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/250 and -12\/355.\nAnswer: 17750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -144, -1310, -4244, -9756, -18656, -31754?\n\"Answer: -135*s**3 - 74*s**2 + s + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 212, -1, 2, 4, 1 in decreasing order.\nAnswer: 212, 4, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 827940 is divided by 275619?\nAnswer: 1083","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.23 in -3\/79, -0.11, -4, -5?\nAnswer: -3\/79","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 5*d + 18. What is c(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 8*d**2 + 13*d - 32. Let w be k(9). Solve 36*j = w*i + 40*j, j = -4*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 o, and 1 z when three letters picked without replacement from {i: 2, o: 2, z: 2, f: 8, c: 1}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1749*u**6 + 2609*u**4 - 16790989*u**2 wrt u.\nAnswer: 209880*u**3 + 62616*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 68 and 64.\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, w: 4, e: 1, g: 2, t: 2, s: 2}. What is prob of picking 1 p, 1 e, and 2 s?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77695260 is divided by 1253149.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(20\/(-6) + 3). Let s(d) = 6*d**2 - 2*d + 3. Let y be s(2). Let n = y - m. What is the greatest common factor of n and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/7 (b) 0.4 (c) -1.9 (d) 12 (e) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*d - 1 = -14 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m + 1. Let g(b) = -37*b - 1. Calculate -g(v) - 2*q(v).\nAnswer: 35*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 4, -21 = -3*p - 2*c - c. Let u(n) = 4*n**2 - 5*n - 3. Let w(q) = -2*q**2 + 2*q + 1. What is p*w(v) + 2*u(v)?\nAnswer: -2*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - 18*k - 10. Give m(19).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33865?\nAnswer: 5, 13, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 6*d**2. Let r(f) = -2 + 0 - 2 + 0 - 2*f. Let p(q) = -q - 1. Let j(z) = 4*p(z) - r(z). Determine v(j(b)).\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of 11*q**5\/60 - 5*q**4\/12 - 70*q**3\/3 + q**2 + 24*q. Differentiate d(s) wrt s.\nAnswer: 22*s - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + h)*(-216 - 29 + 59).\nAnswer: -186*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 0 - (484 - 543) - 16.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by 4832\nAnswer: 5\/2416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 2\/48419489?\nAnswer: 2\/48419489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 890187 to the power of 1\/3, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 6*l**2 + 55*l + 234. Give y(-8).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - 3*a**2 + 2. Let i be n(2). Suppose -2*b = -25 + 35. Is i > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 2*z = 90. Suppose -k - 4*k = 5*l - z, -2*k = -l - 3. Solve 0 = k*m + m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.036 - 0.231. Let t = 0.067 + b. Let y = 0.4 + 0.1. What is the closest to y in t, 5, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((8\/144)\/((-1)\/(-3))).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 3*v - 4*v - 3*v - v + v + (-3*v - v + 2*v)*(6 - 4 - 4))*(-2 - 4 + 5).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d - 3*k, -6*k + 10*k + 20 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 10478 and 4.7.\nAnswer: 10482.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -5*g**3 + 3*g**2 + 2*g - 8. Let p(o) = -6*o**3 + 2*o**2 + o - 6. What is -4*p(q) + 3*u(q)?\nAnswer: 9*q**3 + q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-271617)\/(-18) + 252\/216 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -3*f + 16. Let p(v) = -2*v + 1. Let m(n) = -l(n) + 2*p(n). Determine m(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1311566783 to the nearest integer?\nAnswer: 1095","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 28\/((-12)\/(-3)) - 1*3. Let w(p) = 9*p - 3. What is the lowest common multiple of w(i) and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 334*d**2*k**2*s*z**2 - d**2*k*s**3 + d**2*s*z**2 - 5*d**2*z**2 - 19*d*k**2*s**3 + 2*d*s**3*z**2 - 2*k*s**2*z - 3*k*s**2 wrt k.\nAnswer: 668*d**2*s*z**2 - 38*d*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -13, -1, -2, 2, -34011 in descending order.\nAnswer: 4, 2, -1, -2, -13, -34011","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 divided by -15.\nAnswer: -38\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(-42))\/(3\/(-6)) - (6 - 6)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -22*m**3 + 14*m**2 + 3*m - 21. Does 6 divide q(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 + x**2 - x**3)*(-16*x**2 - x**2 - 31*x**2).\nAnswer: 48*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 97 + 2*s**4 - 43 + 2*s - s**4 + 3*s**3 - 52 in the form y*s + q*s**2 + i + g*s**3 + k*s**4 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8524, 8507, 8456, 8353, 8180, 7919, 7552, 7061?\n\"Answer: -3*h**3 + h**2 + h + 8525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 5*s - 14 = 127, 4*s + 154 = 3*a. What is the remainder when a is divided by 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109825145 to the power of 1\/3, to the nearest integer?\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 2) + -9 + 16 - -2\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32426.\nAnswer: 2, 31, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1052.9 rounded to the nearest 10?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*h - 255 - 109 = -112 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 86 - 169. What is the closest to -1 in 2\/5, h, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/12*(1 - 1). Suppose -j + 3 = -w. Solve j*q = i - 0*i + 13, 16 = 4*q for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -150.4 - -154. Let c = -3.9 + z. What is the closest to -1 in c, 4\/5, 63?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + j - 12, -66*j + 30 = 5*h - 67*j. Solve 4*x - h = -6*q + 9*q, -3*x + 2 = q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - 3*p**2 + p - 2. Suppose -3*v - 13 = -4. Let g be s(v). Sort g, -0.3, 4.\nAnswer: g, -0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 27*i**2 - 32*i - 96. Let r be s(-28). Suppose -4*v - 3*x + 24 = 0, -4*v - x + 0*x = -r. Solve -4*t = 3*m + m - 8, v*m + t = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 4*x. Let v = 13 + 3. Let r(a) = -v*a**2 - 14*a**2 + 25*a**2 - 12*a**2. What is z(r(f))?\nAnswer: -68*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.1, -0.33, 0, 25\/6, -2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2574 + 5470. Is 39 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1570543 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 228531 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2015)\/(-248)*(-84)\/35)\/((-6)\/(-8)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/15*24\/20. Let x = -0.43 + 0.03. Which is the second smallest value? (a) x (b) h (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 55 = -3*a, 0 = 3*q - q + a - 22. Suppose -6 = q*b - 28. Calculate the greatest common factor of b and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of 32*a**3\/3 + 13. Let j(o) = 2*o**2. Calculate f(j(p)).\nAnswer: 128*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2*w**3\/9 + 3754*w**2\/9 - 7514*w\/9 + 3758\/9 = 0.\nAnswer: -1879, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 4:47 PM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xg when two letters picked without replacement from {x: 4, g: 7}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.8, -0.3, -2, -18, -1 in decreasing order.\nAnswer: 0.8, -0.3, -1, -2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-85)*(-34)\/(-8))\/((-50)\/8).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from buyamjba. What is prob of picking 1 y, 1 b, 1 m, and 1 a?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46.73439 kilometers to micrometers.\nAnswer: 46734390000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2 + 1502*k + 30660.\nAnswer: 2*(k + 21)*(k + 730)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46\/115*6\/(-4).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/18044 and -53\/131924.\nAnswer: 45777628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*l - 605 + 4440 = 442. Calculate the remainder when 3500 is divided by l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1884 and 19311.\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 26310, 50283, 71918, 91215?\n\"Answer: -1169*c**2 + 27480*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1322*r = -1335*r - 13 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 924432.070366 + -372.\nAnswer: 924060.070366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z - 12. Suppose 0 = 2*q + q - 30. Let k be i(q). Suppose -r + 5*v = -0*v - 27, r + 4*v = -k. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -808, -3251, -7322, -13021, -20348, -29303, -39886?\nAnswer: -52097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a century in years?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -388993.613 to the nearest ten.\nAnswer: -388990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -6956 (base 13) to base 9\nAnswer: -22235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3 = -4*z. Let x(r) = 2*r - 2. Let d = -79 - -84. Let i(j) = -4*j + 3. Determine d*x(b) + z*i(b).\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + -2)*-1 + 33 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -j**5\/60 - j**2. Suppose 8*b - 3 - 13 = 0. Let m(u) = -144*u**b + 162*u**2 + 0 + 0. Determine m(z(p)).\nAnswer: 18*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a - 15*a = -55. Let j = -157 - -376. Calculate the remainder when j is divided by a.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 66*f + 2753. Determine g(-42).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - 2\/(-1)) + -3 + 2. Let q(d) = -10*d - 3. Let m(f) = 7*f + 2. Let v(g) = 7*m(g) + 5*q(g). Let r(a) = 1 + 0 + 2. Calculate i*r(u) - 3*v(u).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 960 or 485?\nAnswer: 485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 221*l = 255*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**0)**(1\/25)*((t**(-1)*t)\/t)**38)**(2\/41) assuming t is positive.\nAnswer: t**(-76\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5231293970.\nAnswer: 2, 5, 7, 443, 168697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-14)\/4*72\/(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1470 and 126?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 78\/3*12\/16*(-266)\/(-133)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0683228 to four decimal places.\nAnswer: 0.0683","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52 (base 9) to base 13.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 5 = 3*q - 4*q, 9 = 3*q - 5*b. Let g = -6 + q. What is the derivative of -2 + k**2 + k**2 + 0*k**g wrt k?\nAnswer: 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*i - 82*i - 147*i = -2500 + 16804 for i.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3289599?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l + 674 - 692 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 3*x)*(-2*x**3 - 826*x**2 + 826*x**2) + 2*x**4 + x - x.\nAnswer: -4*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ghyanaj. Give prob of sequence hgy.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -131.2 and 0.3.\nAnswer: -130.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + -2)\/(0 + -1). Suppose a = -n + 4. Solve -n*v = 2*c - 10, -v - 25 = c - 5*v for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 680 is divided by 77.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - 20*i - 30. What is the smallest common multiple of n(-14) and 90?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1991?\nAnswer: 11, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 6, 4, -4, -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -114*p**2 + 228. Let x(z) = -2. Let h(m) = t(m) + 114*x(m). Let y(o) = 13*o**2. Give y(h(f)).\nAnswer: 168948*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -4*y - 7. Let o(k) = -2*k - 4. Let j(s) = -4*m(s) + 7*o(s). Suppose -3*h - 2 = -8. Let l(b) = 0*b**2 + 0*b**2 + b**h. What is j(l(d))?\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 12*j**2 + j + 8. Suppose 13*q + 132 = -24. Determine p(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -15*c**5\/8 + 21*c**4\/4 + 129*c**3\/2 - 231*c**2\/4 - 501*c\/8 + 105\/2 = 0.\nAnswer: -5, -1, 4\/5, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 a when two letters picked without replacement from {j: 1, l: 1, s: 1, i: 1, n: 1, a: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 + 15 + 1 + -5 - 10) + 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-3) + (-63)\/27. Let d(a) = 5*a - a - 2*a + 0*a. What is d(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-3))**(-9\/5)\/(i**(-2\/9))**(1\/3))**13 assuming i is positive.\nAnswer: i**(9607\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 + -61. Let d = -29 - y. Let a(n) = 4 - 2*n**3 - 3*n**d + 5*n**2 + 3*n**3. Let x(w) = -w**3 - w**2 - 1. Calculate a(m) + 4*x(m).\nAnswer: -3*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - 52*c**2 + 672*c + 103. Calculate m(26).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10267900845 + 10267900845 - 814*w**3.\nAnswer: -814*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 36191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/11? (a) -1 (b) -0.3 (c) 49\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 42 + 43*v**2 + 75 + 10*v - 10*v wrt v?\nAnswer: 86*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19309430 and 1190.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 776159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - 0) + -3 + (9 - 12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 3 = -7 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l. Let u(m) = 235691*m**2 + 3*m + 573. Calculate c(u(p)).\nAnswer: 235691*p**2 + 3*p + 573","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 9235.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7238?\nAnswer: 2, 7, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 22*r + 24*r = -6, 3 = -r. Suppose l + m = 4*l - 4, -4*l + 5*m - 13 = o. Find d such that -7*d**2 - 6\/5*d**4 + 4*d + 5*d**l - 4\/5 = 0.\nAnswer: 1\/2, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*l + l + 0*l)*(-97785 + 716*l + 97785) to the form m + x*l + b*l**2 and give b.\nAnswer: 2148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, -1\/282, -5, -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of 2*y**5\/15 + 6*y**2. Let r(g) = g**2. Calculate r(w(m)).\nAnswer: 64*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/(7\/(-1428)*68).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50584, -101147, -151712, -202279, -252848, -303419?\nAnswer: -353992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8470, 33872, 76208, 135478, 211682, 304820, 414892?\n\"Answer: 8467*j**2 + j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8705580?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 4*a - 100, 5*n + 53193 = -5*a - 2*n + 53018 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g, 3*j - 2*g - 255 = -6*g. Is 17 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-28) - 1064\/(-392).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2569 - -2499 - ((1 - 3) + -17)) + -4?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/30 and -7\/450.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 2*h = -11, 37*t - 17 = 34*t - 4*h for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 71\/6 + 2\/12. Let q = 52 + -43. Solve -z*a - q = -15*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 1. Let y = -0.22 - 0.08. Let m = 0 - -0.2. Which is the second smallest value? (a) z (b) m (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 + 560?\nAnswer: 560.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**4 + 81342345*t**3 + 330828813833775*t**2 - 330828895176125*t.\nAnswer: 5*t*(t - 1)*(t + 8134235)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56 and 700168?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -6*r**3\/5 + 21*r**2\/10 - 6*r\/5 - 7. Factor w(j).\nAnswer: -3*(2*j - 1)*(3*j - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j**3 + 3*j**3 - j**3 + 8*j**2 - 5*j + 2830 - 2826. Calculate k(6).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 5*r + 21, -3*t - 8 = 11*r - 15*r. Let f(a) = a. Let j(z) = 2*z**2 - 3*z. What is r*j(q) - 3*f(q)?\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -142 + 148 + (0 - 89) + (-6 + 23 - 9).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - 2)*(-12)\/(-9)*3. Suppose -3*j + 22 = -4*p, g = 3*j + 4*p - 10. Let z = 1 - -5. Is j at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1401? (a) 0.5 (b) 2\/7 (c) -8.3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -94028 divided by 4?\nAnswer: -23507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(1216) - -3*(sqrt(1216)*2 - sqrt(1216)))**2 + -1*sqrt(1216)*5.\nAnswer: -40*sqrt(19) + 19451","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 87788 and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u + 18. Let x be n(-8). Suppose -5*j + 59 = 3*r, -5*j - 3*r + 47 = -4*r. What is the greatest common divisor of j and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**3 - 2*y**2 - y - 5. Suppose -15 - 11 = 13*f. Let r be k(f). Solve 7 = -5*p + 4*d, -2*p = -4*d + r*d + 8 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -4*b + 3*z + 16, -4*b = -z - 45. Let v(y) = -5*y + 98. What is the smallest common multiple of v(16) and b?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 149 - 67?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.1, 5, 0.1, -20?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -p**7\/210 - p**5\/40 + p**3 + 6*p. Let q(d) be the second derivative of l(d). Find the second derivative of q(f) wrt f.\nAnswer: -24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15210 and 180?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.16 (b) 0.3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -4 (c) -3\/4 (d) -1\/2 (e) 9 (f) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -9. Let a = -15 - -25. Let t be (-3)\/6 - 15\/(-6). Solve 2*k - 5*d = -12, -2*k - t*d + r*d - a = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from hhhhhhhhhvhhv.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, r: 1, h: 3, x: 3, w: 9, p: 1}. What is prob of picking 1 r and 2 w?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.029 and -54381.27058.\nAnswer: -54381.29958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -6178926.\nAnswer: -6178926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m**4 - 295*m**3 - 1330*m**2 + 1180*m + 5400 = 0. What is m?\nAnswer: -54, -5, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 338 - 19*u - 92*u - 88 - 84 - 78 - 86.\nAnswer: -111*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7086053.\nAnswer: 13, 397, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 14 = 28. Solve 3*l - b = 4*j - 0*l, -2*l - 9 = j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.18 or 1.608?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/((d**(-4)*d)\/d)*d*d*d*d*d\/d**(-6\/7))**(1\/71)\/(((d\/(d\/d**(1\/4)))\/d)**(-21))**(-4) assuming d is positive.\nAnswer: d**(31394\/497)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v - 7. Let i = 6 - -37. What is the remainder when i is divided by w(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14.347535 times 9\nAnswer: -129.127815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -493 + 511. Suppose -39*a - s = -33*a. Sort 2, a, -28 in ascending order.\nAnswer: -28, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*((-150)\/(-15))\/100.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 489 divided by -4?\nAnswer: -489\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 + -30. Let y be (2 - (9 + -2))\/z. Solve 2*f = -y*i + 23, 4*i + 9 = 3*f + 3*i for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -408400*m**3 - 408419*m**3 + 816815*m**3 + 4*m.\nAnswer: -4*m**3 + 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c + c + 36*c**2 - 1 - 64*c**2 - 13*c**2.\nAnswer: -41*c**2 + 7*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -260*p**2*u**6 + 14*p**2*u**4 + p**2 - 10157*p*u**2 wrt u.\nAnswer: -31200*p**2*u**3 + 336*p**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*z - 564*z = 6426 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 4*q**3 + 186368*q**2 + 2171559744*q + 17360552448 = 0?\nAnswer: -23292, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 - 33. Is (-1)\/(-2) + p\/(-2) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*36\/(-240)*10\/(-12). Let w = 2 - 2.2. What is the closest to 1 in u, 0.4, w?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 18*s**2 + 30*s**2 - 3 - 28*s**3 - 12*s - 5 = 0. Calculate s.\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2*sqrt(1300) + 4 + 3)*-3.\nAnswer: -60*sqrt(13) - 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26.779 + -26.379. What is the closest to -0.07 in 5, 2\/35, -5, d?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d7ba + 1?\nAnswer: d7bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 + 3*a + 6. Let m be t(5). Let x = m + 7. Suppose -5*r + 18 = j, 0 = 5*r - 2*j - x - 6. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3870.291 - 96654.\nAnswer: -92783.709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2393*a**2. Let j(s) = -10*s - 5. Determine p(j(i)).\nAnswer: 239300*i**2 + 239300*i + 59825","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 4*p + 1. Let z = -30901 - -30883. Let n(u) = -17*u - 4. Determine z*o(r) - 4*n(r).\nAnswer: -4*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -27082.9 to the nearest one thousand.\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -176 + 178. Which is the fourth smallest value? (a) j (b) 0.2 (c) -7 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-360)\/(-432) + ((-14)\/12)\/(-7). Let n(y) = y. Let q(z) = -15*z. Determine d*q(k) - 2*n(k).\nAnswer: -17*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -842\/2499 - -3\/833. Which is bigger: o or 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, w: 1, g: 1, j: 2, s: 1, a: 1}. What is prob of sequence we?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 410 = 2*j - f, -2*j - 282 = -5*f. Let d be j\/(-6)*(-1 - 11\/(-12)). Let u = d + 5\/3. Which is the third biggest value? (a) u (b) -2\/17 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 12820*i - 12818. Let x be z(1). Factor -200\/9 - 2\/9*g**4 + 44\/9*g**3 - 94\/3*g**x + 440\/9*g.\nAnswer: -2*(g - 10)**2*(g - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 8.765049 days?\nAnswer: 757300233.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/2174536 and 56\/8775.\nAnswer: 1467811800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 1 = 5. Is ((-2)\/c)\/(1\/74) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from rjlrlllllej?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 246363.24 months?\nAnswer: 2053.027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1573685 is divided by 19?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(700) - -3*sqrt(700)*-1))**2.\nAnswer: -40*sqrt(7) + 2801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 (base 6) in base 8?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -293*t**2 + 9*t + 4. Let b be l(-10). Let k = 41249 + b. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -24, -27?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 92406592 and 128.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t - 13*t = 0. Suppose t = j - 4 - 0. Does 4 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -15. Suppose 0 = -0*j - 2*j + x. Suppose -c - c = -j. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 95 and 551?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2122200 to the nearest ten thousand.\nAnswer: -2120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 68 divided by 108\nAnswer: 17\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4070 - -4070.0004743. Round v to five dps.\nAnswer: 0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 82 = -5*q - 58, 2*q = 4*y + 16 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*w - 2 = -3*g - 28*w, 9*w + 33 = -3*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n**3 + 3*n - 3*n)*(0*n - n - 19*n) to the form l + b*n**3 + x*n + k*n**2 + m*n**4 and give m.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-18)*-1*3\/3.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7c16 + 105?\nAnswer: 7d1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -40*j. Let p(k) = -65*k. Calculate p(u(s)).\nAnswer: 2600*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - -2)*130324\/8. Let y(n) = m*n**3 - 4456*n**3 + 0*n**2 - n**2 + 4*n. Let s be y(4). Round s to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, c: 8, n: 6, o: 1}. Give prob of picking 3 g and 1 o.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*b + 4769 = 1934. Calculate the highest common factor of 30 and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (7 + 0 + -8)) + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2 = 5. Let o be (3 + (-27)\/u)*7. Let s = 10 - o. Solve 0*n + 1 = -3*l + 5*n, s = 4*l + 2*n for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 + 6*p + 2. Suppose b - 3*o = -131, 4*o - 9*o = 3*b + 379. Let x be 2\/(-6) + b\/(-24). Let f be q(x). Solve -3*g + 1 = f for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - b + 211, -3*n - 4*b = -2*n + 66. Let a = 210 + n. What are the prime factors of a?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1254, -1252, -1250, -1248, -1246?\n\"Answer: 2*o - 1256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5102, -9488, -12458, -13304, -11318, -5792?\nAnswer: 3982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 51 - 39. Let r = 11 - c. Let g = -69\/14 + 9\/2. Is g > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one fifth of a century?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -485 and 7649.5?\nAnswer: -3710007.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 7*j**3 - 2*j**2 + 4*j - 5. Let l be i(1). What is the second derivative of 183*h**3 - 248*h**5 - 5*h**l + h**4 + 29*h + 4*h**4 + 247*h**5 wrt h?\nAnswer: -20*h**3 + 1098*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(-5)\/(-2400)*-16*-354?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -11076, -22149, -33222, -44295?\n\"Answer: -11073*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10.4 + -42.6. Let d = o + 55. Let p = 3 + -7. Is d bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: eb7c (base 15) to base 16\nAnswer: c2b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -214033010 (base 5) to base 10\nAnswer: -924130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 381093845 to the nearest integer?\nAnswer: 725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (225\/540)\/(10\/4)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of 3*l - 18 + 2*l**2 + 1\/3*l**3. Determine q(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1245 - 4\/(-4)) + 3\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -396, -1571, -3530, -6273, -9800, -14111, -19206?\n\"Answer: -392*f**2 + f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/(-45) - 0)*-4 - 318\/795. Suppose -5*w + 4 = -21. Which is the nearest to -1? (a) r (b) w (c) 4 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2 - 8431583*m - 42157890.\nAnswer: -(m + 5)*(m + 8431578)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(896)*2)\/(sqrt(96)\/sqrt(3)))**2 - (sqrt(56)\/(sqrt(8)*1*1) + 2).\nAnswer: -sqrt(7) + 110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**5\/((i**(-2)*i)\/i))**(-3\/29)*(i**(-2\/7))**(-31)\/((i**(-1\/2)*i)\/i*((i\/((i**(-3\/8)*i)\/i))\/i)\/i*i) assuming i is positive.\nAnswer: i**(13411\/1624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x - 187 + x**3 + 185 - 10*x**2 + 0*x**4 - 9*x**4 + 8*x**4 to p + i*x**4 + w*x**2 + m*x + g*x**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ymym when four letters picked without replacement from yyaaammaaaaaa?\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 5*g = 72, -2*c + 3*g + 38 = -41. Suppose -49*r + 16 = -c*r. Calculate the remainder when r is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o = -19*o. Let i(s) be the first derivative of 1\/3*s**3 + 2 + o*s**2 - 6*s. What is the first derivative of i(r) wrt r?\nAnswer: 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -190.5 (b) -0.3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-5)\/i*i**(-1\/5)*i)\/((i**8*i)\/(i\/i**(-5\/3))))\/((((((i\/(i*(i**(-7)*i)\/i))\/i)\/i)\/i)\/(i**(-2\/13)\/i))\/(i\/(i**2\/i*i))**(-4\/29)) assuming i is positive.\nAnswer: i**(-93586\/5655)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*824106.\nAnswer: 82410.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 m, and 1 g when three letters picked without replacement from sngem.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, k: 3, i: 5, y: 4}. What is prob of picking 2 k and 2 y?\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 9. Suppose 0 = -2*k + x - 21. Let b = k - -20. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of -2*x**7\/21 - 2*x**3\/3 + x. What is the second derivative of j(w) wrt w?\nAnswer: -80*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -205*w**2. Let f(l) = 2*l. What is o(f(q))?\nAnswer: -820*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11334 = 3*t - z + 3810, t - z - 2510 = 0. Calculate the highest common divisor of 218 and t.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-3 + (sqrt(2299)*2*-2 - sqrt(2299))*-5 + -5)*6)**2.\nAnswer: -158400*sqrt(19) + 51729801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 12*a**2 + 63*a + 3080. What are the prime factors of x(-34)?\nAnswer: 2, 5, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5738460?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from mimmcmcmc.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -339040186 and -0.507.\nAnswer: -339040186.507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 128 or -82?\nAnswer: 128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -176*h**4 - 154*h + 2 wrt h.\nAnswer: -2112*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fufguffuugfuufuufff. What is prob of sequence gu?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 27 + 259. What is the remainder when k is divided by (-16)\/64 - (-157)\/4?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 687434422 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58 + 29 - 2*z + 4*z - 4*z.\nAnswer: -2*z + 87","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0222786447 to 3 dps.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + o + (0 - 1 - 1)*(-3*o + 2*o + 2*o) - 2*o + 3*o + o - o - 2*o + o + (2*o - o + 0*o)*(1 + 7 - 3).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n + 2 - 11*n - 12*n.\nAnswer: -25*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25287, -25284, -25279, -25272, -25263?\nAnswer: -25252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.12 - -1.52. What is the nearest to 0.1 in x, -1, 3\/11?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**2 - 13*j - 118. Calculate p(0).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does -5303071 = -47727644\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18\/153 + 38\/(-34). Sort m, 6, 0.2.\nAnswer: m, 0.2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 equal to 4205752?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mmmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - n - 4. Factor -3*u - 4*u**2 + u + 4 - n*u.\nAnswer: -2*(u + 2)*(2*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -202650 (base 9) to base 5.\nAnswer: -12320322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 5*i**2 + 3*i. Let w(s) = 779*s - 3. What is v(w(n))?\nAnswer: 3034205*n**2 - 21033*n + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 210201?\nAnswer: 210201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 3.2. Suppose 5*p + 26 = 1. Which is the second smallest value? (a) p (b) z (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 - 10*n + 6. Let j be v(11). Let h = j + 16. Suppose -2*f = -25 - 19. Calculate the highest common factor of f and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4194743543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51 - 21. Let u be 1\/((-1)\/6*-3). Solve -4*c - 32 = -4*m, u*c + h = 5*m - 1 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44630.13 rounded to the nearest one hundred?\nAnswer: 44600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109334 is divided by 255.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of 79*u**5\/60 - u**3\/3 - 8*u**2. Is d(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 8, e: 6, z: 1}. Give prob of sequence zee.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2\/5, -118.234 in decreasing order.\nAnswer: -2\/5, -4, -118.234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -26 + 24 - (1*-48)\/3\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-9))\/((-4)\/12).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -990 divided by -10083?\nAnswer: 330\/3361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b. Suppose -73*h + 70*h = 0. Suppose -4*d + 3548 = -4*q - 20332, h = 2*d + 4*q - 11940. Let k(v) = -d + 5970 + v**2. Determine u(k(o)).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 70 and 0.0066.\nAnswer: 0.462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4 - 4 + 2*z)*(0 + 4 - 1) - 7*z + z + 4*z)*(2*z - 2*z**3 - 2*z) as f + o*z**4 + p*z**3 + g*z + m*z**2 and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s + 2*g + 6, 6*s - 9*s + 5*g - 37 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 22173190 to the nearest ten thousand.\nAnswer: 22170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2*sqrt(77)*-2*6)\/(4*1*sqrt(275)).\nAnswer: -6*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of r**4\/66 - 116*r**3\/33 - 5*r - 14. Let z(h) = 0. Calculate h.\nAnswer: 0, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 8*v**2 + 27*v + 83. Calculate g(-10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 308 + -128. Let q = o - 1982\/11. Sort q, -0.1, 0.12 in ascending order.\nAnswer: q, -0.1, 0.12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/3)\/(864\/(-216)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 648 and 4914.\nAnswer: 58968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -27*h**2 + 1916*h - 30. List the prime factors of p(69).\nAnswer: 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -319, 21\/8, 0.6575?\nAnswer: 0.6575","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/5 of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -102 and 198540754.\nAnswer: 198540652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -1183\/85 - -69\/5. Which is the nearest to 1\/36? (a) -3\/5 (b) -0.4 (c) -3 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -66823581 to the nearest 10000.\nAnswer: -66820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -5*c + 9. Let x(k) = 10*k + 3 - 14*k + k + 1. Let s(r) = 3*i(r) - 7*x(r). Give s(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 91 + -89. What is the remainder when (3 + m)*-9*(-3)\/3 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -0.1 (b) -1101601 (c) -2 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + 0.375577289675?\nAnswer: 0.575577289675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.725207 take away -150383513?\nAnswer: 150383513.725207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/3 - 1230*m + 3689\/3.\nAnswer: (m - 3689)*(m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 - -41. Suppose 102 = -6*p + 462. What is the greatest common factor of l and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.04086004 at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d - 6. Suppose -2*v + 4 = 16. Calculate k(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by (-1 + 2\/10)*(-29 - -19).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 569 a factor of 1046391?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192) + -1*(2 + sqrt(192)) + (sqrt(3) + (sqrt(192))**2 + -3)*-2.\nAnswer: -380 - 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/7, -0.2, -0.09, -36.5, -0.1 in decreasing order.\nAnswer: 6\/7, -0.09, -0.1, -0.2, -36.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -5*w + g, -w + 5*g - 48 = -5*w. Find the common denominator of 669\/(-168) - (-11 + w) and 27\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*i**2*l + 2275309*i**2*x**3 - i*l*x**3 + i*l*x**2 - 7*i*x**2 + 179*l*x + 4*x wrt i.\nAnswer: -6*l + 4550618*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32129297 is divided by 207?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k**15\/k)\/k)\/(k*k**9*k*k))\/(k**(-18)\/k**5))**22 assuming k is positive.\nAnswer: k**528","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -168275 take away -1.6957?\nAnswer: -168273.3043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*a - 5*j - 5 = 0, j = -2*a + 12. Solve 3*f + 2*i = 12, 2*f + 3*i - 3 = a*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - -6)*12\/36. What is the third derivative of -13*g**5 + 7*g**d - 302*g**4 - 5*g**5 + 302*g**4 wrt g?\nAnswer: -1080*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c0 - -5?\nAnswer: -ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -5*v - 2. Let r(f) = 12*f + 6. Let i(t) = 2*r(t) + 5*z(t). Let g(x) = 3*x**2. Give g(i(n)).\nAnswer: 3*n**2 - 12*n + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = y - 25, 0 = -5*b - 5*y - 1 + 26. What is the third derivative of 3*q**4 + 4*q**4 - 10*q**3 + b*q**3 - 2*q**2 wrt q?\nAnswer: 168*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113 - 193 = -18*r. Suppose -3*i - 19 = -2*h, 0 = 16*h - 15*h - 4*i - r. Solve 2*p - 4*p - 3*f + h = 0, 4*p - 1 = -3*f for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -17 + (-14925)\/2975 + 22. What is the nearest to -4 in -0.03, -0.5, x, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2731348 is divided by 727?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29\/16 + -5\/16. Sort -3\/2, -2\/7, g, -0.11.\nAnswer: -3\/2, -2\/7, -0.11, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 125789082*f**3 - 1542203260 wrt f.\nAnswer: 377367246*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -1. Suppose -52 = 4*d - 76. Let v be (1*(-4)\/d)\/((-14)\/(-84)). Sort t, 3, v.\nAnswer: v, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*w + 24*w - 180. Let j be 26\/6 + 40\/w. Let a(t) = t**3 - 2*t**2 + t + 2. Let u(x) = -x**2 - 1. Let n(s) = a(s) + u(s). What is n(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(4\/5))**(-1\/4) assuming r is positive.\nAnswer: r**(-9\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2.78+115787845977\nAnswer: 115787845979.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 2491879?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*x - 73 = 31 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -4\/33 (b) 4\/7 (c) 2\/9 (d) -5 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z + 3. Calculate the least common multiple of 20 and t(5).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42 + -37. Suppose p = -2*l + 8, -4*l + 20 = -p + m*p. Suppose 0 = -l*z - 56721 - 111279. Round z to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*y + 14*y - 51 = 0. What is the units digit of (-7)\/(42\/(-2104)) + 2\/y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 49.342 and -0.3.\nAnswer: -14.8026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1473220 is divided by 736602?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 47361 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/n**0))**(-34)\/(n*n**3*n)**(-49) assuming n is positive.\nAnswer: n**245","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7830 and 600561?\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9554030933 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 2*c - 3*c. Suppose c = -7*p + 2*p + 25. Let g be p\/7 + (-4)\/(-14). Which is smaller: 2\/167 or g?\nAnswer: 2\/167","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/44473 bigger than 0.06745?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -5*d**2 + 12*d - 38. Let s(t) = -t**2 + 3*t - 9. Let z(p) = 2*b(p) - 9*s(p). Give z(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 38710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - -2)*(-9)\/6. Let g(r) = -3*r**2 - 5*r - 7. Let i(n) = -2*n**2 - 4*n - 6. Let t(q) = m*g(q) + 4*i(q). Let z be 0*((-4)\/(-24)*-3 - -1). Give t(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -1 + 1 - (188 + -193).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-7)*o)\/((o\/(o*o*o**(2\/43)))\/o))**(-39)*(o**(1\/4))**(-4\/17)\/(o**(1\/4)*o*o*(o\/(o\/(o**(2\/3)\/o*o)))\/o) assuming o is positive.\nAnswer: o**(1335191\/8772)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 4*u + 77402 = 77394, -z + u - 1 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -208 smaller than -209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**2 + j**2 + 0*j**2 + 0*j**2 + 6*j**2 - 5*j**2 + (5*j - 5*j + 2*j)*(0 + 0 + 2*j))*(-6*j + 21*j + 9*j).\nAnswer: 96*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - 17*v + 20. Let l be ((-34)\/(-8))\/(4\/32). Suppose -l = 3*j - 5*j. Calculate the remainder when 177 is divided by y(j).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-72)\/(-7))*(-54)\/(-189)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-16)\/6)\/(14\/(-21)). Suppose -2*i + 7 = 5*m, 2*m + 2*m - 20 = -d*i. Calculate the remainder when 11 is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9961.116mm in kilometers?\nAnswer: 0.009961116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = t + 3*k - 12, -4 = t - 3*k. Suppose -t*r = 3*r - 375. Round r to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -9 + 42*k + k**2 + 4 - 6*k**3 - 43*k. Let v(y) = -7*y**3 + y**2 - y - 6. Calculate -6*s(a) + 5*v(a).\nAnswer: a**3 - a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 20, 35?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of n**5\/20 + 4*n**4\/3 + 5*n**3\/2 + n**2 - 9*n. What is the least common multiple of x(-15) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 50\/1583, 0.5, 1\/49?\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -259*m**4 + 2*m**3 + 288*m**2 - 4*m wrt m.\nAnswer: -6216*m + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 10*d = 12, -3*d = -278*w + 277*w - 2 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -76 + (-9 + 18 - (27 - 0))?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 3460 to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0*(-1)\/2 - (-16 + 12). What is the units digit of -6*(1\/2 - (j + -2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**3 + 7*m**2 - 7*m**2 + (6*m - 8*m - 3*m)*(m**2 - 4*m**2 - 2*m**2).\nAnswer: 28*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1223, 2508, 3805, 5114, 6435, 7768?\nAnswer: 9113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*c + 22*c**2 - 52*c + 31*c + 80.\nAnswer: 22*c**2 + 80","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + 1 - (0 + 0). Solve -l*a = 2*j + 4 + 1, 0 = 4*j - a - 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 13 + 7, -3*r + 4*x = -10. Let d be (r*74\/4)\/((-5)\/(-10)). Which is smaller: d or -73?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4618*i*u**3 - 311*i*u - 140*i - u**4 wrt u?\nAnswer: -27708*i*u - 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14\/83 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 9*z = 0. Suppose 3 = 2*k + 4*m + 13, 3*k + 5*m + 12 = z. Which is the nearest to k? (a) 0.7 (b) -0.1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 times 10.15\nAnswer: 142.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-6)*-3*3\/(-945)*5.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 12 in ascending order.\nAnswer: -5, -1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 30\/(-40)*4)*(-3)\/(-14).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -400*-122970\nAnswer: 49188000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3738?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 515, 1049, 1583, 2117, 2651, 3185?\n\"Answer: 534*o - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -6*n**3 - 3*n**2 - n + 1. Suppose 4 = 2*y - 4. Suppose 3*o + y = -o. Let q be s(o). What is the highest common divisor of q and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 66\/10 + -7 + 62\/5. Suppose -5207 = -t*o + 3097. What are the prime factors of o?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 770909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3, 3, 9, 21?\n\"Answer: 3*j**2 - 9*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1811468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 6:53 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6349 - 9915. Let z = o - -16245.998. Let u = z - -18. What is u rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**2 + o**2 - 5*o**2 + (5*o + 8*o - 4*o)*(120*o + 183*o + 111*o + 256*o) to c*o + h + f*o**2 and give f.\nAnswer: 6028","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78734.54 kilometers to meters.\nAnswer: 78734540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - 0)*(228\/24 - 10). What is the second biggest value in u, -1.8, -3?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-16))\/((-21)\/(-84)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 1 + 1. Is p > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 5*p + 52 - 72 = 0, -p + 1 = -4*y - 3 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6259266 to the nearest integer?\nAnswer: 2502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -30 - -1a?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -127, 3\/8, -0.08, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = 4*x - 8*x - 3*c, -3*c - 60 = -4*x. Suppose -4*w - 17 = v - 1, 5*v + 2*w = -80. Let h = v - -30. Calculate the least common multiple of h and x.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2146440573.\nAnswer: 3, 263, 302273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -32901925 plus -9.7136?\nAnswer: -32901934.7136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 + 456\/20 + (-30)\/(-25). Solve 3*p - 18*s = -h*s, -s = -3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4883 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 p when two letters picked without replacement from psppaxzpssapsx.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2884 and 3.\nAnswer: 8652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - 7*u + 7. Let q be h(5). Suppose -26*c - 9 + 35 = 0. Sort q, c, 17 in decreasing order.\nAnswer: 17, c, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 AM and 6:42 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2919, -0.3, 2, 1.3, -8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (0 + 10 - (206 + -170))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 16*m**3 + 30*m**2 + 1. Let o(x) = -3*x**3 - 6*x**2. Give -11*o(y) - 2*r(y).\nAnswer: y**3 + 6*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + (1 + sqrt(76))*2 + sqrt(76) + sqrt(76) + -5)**2.\nAnswer: -60*sqrt(19) + 1909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83990 is divided by 3256.\nAnswer: 2590","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-38) + 605\/209. Let d(q) be the second derivative of 24*q**2 - 64\/3*q**r + 0 + 5\/3*q**4 - 19*q. Factor d(x).\nAnswer: 4*(x - 6)*(5*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -574.7.\nAnswer: -574.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*k + 16 = 0, -u + 0*k = 2*k - 10. Suppose 0 = 3*i + 5*p - 29, i - 7 = p - 2*p. Suppose i*z - 6 = u*z. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(2057) + 1 - ((2 + sqrt(2057) - sqrt(2057)) + 5))**2*4.\nAnswer: -88*sqrt(17) + 8232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + 1 + -56 + 31.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*s + 1630 - 1370 = 0. What is the third smallest value in s, 0.4, 909?\nAnswer: 909","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 20 = 50. What is the units digit of (-34)\/p - 6\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8165 - 17266 = -595*h + 11724 for h.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2. Let m(u) = 1271*u - 3. Give -2*j(w) + m(w).\nAnswer: 1271*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 24 = 3*w. Let p = 13 - w. Let f = 127 - 123. Which is the nearest to 2\/7? (a) p (b) f (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*h + 3 - 3)*(-3*h + 3*h + h) + 6*h**2 + 17*h**2 - 45*h**2 - 3*h**2 + h - h**2 + 5*h**2 to f + u*h**2 + w*h and give u.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -34 + 12*w**2 - 7*w**2 + 34. Let a(y) = -4*y**2. What is s(a(f))?\nAnswer: 80*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 82*j + 7790. Let p be s(-95). Suppose -5*f = l + 19, 4*l - 5*l - 4*f - 14 = 0. Solve 8 = -4*y + 3*q, p*y = 3*y - 3*q + l for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -15*n**3 - n - 1. Let t be g(1). Let u = t - 191. Is u at least as big as -209?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of p**8\/84 + 373*p**6\/120 - 82*p**5\/5 - 6*p**2 - 160*p. What is the third derivative of s(r) wrt r?\nAnswer: 240*r**2 + 2238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 613*q. Let a(u) = 2*u. Determine -4*a(p) - i(p).\nAnswer: -621*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 z when two letters picked without replacement from {s: 1, z: 2, m: 1, k: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-6*(sqrt(288)\/sqrt(6) + -1)*3)**2*-3.\nAnswer: -7776*sqrt(3) + 47628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 5*k - 5. Let g be d(2). Suppose 0 = -g*a + 85 - 0. Calculate the greatest common divisor of a and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2 - 591*q + 594.\nAnswer: -3*(q - 1)*(q + 198)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 27624 = 16*s. Let k = 3 + 3. Suppose -k*y + s = -4*y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-10)\/(-6))\/((-2)\/6). Let m be (-3)\/(-2)*(1 - q). Let a be 9\/11 - 2\/(-11). Solve -2*y + a = m for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 10*t**2 - 8*t + 11. Give u(11).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -5, 4, 0.45, 1, 0.4, -1\/5, 2\/249?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + 6*d + 2. Let t = 261 - 246. Suppose -z + 3*x = 10, -t = -0*z - 2*z - x. Determine b(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 6*z + 2*z + 467 = 0, 0 = -2*v - 3*z + 191. Let p = v + -76. Suppose -o = -2*i + 4, -4*o - 1 - p = 0. Solve -4*y + i - 8 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15447671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.4917 milligrams in grams?\nAnswer: 0.0624917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 433860 divided by -10?\nAnswer: -43386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1.46 (b) 4 (c) -2\/5 (d) 3\/7 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1109160 less than -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -3*a**3 - 39*a**2 + a + 10. Let r be s(-13). What is the second smallest value in 2, -24, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/2 + 8943\/(-15). Let c = i + 592. Find the common denominator of c and 127\/54.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 b when four letters picked without replacement from hmmbmbhmbm.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14304 + -14304.000017812. What is l rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -5*q**2 + 406*q + 689. Give n(0).\nAnswer: 689","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.1, -0.11, -0.06, -21\/61?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nhhgnhgnhnhnnnn. What is prob of sequence nnh?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1728) + (sqrt(1728) + 1*sqrt(1728))*6)*-6*-5 + 5)**2.\nAnswer: 280800*sqrt(3) + 2365459225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 158493.7 to the nearest one hundred.\nAnswer: 158500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12608 - 4162 = -15*b. List the prime factors of b.\nAnswer: 2, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -28*n - 7*n + 8*n. Let b(k) = -k. Give j(b(w)).\nAnswer: 27*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*n - l - 4*l, -2 = -4*n - l. Let s = 10 - 7. Sort n, s, 4 in decreasing order.\nAnswer: 4, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - 4*x**2 + 4*x - 1. Give d(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + 2*b + 2. Let g be v(-6). Let u = g + -16. Let c be (7 - 3) + 5 + -2 + 1. Is c greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 4 + 3)*(u - 3*u + 0*u) + (-5*u + 25*u + 4*u)*(-4 + 1 + 5) as j + c*u and give c.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**2. Let v(h) be the first derivative of -h**4\/8 - 2*h**2 - 2. Let f(n) be the second derivative of v(n). Give y(f(u)).\nAnswer: 18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 181, -2, -1, 12, 3 in decreasing order.\nAnswer: 181, 12, 3, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - 19. Let l(g) = 2*g**2 - 3*g + 7*g + 2*g. Calculate l(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 823999 divided by -66\nAnswer: -74909\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -1546*b - 112814. Give h(-73).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5014959.\nAnswer: 3, 1279, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -4*j**2 + 117*j + 64. Determine w(30).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 not equal to 259?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*g = 1517 + 793. Suppose -z = -3*y + 379, y + 0 = -5*z + g. What is the greatest common divisor of 5 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 17*k**3 + 11*k**2 - 11*k + 11. Let f(y) be the third derivative of 3*y**6\/40 + y**5\/10 - y**4\/4 + y**3 + 37*y**2. Give -11*f(t) + 6*u(t).\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 58, 140, 256, 406?\nAnswer: 590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8225902 to the power of 1\/2, to the nearest integer?\nAnswer: 2868","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 458300575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 21*z - 18*z - 2*b, -4*b - 8 = 0. Let i(y) = -y + 2. Calculate i(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -123.5*-3.\nAnswer: 370.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5355, -5327, -5299, -5271, -5243, -5215?\nAnswer: -5187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of s**3\/6 - 3*s**2\/2 - 24*s + 2. Suppose -45 = -12*w + 3. What is f(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 10:39 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.15 + -1.15. What is the second smallest value in 2\/5, k, 0.05, 4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.062? (a) 4 (b) -4 (c) -1 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 20, 5*x - 9*x + 4*b = 156. Let y(d) = -d**3 - 35*d**2 - 34*d + 1. Let t be y(x). Which is smaller: t or -3\/235?\nAnswer: -3\/235","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 39*o**2 - 27*o - 3. Let n(u) = 18*u**2 - 13*u - 1. What is -5*n(v) + 2*x(v)?\nAnswer: -12*v**2 + 11*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -122? (a) -250 (b) 4 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 x, and 2 i when four letters picked without replacement from {h: 3, x: 1, i: 2, d: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 10298, 20580, 30902, 41270, 51690, 62168?\n\"Answer: g**3 + 14*g**2 + 10233*g + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -84 - -50. Let i = -16 + -57. Let d = o - i. What are the prime factors of d?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of 136*p**5\/5 - 225*p**4\/4 + 3*p + 1. Find the third derivative of m(k) wrt k.\nAnswer: 3264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1090 (base 14) to base 16\nAnswer: b36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -179 - -86. Let p = y - -93.000315. Round p to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4012 + 4012 + 21*p)*(-54 - 57 + 15) - p + 1 - 1)*(-2*p + 6*p - 2*p) as t*p**2 + n*p + y and give t.\nAnswer: -4034","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -140, -64, -16, -2, -28?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 15, -2*y = 5*k - 4*k - 7. Solve -j = -3*j + o - 10, y*j - o = -25 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -178.73536 rounded to zero decimal places?\nAnswer: -179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b10 + -4?\nAnswer: b0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 155, 547, 1333, 2651, 4639, 7435?\nAnswer: 11177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.073 * 1082073.1.\nAnswer: -78991.3363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3*g + 4. Let l(d) = 69*d - 7. Let c(a) = -9*a + 2. Let m(n) = 7*c(n) + l(n). Give -3*m(t) + 5*p(t).\nAnswer: -3*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 352998 to the nearest 1000.\nAnswer: 353000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-2 + -1 - -1)) + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*f - 83*f + 13*f + 29*f + 12*f + 13*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 10. Let i = 3 + r. Let z = -5 + i. Which is the third smallest value? (a) z (b) -3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22347 rounded to the nearest one thousand?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*k - 5*k - 1980515 + 1998562 to h*k + g and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -52274851 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mcpxmcxo. Give prob of sequence oxx.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4076398 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of 83*l**4\/4 - 103*l**2 - 381. Find the second derivative of z(i) wrt i.\nAnswer: 498*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1084916801 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5*((-74)\/70 - -1). Let x = 2 - 2. Suppose -5*f + 2*l + 14 = x, 3*l = -5*f + 2*f. Which is the closest to n? (a) 1 (b) f (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 5*l - 62 = 0, -37 = -19*l + 147 + 6 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010010101100110010110 - 10001?\nAnswer: 1010010101100110000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/159 at least -1.07?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -209\/9 + 23. Sort -3\/7, 0.3, c, 2\/3.\nAnswer: -3\/7, c, 0.3, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.8885 - -378.5315. Round h to the nearest 10.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1509?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1633886 (base 10) to base 11\nAnswer: a16621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3 and -3667?\nAnswer: 3667.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and 59555?\nAnswer: 59555.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/16 of a week?\nAnswer: 1890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.57 - 0.43. Which is the second biggest value? (a) -1 (b) -1\/4 (c) k (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -103 + 155. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + h + 4. Let d be -5 - ((-28)\/(-168) + 86\/(-12)). Suppose 2 = -u - h, -2*t + d*u = 2. Which is greater: -1\/3 or t?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (167 - 136) + (2 - 11 - 1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*c + 12*c**2 - 43*c + 920*c**3 + 112*c - 31*c - 462*c**3 - 459*c**3.\nAnswer: -c**3 + 12*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1123 + -0.0123. Let o = -7 + -2. What is the closest to p in 0.4, -0.3, o?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/227 and 133\/6?\nAnswer: 1362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -7*t**3 + 4*t**2 + 3*t + 3. Let s(r) = -27*r**3 + 18*r**2 + 14*r + 13. Give -18*b(v) + 4*s(v).\nAnswer: 18*v**3 + 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/8))**(2\/109)\/(s**(-2\/11)*s*s**(-5\/7)) assuming s is positive.\nAnswer: s**(-3411\/33572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -453, 0.3, 2\/13, 0.2, 3?\nAnswer: -453","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**4 + 190*j**3 - 558*j**2 + 554*j - 184 = 0.\nAnswer: 1, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41938, -5, -7, 3, -14, -1.\nAnswer: -41938, -14, -7, -5, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 39 + 27*n**2 - 17*n**2 - 12*n**2 + 31*n. Let h be j(16). Solve -h - 1 = -8*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -106 >= -317\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 3:53 PM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + 7)*66\/7. Suppose 2*u + b = 5*u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -636*n + 248598 = 1847*n - 27015 for n.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-8)\/4)\/2*-30 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39675598877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 - -23 - 19 - -70 - -37?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 189 (b) 0.7 (c) -2 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 492 - 95. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -97500 and 0.\nAnswer: -97500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1641, -1, 0 in descending order.\nAnswer: 0.1641, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 95, 4, 1, 5, 84, -4.\nAnswer: -4, 1, 4, 5, 84, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3, -2\/13, 48?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(-3\/5)*p)*p)**(-2\/5)\/((p\/p**(-12))\/(p**9*p)))**(-36) assuming p is positive.\nAnswer: p**(3276\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is 153081 to the power of 1\/2, to the nearest integer?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/8 + (-739)\/1478. Which is the nearest to -1? (a) s (b) -1\/2 (c) -0.1 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 20*g**3 + 1499788*g**2 - 39908728*g - 16203456 = 0.\nAnswer: -75016, -2\/5, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (3 + (0 - (4 - 2)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -167106643 - -12?\nAnswer: -167106631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -243 divided by 9?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -8 - n**2 - 2 - n + 6 + 3. Let i(p) = 212*p**2 - 2*p - 1. Let j(z) = i(z) - 2*l(z). Is j(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200*m**2 - 385*m**2 + 731*m**2.\nAnswer: 146*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 6 (b) 0.06 (c) 1\/2 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 14 = -2*b, -g + 0*b + 5 = b. Let i be (-36)\/(-8)*g\/6. Suppose i*r - 6799991 = k + k, -4*k + 2*r - 13599994 = 0. Round k to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + (4*sqrt(110))\/sqrt(10) - (-4*(sqrt(11) - sqrt(121)\/sqrt(11)) - sqrt(11))) + -1.\nAnswer: -1 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -4*p + 2892, -5*p - 1210 = 2*j - 6985. Is j a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -85600 (c) -51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of -m**9\/168 - m**8\/560 + m**7\/140 + 2*m**3\/3 - 25*m**2. Let w(l) be the first derivative of s(l). Factor w(c).\nAnswer: -3*c**3*(2*c - 1)*(3*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 3 + 4 + (-6 - 11 - -8)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -2\/11, 39, 3\/5?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19891?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - y + 113*y**2 - 2*y + 1 - 109*y**2. Let h be s(2). Suppose 0 = -h*r - 84 + 345. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 2*m + 30 = 0. Let g be (m\/10)\/((-6)\/8). Let u(y) = 3*y**2 - 3*y + 3. What are the prime factors of u(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-3*(-6*-3*(sqrt(448) + -1) + 0))**2*4 + 4.\nAnswer: -186624*sqrt(7) + 5237141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from xpppsuxppspspup.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2014 to 3 dps.\nAnswer: -0.201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhnnnnhnhhhnhnnhnnh. Give prob of picking 2 h.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 30*f**2 + 1022*f + 56. Give z(-34).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 27 = -3*f, x = -0*f + f + 1. Let m(k) = -7*k - 6. Let d(z) = 6*z + 5. Calculate f*m(l) - 5*d(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4941 and -33.\nAnswer: 163053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15603\/10 + 1549. Calculate the common denominator of -113\/20 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = -3*b - 0*b + 3*g, 2*g + 231 = 5*b. Let m = 109 - b. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 0 - s**2 + 1 + 2 + 14*s - 4. Let g be k(14). Let m = g - -9. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 678848 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -3 + 6 - (1 - -2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 13*q + 8. Let n(x) = x. Let o(r) = c(r) - 2*n(r). Let t be o(7). Let d = -193 - -227. What is the highest common factor of d and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -395835*0.21.\nAnswer: -83125.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1320*z - 83938 = 4244*z + 71034 for z.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-700)\/(-210)*(-12)\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j + 95 = -13*j + 5*k, -2*j - 2*k = 154. Let g = 81 + j. Solve o = -h + 1, -3*h - g = -5*o + 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - d = 7, -4*u - 5*d + 353179 = -7*u + 353136 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 68959, 2 in decreasing order.\nAnswer: 68959, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -57 - -62. Suppose -7 + 26 = 2*f + 3*u, -z*f - 2*u = -53. Let s(p) = -40*p**2 + 5*p + 25. Let h be s(f). What is h rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45\/(-75) - (4 + (-1834)\/(-35)) - (-1 + -11)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of -b**4\/6 - b**3\/2 - 18*b**2 + 3*b. Let z(l) = -6*l - 4. Determine -7*r(h) + 5*z(h).\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/3, 11195, -2\/7?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 4 + 1 - (0 + -7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 z when two letters picked without replacement from {v: 4, u: 3, w: 1, z: 1, g: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 2*w = 5*w, -2*w - 7 = 5*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.414 + -2.404. Sort -3, s, -8 in decreasing order.\nAnswer: s, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-2))\/((-21)\/(-24) - 1). Let q(k) = -m + 5*k + 5 + 4. What is q(-6)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 194067069?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-255)\/1275)\/(3\/5).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 121341203113 - -4?\nAnswer: 121341203122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f**2 + 61*f - 350. Let k be s(23). Let l(n) = 5*n - 3. Let r(a) = 11*a - 6. What is k*l(p) + 3*r(p)?\nAnswer: 8*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 51, -2\/11, -4.\nAnswer: -4, -0.5, -2\/11, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 142.6 + -143. Which is the third smallest value? (a) -1\/10 (b) -25 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -39\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (75\/40)\/((-48)\/(-64))*(-36)\/10.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22503 + 152656?\nAnswer: 205462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13123022 + 40?\nAnswer: 13123102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26*l**2*q**3 - 3*l**2 - 10*l + 28*q**3 - 194 wrt q.\nAnswer: -78*l**2*q**2 + 84*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 46.4 - 46.4392. Let u = 0.2608 - o. Which is the closest to 1? (a) 0 (b) 1\/8 (c) u (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 332614726 - 0?\nAnswer: 332614726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-59)\/30)*(-28)\/7.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 12.304 and 0.11730229?\nAnswer: 12.18669771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1557?\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 163783091 to the power of 1\/5, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 18, 2, 0 in increasing order.\nAnswer: 0, 2, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 4, 42 in decreasing order.\nAnswer: 42, 5, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -27*l - 9. Let x(c) = 6 - 2 - 2*c + 21*c - 5*c. Let j(y) = 3*k(y) + 5*x(y). What is the remainder when j(-5) is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 12:09 AM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6*(-8 + 4)\/12. Suppose -3 = q - p*q. Suppose -q*v + 0*v - 6 = 3*c, 3*v - 34 = 5*c. Let y(h) = -h**3 + 2*h**2 + 3*h - 1. Calculate y(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -11*q**3 + 2176*q**2 + 368*q + 5545. Give o(198).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3150 divided by -6?\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t\/(t**(-1)\/t))\/t*t)\/t*t)**(-41)*(t\/((t\/((t*t**4*t)\/t))\/t))\/t**1)**(-1\/3) assuming t is positive.\nAnswer: t**53","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4\/5 + 3898144*s**3\/5 + 2338884*s**2 + 11694416*s\/5 + 3898138\/5.\nAnswer: 2*(s + 1)**3*(s + 1949069)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4290 + -21452\/5. Which is the nearest to 1? (a) w (b) 0.5 (c) -1279 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3, 9, 15, 21, 27?\n\"Answer: 6*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1227, -1241, -1269, -1317, -1391, -1497, -1641?\nAnswer: -1829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 s, and 2 h when four letters picked without replacement from {q: 1, k: 1, h: 2, s: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 24317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 26013\/(-26)*6\/(-9). Let c = 64 + i. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 8:21 AM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1305 (base 7) to base 6.\nAnswer: 2143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x**2 + 60*x + 12. Let n be j(31). Does 44 divide (352\/(-10))\/(4\/n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-239 - -239)*(-2)\/4. Are s and -7\/2662 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/9 in 1\/9, 16\/9, -0.4, 3, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, w: 2, u: 1, i: 10}. Give prob of sequence gw.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -49*h**3 + 6*h**2 - 13650*h + 46446919?\nAnswer: -147*h**2 + 12*h - 13650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of x**3\/6 - 3*x**2\/2 - 10*x. Let k = 9 - 6. Let w be a(k). Solve -2*m - 2 + 0 = w for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fu when two letters picked without replacement from {u: 6, f: 1, a: 1, e: 2, q: 2}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 7 (c) 1\/6 (d) 0.44 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d4 + 0?\nAnswer: -d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2. Let j be v(-2). Which is the biggest value? (a) -0.08 (b) j (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 40586942.\nAnswer: -3\/40586942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -8177*v**2 + 169. Let k(b) = 146*b**2 - 3. Calculate 338*k(z) + 6*s(z).\nAnswer: 286*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -4367499.\nAnswer: -4\/4367499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.89 + -57286074658?\nAnswer: -57286074653.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -3*s**3\/2 + 3403287*s**2\/2 - 482599284336*s + 482597582694 = 0?\nAnswer: 1, 567214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 - 11*b + 6. Let q be h(-12). Let t(i) = i**2 + 2*i - 2. Give t(q).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5122*b**3*f + 149*b**3*z + 4*b**3 + 2*b**2*f*z + 3*b**2*f + 2*b**2*z - 30*b*z + 243*f + 3 wrt b?\nAnswer: 30732*f + 894*z + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1029 - -1022. Let v(u) = 6*u**3 - 2. Let a(i) = -2*i**3 + 1. Determine z*a(o) - 2*v(o).\nAnswer: 2*o**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-4) - -2)*(-28)\/70.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 806 - 649. What is the remainder when f is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of 263*n**6\/6 - 101*n**2\/2 - 252. Find the second derivative of t(b) wrt b.\nAnswer: 5260*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*g**2 - 25*g**2 + 2*g**2 + 7*g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2a4102 (base 11) to base 8\nAnswer: -1635547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28.194 + -28. Let b = s - 0.19606. What is b rounded to four dps?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*g + 51*g + 12 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from fmmsssmsssssfmsssmm.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 44, 105, 202, 341, 528, 769?\nAnswer: 1070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2274, -4533, -6776, -8997, -11190?\n\"Answer: d**3 + 2*d**2 - 2272*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of 17*o + 11\/6*o**3 - 1\/20*o**5 + 0 + 1\/12*o**4 - o**2. Is q(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*j + 75 - 82 = 81 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 5*t + 205, 99*t = 2*x + 95*t - 68. Let p(q) = q + 8. Let s be p(-6). What is the highest common divisor of s and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2636289.4 rounded to the nearest one hundred thousand?\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11627, 11877, 12285, 12845, 13551, 14397?\nAnswer: 15377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1959497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 13) in base 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 - (11 - 37)) + -3 + (1 - 5) + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 322.2196 days in seconds?\nAnswer: 27839773.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 230666051 is divided by 556?\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 36 = x, -4*x + 46 = 2*g - 70. Calculate the remainder when 1617 is divided by x.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.03871 - 0.0390349. What is b rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**3 - 5*a**3 + 7*a**3.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 7:19 PM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -4*p - 3*b + 8, -5*b + 16 = -p. Suppose -4*u = 2*x, -x - u + p - 2 = 0. Suppose -w = x*w - 50. What is the least common multiple of w and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a microsecond in nanoseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 4, 165, -49 in decreasing order.\nAnswer: 165, 4, -16, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -9 - 4 + 13 - 2*m. Let p(o) = -o + 6. Let y(s) = -1. Let k(a) = p(a) + 6*y(a). What is g(k(d))?\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1011418.2 - 8776.\nAnswer: -1020194.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 182297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-75)\/(-100)*(-2)\/6. What is the closest to a in 1\/4, -2\/7, -1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 35 = 5*p, -g = -2*p - 3*g - 16. Let d be 4\/p*(-18)\/4. Suppose 2*m = -3*a + d, 3*a - m + 2 = -1. Which is greater: a or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28411700?\nAnswer: 2, 5, 284117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 760351898?\nAnswer: 2, 10141, 37489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -21*k**2. Let f(q) = 14*q**2. Suppose -53 - 108 + 1 = 32*l. Give l*y(a) - 7*f(a).\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a gram in milligrams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (8 + -4) - -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/4 (b) -1\/7 (c) 144 (d) -0.495 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4385537?\nAnswer: 13, 337349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 17*z - 306. Let i be u(18). Solve 14 = 2*h - 5*f + 4, 4*h + 4*f + 8 = i for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -104220 divided by -920.\nAnswer: 5211\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*p**3 - 380\/3 + 55\/6*p**2 - 377*p.\nAnswer: (p - 20)*(p + 38)*(3*p + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19707?\nAnswer: 3, 6569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 - 21071?\nAnswer: -21063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + 5*z + 7. Let o(g) = g - 3. Let d be o(-2). Let n be i(d). Suppose 0 = 4*q - n*q + 255. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 344, 1388, 3122, 5540, 8636, 12404?\n\"Answer: -p**3 + 351*p**2 - 2*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23467 at least 23421?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -211 - 220?\nAnswer: -431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 180805 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36 + 55. Suppose -r - 3*r + 16 = 0. Suppose -r*i + 5*z + h = -0*i, -5*z + 17 = 2*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c*t**4 + 2*c*t**2 - 11855*c*t + 8309*t**4 wrt t.\nAnswer: -48*c*t + 199416*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 46 - 12020166?\nAnswer: -12020120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbzbhhzz. What is prob of sequence bz?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p**2 - 3488*p**3 + 0*p**2 - 491*p**3 + 767*p**3.\nAnswer: -3212*p**3 - 5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**10\/r)\/r)\/(r**(-9)\/r)*(r**(2\/19))**(-10) assuming r is positive.\nAnswer: r**(341\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 124*o + 617. What is the hundreds digit of y(22)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*g + 5. What is the nearest to -1 in 1, g, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2326*r**3 + 336*r**2 + 152163*r wrt r.\nAnswer: 13956*r + 672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7 - (-18)\/3)*-1. Sort h, -1, 0, 3 in descending order.\nAnswer: 3, h, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/2 - 894*n - 32832.\nAnswer: (n - 1824)*(n + 36)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1940.07 + -1993. Let j = p - -0.93. Let n = 51.9999958 + j. What is n rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 0)*(2*s - s + 2*s) + 0*s + 2*s - 3*s.\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -3\/8, 362281, -5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 8. Let y(m) = 2*m**2 + 1. Let s be y(k). Solve -10 - s = -4*h - 5*z, -5*h = z - 10 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-1\/5))**(-14))**(-1\/2) assuming h is positive.\nAnswer: h**(42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16\/40 - (-1 + (-16)\/10). Suppose -11*d = -12*d - p. Let r(x) = -x**3 - 5*x**2 - 7*x - 1. What is the lowest common multiple of r(d) and 67?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.2214 to 1 dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1455*v**4 + 2916*v**4 - 96*v**2 - 100*v - 28*v**3 - 34 - 1459*v**4 = 0. Calculate v.\nAnswer: -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0.1 (b) 7 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/3)*u*u**4)**(4\/3) assuming u is positive.\nAnswer: u**(64\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-190)\/18)\/((-95060)\/(-85554)).\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - -25804.\nAnswer: 25798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -70 + a**2 + 47 + 41 - 19. Let w(s) = 148*s**2 - 185. Calculate -185*n(k) + w(k).\nAnswer: -37*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199*c + 87*c = -69*c + 903 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 83 + -50. Suppose -11 = 2*f - n. Find the second derivative of f*g + 9*g - 9*g + 7*g**5 + 4*g**5 wrt g.\nAnswer: 220*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-15) - 25803\/135. Let c = g - -730. Suppose 12*z - 19*z = -c. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3464418724.\nAnswer: 2, 13, 1423, 46819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/251494 and -10\/1223733.\nAnswer: 100346106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.1406 rounded to one dp?\nAnswer: -15.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 8 = 3*q, 5*q + 18 = 47*s - 49*s for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 103 - 157. Let i = n + 54. What is the biggest value in i, 0.14, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 5*u + u**2 - 7 + 2*u**2 - 2*u**2. What are the prime factors of v(5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ipweyeeiewyeweiywee. What is prob of sequence we?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24601.6335 - 1.71.\nAnswer: -24603.3435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 3:41 AM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*x - x - 2*x)*(0 - 2*x**3 + 0) + 2*x - 2*x**4 - 2*x - 3 + 3 + x**4 + x**3 - x - x**4 - x**3.\nAnswer: -8*x**4 - x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 15*p - 1. Let k(z) = -z - 1. Let q(n) = 2*n + 1. Let j(t) = -3*k(t) - 2*q(t). Let s(y) = f(y) - 4*j(y). What is the derivative of s(v) wrt v?\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -1, 2 in decreasing order.\nAnswer: 5, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, m: 2, f: 9}. What is prob of sequence ffz?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2786 - -641. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3657 = 114*x - 4585 - 1448 for x.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-48 - (22 + -19 - 2))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**2)**(-2))**(-18) assuming x is positive.\nAnswer: x**108","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {k: 2, f: 11, l: 2}?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1.6, -0.05, -14, 3\/7552?\nAnswer: 3\/7552","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -49386 divided by -49386?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence szzz when four letters picked without replacement from szczzczs.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -2 + (4 - (20 + -35)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*y**2 + 12*y**2 + 12*y**2 - 6*y**2.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -48\/41 - -1456\/123. Suppose -20 = -10*v + 8*v - 2*z, 5*v + 3*z - 44 = 0. What is the common denominator of h and (-66)\/(-45) + v\/(-14) + -4?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -4*w**2 + 80*w + 12. Calculate the remainder when 436 is divided by h(20).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 3:51 PM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 6*j**2 - 3. Let r(t) = -7*t + 28 - 10*t**2 - 18 - 13*t + 19*t - 8*t**2. What is -7*g(f) - 2*r(f)?\nAnswer: -6*f**2 + 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t - 25 = 52. Let s(h) = -7*h**2 + 2*h - 1. Let n be s(1). Which is greater: n or t?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 2 + (95 - 94)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2\/8 - 1755*h\/8 - 219.\nAnswer: -3*(h + 1)*(h + 584)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u**3 + 21*u**2 + 8*u - 6. Let g be f(-10). Solve 16 + g = -6*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of -o**8\/1176 - o**7\/105 + 13*o**6\/84 - 157*o**5\/210 + 38*o**4\/21 - 52*o**3\/21 - 157*o**2. Find y, given that a(y) = 0.\nAnswer: -13, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1098 is divided by 288?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-7\/9)*p*p**29 assuming p is positive.\nAnswer: p**(263\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13.06 + 1966734.\nAnswer: 1966747.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -96, -25, 1, -189 in decreasing order.\nAnswer: 1, -1, -25, -96, -189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1939952988?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 - 34. Let d(c) = -1270*c - 3. Is d(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18146037?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 388*s**4 + s**3 - 40*s - 778*s**4 + 389*s**4 in the form a*s**2 + k + z*s + r*s**4 + u*s**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-12)*440\/(-1155).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/15 - 72\/(-20). Let m = l + 16. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3897337433 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 11. Let h(o) = o**2 + 10*o + 9. Let n be h(-8). Let g(i) = 1 - 3 - 2 - 1 - 3*i. Let s(r) = 4*r + 7. Give b*s(w) + n*g(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3440 and 5375.\nAnswer: 86000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 26, -17 in descending order.\nAnswer: 26, 2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**2 + 1225*q**3 - 1224*q**3 + q**2.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15410.5 - 15411. What is the closest to 2 in d, -2\/3, 1\/3, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (195\/50 - 4)*(-10)\/8.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 199, 158, 109, 52, -13?\n\"Answer: -4*c**2 - 29*c + 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 53 = -38*f + 19*f + 2*w, -2*w - 3*w - 20 = 5*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of 23*b**3\/6 - b**2 + 24*b. List the prime factors of c(5).\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17.27 + 436470991\nAnswer: 436471008.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46 - 42. Let j = -197\/4 - -49. Let q = -0.02 - 2.98. Which is the third smallest value? (a) x (b) j (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 + -22. Let s be 10 + 1 + q + 2. Suppose -31 - s = -4*b. Calculate the smallest common multiple of 6 and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2318093942?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -228 + 221. Let h(j) = -3*j**3 - 20*j**2 + 6*j + 5. What are the prime factors of h(z)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2336*q**4 + 2*q - 15 + 2337*q**4 - 71 - 2*q**2 to the form d*q**4 + m*q + l*q**2 + i + h*q**3 and give i.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5105.\nAnswer: 5, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 AM and 1:16 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2249414 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*x - 18 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2013001 - 202?\nAnswer: 2012244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 4:41 AM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d - 5*d + 4*f = 5, 5*f + 5 = -4*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r - 4. Suppose 8*v - 11*v = 21. Let u be b(v). Let a(d) = -d**2 + 5*d - 3. Let i be a(3). Is u <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 3. Suppose q - 4*s = -10, 5*s = v*q + 3*s + 2. Suppose -q*w - 13 = -5*m + 9, 8 = 2*m. Which is the biggest value? (a) w (b) 1\/5 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 2*n + 15. Suppose 0 = 3*w - 17 - 7. Let p(c) = 12 - w*c - 9 + 4*c + c**3 + c**2. Let t(g) = g**3 + g**2 - 7*g + 5. Determine n*t(f) - 5*p(f).\nAnswer: -2*f**3 - 2*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1204231824?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 447 + 841. Is y a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 282? (a) -7375\/19 (b) 0.3 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -126 + 129 + 6*p**2 + 2*p + 9*p**2 + 46*p**2 to x*p + t + v*p**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -17*n**2 + 50*n + 2. Determine o(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) + 2*sqrt(80) + -5)*2)**2.\nAnswer: -480*sqrt(5) + 2980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + 0. What is the third derivative of 3*w**k - w**5 - 4*w**2 + 8*w**2 wrt w?\nAnswer: 120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ezsessqsebbeeby. Give prob of picking 1 b, 1 z, and 1 q.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**3 + 120*v**2 - 65*v + 1004. Give r(60).\nAnswer: -2896","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 787 a factor of 164955910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102121211121 + -1122?\nAnswer: -102121220020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1692275t to grams.\nAnswer: 169227.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -571, -0.08, -3, -1?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 5, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 127, -6\/11, 3\/4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, b: 5, n: 3}. Give prob of sequence bn.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -3*x**5 - 531*x**4 - 525*x**3 + 531*x**2 + 528*x = 0.\nAnswer: -176, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of x**6\/720 + 11*x**4\/6 - 4*x. Let k(u) be the third derivative of o(u). Let y(f) = 11*f. Determine y(k(v)).\nAnswer: 11*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -19*i**3 + 5*i + 5. Let u = 968 + -973. Let r(n) = 96*n**3 - 24*n - 24. Give u*r(c) - 24*l(c).\nAnswer: -24*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**3 + 55*x**2 - 26*x - 7. Calculate g(27).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 + -32 - ((-2)\/(-6))\/((-92)\/25668).\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*n**2 - 11*n**2 + 2*n**2 to the form h*n**2 + m*n + z and give h.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.098 + -3.098. What is the fourth biggest value in -3\/4, -1, d, 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pv when two letters picked without replacement from qzqpvzzqzzzvzzq?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 72 = 6*q. Let x be (-6)\/q - (-22)\/3. Calculate the greatest common divisor of 70 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 2:01 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -30 - 206. Does 30 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 0*o - 36. Let i be 65\/35 + 2\/14. Let r(l) = i*l - 15*l + 3*l - o*l. Let f(x) = -2*x**2. Determine r(f(c)).\nAnswer: 44*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zqqq when four letters picked without replacement from {q: 12, z: 6}?\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 0. Solve -v + s*v = 20 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49542 is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2276*q**3 + 3679*q**2?\nAnswer: -13656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -94 - (-81 - -46) - -86\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59 + -56. Solve -x*y + 15 = -0*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 37\/5 of a day?\nAnswer: 10656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3556*k**2 + 4 - 332*k**2 - 4 - 906*k**2 as v + p*k**2 + t*k and give p.\nAnswer: -4794","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -125. Suppose 0 = 2*p - 18 - 28. Calculate the greatest common divisor of k and p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 75429997 or 75429996?\nAnswer: 75429996","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -z**5\/20 - 5*z**4\/6 + z**3\/6 - 23*z**2 + 25*z - 1. Let i be y(-22). What is i rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -372073, -3, -61 in ascending order.\nAnswer: -372073, -61, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/156 and 85\/117754.\nAnswer: 706524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 10*m**2 - 11*m + 21. Let q be t(9). Suppose -q*h + 22 + 4 = -5*j, h + 4*j = 3. Solve -2 = 2*u - 3*p, 5*p = u + 2*p + h for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 892352566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 0. Let t(u) = 621*u + 0 - 620*u - 1. Let y(p) = 2*p - 1. Calculate d*y(f) - t(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1219 - 1224. Sort 1, 7, p, -1 in decreasing order.\nAnswer: 7, 1, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*s**5 - 7*s**3 - s + 9*s**3 + 4*s**2 - 15*s**5 wrt s.\nAnswer: 180*s**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1147 by 58.\nAnswer: -1147\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*h - 0*h. Sort 6, h, 2, -5 in descending order.\nAnswer: 6, 2, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*g**3*r**2 - 161*g**3 - 1363*g**2*r**2 + 32*g**2 - 2*g + 1 wrt r.\nAnswer: 4*g**3*r - 2726*g**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 324071 to the nearest integer?\nAnswer: 569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 2 g, and 1 u when four letters picked without replacement from wvgiggvuvvvgvggvv?\nAnswer: 6\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -100496095\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(20) + sqrt(20))\/sqrt(4) + -3.\nAnswer: -3 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64304.35 centimeters to meters.\nAnswer: 643.0435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-37))\/(m*((m*(m*m**13\/m)\/m*m*m)\/m*m*m)\/m)*m\/(m\/(m**31\/m))*m*m*(m*m**(-3\/13))\/m)**(-2\/3) assuming m is positive.\nAnswer: m**(-466\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/7*(-371)\/(-106)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3*o + 2. Suppose 4*v = -k - 13, 0 = 5*k - 0*v + 3*v - 3. Calculate p(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.137 and 337066379.\nAnswer: 337066379.137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 859 - 9*f**5 + 14*f - 859 wrt f.\nAnswer: -180*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4259 is divided by 2091?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 71*n**2 - 2444*n - 2443. What is d(-1)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -851, -976, -1127, -1310, -1531?\n\"Answer: -x**3 - 7*x**2 - 97*x - 746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45, -24, 1, 30, 63, 100, 141?\nAnswer: 186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.24 - 0.56. Let x = -0.96 - v. Let g = -4.84 + x. Put 5, g, 1 in descending order.\nAnswer: 5, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 0*v - 16 = -2*g, 0 = 5*g + 4*v - 46. Suppose 0 = -g*k - 14*k + 120. Solve 0*u = 5*c - u, 4*u - 15 = k*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 0*j - 4*j - 11 = 0, 0 = 2*i + 5*j + 4. Let g(f) = -16*f + 259. Let w = -323 + 339. Let r be g(w). Solve -i*p - r = -9 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + 19. Suppose -5*j - 12 = 4*r - 0*j, 3*j = -5*r - s. Let x = r - -19. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/(0 - (-2)\/10). Suppose -4*k = k - q. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 v when four letters picked without replacement from {f: 3, v: 2, o: 1, p: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 0, 135, -7, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -3*(-208)\/(-20)*(-4000)\/150 is divided by 281?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) + -2*sqrt(143))\/sqrt(11) + (1*sqrt(117)\/sqrt(9))**2.\nAnswer: -sqrt(13) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + b - 2 + 8 = 0, -4*b = 2*a. Let n = 1.53 - -13.47. Let m = n - 18. What is the second biggest value in a, 5\/2, m?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 106 and 1961.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -20627607 * 5\nAnswer: -103138035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 40 - (-2 + 3) - (2 + 0). Calculate the highest common divisor of m and 185.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -160 + 171. Suppose -8 = -2*j, s + 3*j = 2*j + 23. Calculate the remainder when s is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4\/9 + 148*o**3\/9 - 2738*o**2 - 607836*o - 28112415.\nAnswer: (o - 185)*(o + 111)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 7) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66023*p + p**3 + 0 + 66023*p + 0.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 3*z + 326, -4*z + 312 = 2*w + 3*w. Is 16 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 128456681 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 345.\nAnswer: 1725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 8 = -5*a. Let d(g) = -2*g**3 - g**2. Let h be d(-2). Suppose -4*n - 3*f = -7*n + h, f - 8 = -5*n. Calculate the remainder when n is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -310 rounded to the nearest 10?\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*h**5 + h**5 + h**5 + (0 + 0 - h**5)*(-1 + 0 + 2) + 5*h**4 - 5*h**4 + 5*h**5 + 21*h**5.\nAnswer: 21*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -769, -801, -833, -865, -897, -929?\nAnswer: -961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of 0*g**2 + 2*g + 0 + 1\/12*g**4 + 0*g**3. Let f(p) = -17*p. Determine f(d(a)).\nAnswer: -17*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f**(-26)*f))\/f**(-11) assuming f is positive.\nAnswer: f**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9746, 9730, 9700, 9650, 9574?\nAnswer: 9466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.73 rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10942?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -154, -158, -162, -166, -170?\nAnswer: -174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1742 is divided by 193?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119274 is divided by 28?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 5*t**2 - 41*t + 56. List the prime factors of x(17).\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -5. Let v = -7190 - -7313. Suppose z + u*k - 52 = 0, v = 5*z - k - 159. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 1230?\nAnswer: 1235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -6\/2533 (b) -0.5 (c) 22 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 480210224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 5*i - 18 - 3*i**2 + 12 - i**3 - 2*i. Let g(w) = 2*w**3 + 2*w**2 - 2*w + 5. Let q(c) = -3*g(c) - 2*l(c). What is the derivative of q(b) wrt b?\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -856.87 times 0.9\nAnswer: -771.183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, k: 1, i: 3}. What is prob of picking 1 k and 3 s?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26575 and 6650.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 339.792cm in nanometers?\nAnswer: 3397920000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (36 + (31 - 61) - (1 + -2 + -5))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125202504.\nAnswer: 2, 3, 7, 313, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 10:08 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 38 + 7. What is the second derivative of -k + 0*k**5 + f*k - 3*k**5 wrt k?\nAnswer: -60*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 81 and 225?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 s when four letters picked without replacement from {f: 3, s: 7}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a0 + -2b?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c = -95 - 89. Suppose 35 = 3*x - 4*a, -18*x = -c*x - 5*a. Solve x*z + 0*z - 15 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 757, -285.\nAnswer: -285, 5, 757","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25981\/26465 or 2?\nAnswer: 25981\/26465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**4\/3 + 24946*c**3 - 700128086*c**2\/3 + 231954182*c + 39202988272\/3 = 0. Calculate c.\nAnswer: -7, 8, 18709","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2918 = 190*d + 5578 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/1330 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7811.01mg?\nAnswer: 7.81101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 - 8*l - 20. Let v be w(13). Let g be (142\/(-3))\/((-6)\/9). Let f = g - v. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*x - 2584 = -80*x. Calculate the remainder when x is divided by 36.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 11) in base 2?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3772.4, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, -5, 11360, 3, 32 in ascending order.\nAnswer: -5, -2, 3, 4, 32, 11360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 17 = -47. Let m be (-4)\/10 - b\/25. Solve m = -j - j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32\/17 - 190\/119. What is the biggest value in 3, c, 2\/57, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t + q + 74, 0 = -58*q + 59*q + 5 for t.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k + 8. Suppose 5*i - 4*l - 16 = 5, 4*l = 3*i - 19. What is the remainder when 150 is divided by d(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 4 - 161914*x - 3 + 161912*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -446*s + 5*j = -441*s - 35, -5*s - 3*j = 5 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2673388931 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 34332402 to the power of 1\/4, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(224) - (sqrt(224)*-3 + sqrt(224))) + sqrt(56) + sqrt(56))\/(sqrt(72) - (sqrt(72) - (sqrt(72)*2 + sqrt(72)) - sqrt(72)) - sqrt(72)))**2.\nAnswer: 448\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8916 + 5?\nAnswer: -8911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -d37549 (base 14) in base 3?\nAnswer: -111102002200212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -5*x + 902, -2*n + 6 = n. Suppose -5*u = 5*c - x, -5*u + c + 176 = 4*c. Calculate the highest common factor of 51 and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149281 + 149281 - 20*k.\nAnswer: -20*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**2\/11 + 92*k\/11 - 1058\/11 = 0. Calculate k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k**2 - 24*k**2 + 8*k**2 - 8*k**2.\nAnswer: -29*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 - 25034?\nAnswer: -25034.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 3 - -2) + (-19 + 8 - -9) + -111.\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 117636137 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1904?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = h + 58, 182 = -6*h + h - 3*m. What is the closest to h in -135, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-6)\/(j\/j**(-2\/5)*j))\/(j**(2\/9)\/(j**(5\/3)\/j)))\/((j**(-4)*j*j**4)\/(j**0*j)**(10\/13)) assuming j is positive.\nAnswer: j**(-4789\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -3a012cb?\nAnswer: -3a012cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(132) - (sqrt(132) + (sqrt(132)*3 - sqrt(132)))) + (sqrt(132) + (sqrt(132)*-1 + sqrt(132) - sqrt(132)))*-6)\/((sqrt(36)*1*1)\/sqrt(3)*-3).\nAnswer: 8*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 37652*h - 225938. Calculate s(6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12311 - 434330?\nAnswer: -1002141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - o, -6*o + 11*o = v - 12. Suppose -c - 652 = -v*g - 178, g - 231 = -c. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5113412\/509 - -10046. Let w = -531\/5599 + k. Let s = w + 27\/55. Is s smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3275300549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 852984415 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l - 6*l + 4*u - 20, -14*u + 24*u = -3*l + 20*u - 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5115202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/5 (b) 0.2 (c) -0.2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156 + 1060 = -113*x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*v**3 + 761*v**2 + 5*v**3 + 2*v**3 - 9*v**3 as b + y*v**3 + g*v**2 + w*v and give g.\nAnswer: 761","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) -0.0422 (c) -276 (d) -3 (e) -58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3*p - 2. Let b(i) = i - 1. Let j(d) = 5*b(d) - 2*k(d). Let n(t) = -8*t - 9. Let a(w) = -36*j(w) + 4*n(w). Let l(f) = 2*f. What is a(l(g))?\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 12, 152 = 3*p + p + 2*y. Suppose -p = -13*o + 7*o. What is the smallest common multiple of 8 and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -4*y + 1298, 0 = -10*l + 9*l + 3*y - 264. Let z be l\/301 - 6\/(-7). Solve 36 = 9*t - z for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 28 = -3*j - 13, -2*j - 14*q = -78 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4*u - 2 = 0, 0*u = 3*k + 4*u - 5. Let w = 177 + -173. Suppose -p - 1 = n, -w*p = -5*p + n + k. Solve -4 = -4*a - 2*g, -3*g = -a - g + p for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(12)\/(6*sqrt(4)*1) + -4*-2*sqrt(3)*4.\nAnswer: 193*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12264 is divided by 4045?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11345 and 36304.\nAnswer: 181520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1088187 divided by 57273.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 2*k**2 - 2*k. Let l(r) = -6*r**3 + 9*r**2 - 11*r. What is 4*l(z) - 22*p(z)?\nAnswer: -2*z**3 - 8*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 58 * -13.761.\nAnswer: -798.138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 742a (base 12) in base 9?\nAnswer: 18377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4243 (base 5) to base 15.\nAnswer: -283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8182731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -58 < -3773\/65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -10, -30, -60, -106, -174?\n\"Answer: -m**3 + m**2 - 16*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkk. What is prob of sequence kkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 693cf7 (base 16) in base 6?\nAnswer: 403454011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*i**2 - 2*i**4 + i**4 + 5*i**4 - i**4 wrt i.\nAnswer: 72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b + 0*b - 2*b + (1 - 112*b - 116*b + 241*b)*(1 - 7 + 2).\nAnswer: -54*b - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -25.34 (b) -0.1 (c) -14 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2 + 56*i - 28*i - 25*i.\nAnswer: -3*i*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 11 and -0.57588.\nAnswer: 10.42412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 19641 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: Suppose 0 = 7*x + 10 - 31. What is the derivative of -66*c**x + c**3 - c**2 - 15 - 5*c**3 - 5*c**3 wrt c?\nAnswer: -225*c**2 - 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 15*x**2 + 12. Let n be g(15). Let r = 82 + -80. Suppose r*j = 5*u - 300, 44 + 16 = u + 3*j. What is the greatest common divisor of u and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s - s + 5. Let t be s - (-1 + 2) - -6. Suppose -5*u + 4*c = -22, -2*u + t*c - 3*c + 7 = 0. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/8 + 6 + -5. Let w be (4\/10)\/(2\/10). Which is the closest to -0.1? (a) f (b) w (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/3289727 and 59\/2796.\nAnswer: 39476724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2002, 0.03, 3, 30, -8 in descending order.\nAnswer: 30, 3, 0.03, -8, -2002","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1534 and 1206362911?\nAnswer: 767","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -8*12\/9 - 2\/6. Suppose p = 4*p + 54. Let u = v - p. Calculate the least common multiple of 8 and u.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12778 - -13393. What is the greatest common factor of 8118 and x?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w - 4 = 50. What is the third biggest value in w, 4, -0.5, -10?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -10, 311\/6, 2\/9, -1\/8, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36896 + 18042136\/489. Is h less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(12) - (sqrt(12) - sqrt(24)\/sqrt(2))))\/(4*(sqrt(4)*2 + sqrt(4))) - ((sqrt(1728) - (sqrt(1728)*-2 + sqrt(1728))) + -2)**2.\nAnswer: -6916 + 2299*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 4:43 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 11\/((-15)\/108 - 1\/(-4)). Calculate the greatest common factor of 1122 and n.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(110)*3 + sqrt(110))*1)\/((sqrt(10) - 2*sqrt(1440))*6))**2.\nAnswer: 44\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-112)*(-13)\/(117\/18)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*c - 27*c - 1 = -b, 4*b + 3*c - 8 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 861?\nAnswer: 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + 47. Let x = -82 + l. Let j = x - -23.9. Which is the closest to j? (a) -2\/11 (b) -1 (c) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 10*s + 8*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*j = 278 - 1598. Suppose 17*q + 13*q - 9240 = 0. What is the greatest common divisor of q and j?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (4 + -8)) + (-1 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.059 - 0.091. Let w = f + 0.088. Let r = w + 5.062. Which is the second biggest value? (a) r (b) 1\/7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.517 times -18?\nAnswer: -333.306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5 + (1 - (3 - 5)). Let f(o) = 2*o**2 + 2*o - 1. Let v be f(c). Let l(m) = 3 - v + 0 + 2 - 5*m. What is l(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -18*o**2 - 2*o + 60. Let u(v) = 17*v**2 + 3*v - 59. Let l(t) = -5*p(t) - 4*u(t). What is the second derivative of l(f) wrt f?\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47562527 is divided by 119.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 10 = 22. Suppose 0 = -y*m - f + 2, 4*m + 3*f = 2*f + 4. Suppose 0*x = -5*x - 4*l + 82, -m*x + 40 = -2*l. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**3 + 11106089*c**2 + 29326722*c?\nAnswer: 6*c + 22212178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011101101110001 (base 2) in base 10?\nAnswer: -47985","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1*(sqrt(18) + 3))**2.\nAnswer: 18*sqrt(2) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 10*b**2. Suppose -q = 4*c + 4*q + 65, 0 = -5*c - 3*q - 91. Let v = c - -40. What is the least common multiple of v and a(-1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22986763 * 0.2.\nAnswer: -4597352.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -171, 0 in descending order.\nAnswer: 5, 1, 0, -171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 2*k**2 + 3. Let h be q(-2). Which is the closest to 1? (a) 1 (b) 0.052 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2851*v**3 - 15*v**2 + 5*v wrt v?\nAnswer: -17106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1497244198 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*b, 2*v + 5*b = v. Let i be v\/(-120) + (-5)\/(-6). Let w = -7 + 12. Solve -3*h - 4*s - 20 = 0, h - w*s + i = 7 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 164270?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 53006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/10021451 and -101\/6622.\nAnswer: 140300314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1+-1.76\nAnswer: -0.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + s + 35 - 21 + 2*s**2 - 5.\nAnswer: 2*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 10:36 PM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - 6*n - 8. Let p(g) = g**3 - 2*g**2 + g. Let m be p(3). Let a be 1*(m\/(-4) + 1). Let x be q(a). Sort -5, x, -2.\nAnswer: -5, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -25 + (-84)\/(-6) + 14. Which is the fourth biggest value? (a) r (b) 0 (c) 2\/5 (d) 44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/2 of a millimeter in micrometers?\nAnswer: 11500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (57*-1)\/((9\/20)\/(285\/475)) + -3?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -360 or 35457?\nAnswer: 35457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -5*o - 7*c + 7, 4*c = 2*o - 22 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/(-6)*(-4)\/30. Let h = -19.27 - -20. Let q = -0.23 + h. What is the third smallest value in 3, x, q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 269 = 5*f, 106 = -3*f + f + 2*n. Does 3 divide (2 - f\/(-6))*-2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of -27*a**5\/20 + 2*a**4\/3 - a**3\/3 + 5*a**2 + 2*a. Find the second derivative of j(x) wrt x.\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 n when two letters picked without replacement from jnjniqnjjjiiiijiinnn?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of -1\/189*l**7 + 5*l + 0*l**6 + 1\/27*l**4 + 0*l**3 + 1\/30*l**5 + 0 + 0*l**2. Find g, given that a(g) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 69*c**2 - 388*c - 504. Calculate g(-63).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -51 - ((728 - 737) + (-1 - -18))\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -153.6111001 * 0.3.\nAnswer: -46.08333003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 1 = 2*w, -2*w - 3 - 3 = -4*h. What is the units digit of (h\/(-2))\/((-2)\/48)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 10*y**2 + 14*y + 15. Suppose 64 = 4*p - 0*p + 4*k, -p - 5*k = -36. List the prime factors of q(p).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(3900)*2 - sqrt(3900) - sqrt(3900) - (sqrt(39) + (sqrt(351) - sqrt(39)))*-3)\/(-2*sqrt(147) + sqrt(27)\/(2*sqrt(9))))**2.\nAnswer: -20*sqrt(13)\/3 + 277\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 5*y + 22, -6*p - 3*y = -2*p - 22. Let j(a) = 1 - 1 - p - 3*a. What is the least common multiple of j(-4) and 14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1164396520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/37, 3791, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2553 (base 6) to base 15\nAnswer: 2d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49534404 and 372.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 6*n**2 - 2*n - 9. Let x be j(-6). Let t = 0 + x. Suppose -1 = -2*u + t. Solve 0*l = -u*l + 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 25 = 9. Let i = r - 7. What are the prime factors of 791\/3 + ((-11)\/3 - i)?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3 + 390*p**2 + 768*p.\nAnswer: 3*p*(p + 2)*(p + 128)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one quarters of a decade?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -661 + 3177 - 5*l + 7*l.\nAnswer: 2*l + 2516","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 134 = -26. What are the prime factors of 2\/9 - (y\/9 + -2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 26 or 7929\/305?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 6*f**2 - 3. Let i(y) = 6*y**2 - y - 4. Let l(t) = -4*b(t) + 3*i(t). What is the second derivative of l(r) wrt r?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/z**(-6)*z)\/z**(-13))\/((z\/(z**(-14)*z))\/(z\/z**(7\/5))) assuming z is positive.\nAnswer: z**(38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6247?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 255557*f**3 + 499248*f**2 wrt f?\nAnswer: 1533342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 357046 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (0 - ((-2)\/(-1))\/10)*-25\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 divided by -494.\nAnswer: 25\/494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 1)*(0 - 2*x + 0) + 0*x + 5*x + 2*x + (8 - 2 - 5 - 2*x)*(2 + 0 + 0).\nAnswer: -3*x + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 962541.\nAnswer: 3, 106949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 33624, 134493, 302606, 537963, 840564, 1210409, 1647498?\n\"Answer: 33622*o**2 + 3*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -10.7, 212.74?\nAnswer: -10.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2058942760 a multiple of 476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 3, 2 in decreasing order.\nAnswer: 3, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44.1*-53.56.\nAnswer: 2361.996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-14) + (-46)\/14. Let d = -7 + 10. Sort n, 2, d in increasing order.\nAnswer: n, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-13 - (7 - 17))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3*f**2 + 1)*(1 + 0 + 1) - f**2 - f**2 + 3*f**2 in the form y*f + p*f**2 + w and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*8\/11984)\/(306\/4284).\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*o - 72*o + 165*o + o**2 - o**2 - 38*o + 19*o**3.\nAnswer: 19*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -46.652 - -0.952. Round b to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2637 + -2535. What is the greatest common factor of 78 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7397 - -28?\nAnswer: -736e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -23399 divided by 120\nAnswer: -23399\/120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -23*z**3 + 340*z**2 - 2877*z. Let m(w) = -11*w**3 + 170*w**2 - 1439*w. Let p(y) = 22*y - 9. Let u be p(1). Let k(b) = u*m(b) - 6*i(b). Factor k(s).\nAnswer: -5*s*(s - 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 159145446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + (-2 - 12) + -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) - (-2*sqrt(119) + sqrt(119) - sqrt(119) - sqrt(119))*2) + sqrt(119) + sqrt(119) + (sqrt(119) - -6*sqrt(119)*2))\/(sqrt(700)*-1*5).\nAnswer: -11*sqrt(17)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -150 + 10505511.8112.\nAnswer: 10505361.8112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 558*j**4 - 2014*j**3 + 1068*j**2 - 144*j = 0. Calculate j.\nAnswer: 0, 2\/9, 12\/31, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 516 - 6*y**2 - 276 - 242.\nAnswer: -6*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 237*t**3*y**3 - 4*t**3*y**2 - t**3 + 2*y wrt y?\nAnswer: 1422*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*z - 59*z - 10*z**2.\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26958, -31413, -35868, -40323, -44778?\nAnswer: -49233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -5*n**2 - 6*n + 2. Let r = -29 + -1. Let b(j) = -j**2 - j + 1. Let z(m) = r*b(m) + 5*v(m). Factor z(d).\nAnswer: 5*(d - 2)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -0.04 (b) -5 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 344 - 344. What is the third biggest value in -3.6, p, -3?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 375319 at least as big as 375319?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 658565811?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -108, -19, -5, -2 in decreasing order.\nAnswer: -2, -5, -19, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of 13\/2*k**2 + 47 - 9*k + 0*k**3 + 1\/2*k**4. Differentiate z(w) with respect to w.\nAnswer: 6*w**2 + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162428 is divided by 858.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/25))**(1\/14)*v\/(v**(5\/8)*v)*(v\/(v**(-12)*v*v))\/v assuming v is positive.\nAnswer: v**(13121\/1400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12298.\nAnswer: 2, 11, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/7)\/((-6)\/42). Suppose u*n - 8 - 10 = 0. Solve 2 = 2*h, n*o + 0*h - 18 = -3*h for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12403 - -10?\nAnswer: 12413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9729 and 77832.\nAnswer: 77832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2993618 divided by 4.\nAnswer: 1496809\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -4.922 <= -0.36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19)\/(7182\/972))\/(18\/(-2688)*4)?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24310 divided by 221.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -319, -14990, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and 127388.3237205.\nAnswer: 127384.3237205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r - 1. Let s be ((-36)\/27)\/(4\/(-18)). Suppose 20 = -3*a + 5*z, s - 2 = 2*a + z. Suppose a*v = -5*v - 15. Calculate d(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -s, 3*g + 6*s - 63771 = 11*s. List the prime factors of g.\nAnswer: 21247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*i = -12. Suppose 0*a - i*a = 0. Let o(x) = x**3 + x + 6. Give o(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 622 is divided by (309 - 339)*(9\/(-15) - 1)?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 971636593*l**2*s**2 + 53*l**2*s + 4*l**2 + 10659*l + 3*s + 1 wrt s?\nAnswer: 1943273186*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*u = -39*u - 20. What is the lowest common multiple of 675\/10 + -7 + 2\/u and 6?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*u = -14*u - 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of c**7\/840 - c**6\/60 - 3*c**4\/8 + 4*c**2. Let m(d) be the second derivative of i(d). Determine f, given that m(f) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.803341 to 1 decimal place.\nAnswer: 11.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 - (-3 + (2 - 0)) - (-31823 - -31844)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence okom when four letters picked without replacement from {k: 1, m: 1, o: 2, g: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -1283725*t**2. Let z(r) = r. Calculate n(z(w)).\nAnswer: -1283725*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*l**2 + 20*l**2 + 29*l**2)*(-21 + 9 - 12).\nAnswer: -312*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/478766 or 0.193?\nAnswer: 0.193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) 7 (b) 3 (c) -2 (d) -65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(14\/5)*u**0)**(-5\/2) assuming u is positive.\nAnswer: u**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39 + -11. Let q = -17 + f. Suppose q*n - 15*n = -68. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 56.50604cm?\nAnswer: 0.0005650604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148*t + 374 = 39*t. Solve -34*n - t - 100 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/549458?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3117127111?\nAnswer: 7, 63614839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -8, 68*h = -3*u + 63*h + 14 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 459 and 8?\nAnswer: 3672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2 + 20975*g - 13584714.\nAnswer: -(g - 20306)*(g - 669)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 h when four letters picked without replacement from uuuuhppupupzapzap.\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -6*l + 13. Let c(u) = 5*u - 13. Let d(m) = -3*c(m) - 4*r(m). What are the prime factors of d(6)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -276088*o**3 - 12*o**2*y**3 + 3049*o + 2*y**3 - y**2 - 96*y wrt o.\nAnswer: -1656528*o - 24*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*z = 100*z - 20498 - 13477. Let m = -56 + 94. Calculate the remainder when z is divided by m.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 178 divided by -178.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04372 rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**5\/5 + 23*d**4\/5 + 35*d**3 + 85*d**2 - 100*d - 500 = 0. What is d?\nAnswer: -10, -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8870?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 349\nAnswer: -4\/349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 377 (c) 2\/11 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1294 is divided by ((-60)\/(-35))\/((-84)\/(-980))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(2299)*1)**2)*-3.\nAnswer: -6903","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**4 - 1011738*x**3 - 6070465*x**2 + 1011738*x + 6070464 = 0. Calculate x.\nAnswer: -6, -1, 1, 1011744","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 75 + 0 + 5*v + 4. Let q be i(-16). Let c = -207\/4 - -52. What is the second biggest value in 0.2, q, -4\/9, c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -25, 3\/2, -0.5, 16?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 222 - 141. Does 27 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -9*b**2 - 1471*b + 13242. Calculate t(-172).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/236844 and 179\/42840.\nAnswer: 16579080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 981747581 + -550517581. What is g rounded to the nearest 1000000?\nAnswer: 431000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = 4030 + 11778. Let y = 3097 - t. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*i, k - 9*i + 6*i - 375 = 0. What is the smallest common multiple of 108 and k?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(3\/7)*r**(-9))\/(r**(-2\/5))**(8\/3))\/(r**(-14)\/(r*r**(-2\/13)*r*r))**(-4\/15) assuming r is positive.\nAnswer: r**(-16181\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-248)\/868)\/((11\/7)\/11).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00078334689 rounded to five decimal places?\nAnswer: -0.00078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -bd652 + 4?\nAnswer: -bd64d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10488 is divided by 125.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1514 (base 6) to base 10\nAnswer: -406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*d - 439 - 1969 = 0. What is the highest common divisor of 42 and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 5. Let s(a) = 3*a**3 + 13*a**2 + 3*a - 2. Let g be s(-4). Suppose -x + 3*k + p = g*k, 0 = x - 2*k - 1. Solve x*u + 2 = -13 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-180)*(-11 - -9)*-14\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 450 - 294. Let k = m + -134. Which is smaller: 2\/3 or k?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8893?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**5\/9 + 3194*w**4\/3 + 67228*w**3\/9 - 89576*w**2\/3 + 191920*w\/9 = 0. What is w?\nAnswer: -10, 0, 1, 2, 4798","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2642002?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1578881 is divided by 244.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j, 1 g, and 1 d when four letters picked without replacement from jadajjjgahdi.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1635, -2569, -3503, -4437, -5371, -6305?\nAnswer: -7239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1129 divided by 1.\nAnswer: 1129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jyyx when four letters picked without replacement from {y: 2, e: 1, j: 1, x: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6962 - -7554. What is the smallest common multiple of p and 64?\nAnswer: 2368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-5))**(-35\/4)\/(g**(4\/9)*g)**3 assuming g is positive.\nAnswer: g**(473\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 415161 (base 7) to base 6\nAnswer: 1310420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2179 is divided by 137?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3607.79 - 3608.055159. Let a = -0.265 - p. Round a to 5 decimal places.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -16*y**3 - y - 2. Suppose 337*l = 378*l - 82. Let c(b) = 15*b**3 - b**2 + b + 3. Give l*c(h) + 3*j(h).\nAnswer: -18*h**3 - 2*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 362*j - 490*j - 2*j**2 + 244*j to n*j + z + d*j**2 and give n.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = c - 5*z, -z + 6 = -5*c + 29. Suppose k = c*k + 32. Let n(r) = -r + 3. Let t be n(k). Calculate the highest common divisor of 77 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/16*1)\/(21\/(-8))\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-20)*(0 + -5). Let y be -2 + (4\/2)\/s. Calculate the remainder when 10 is divided by (y - -8)*6\/7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1473 - 1\/((-3)\/12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -6350*j + 590945. What is k(93)?\nAnswer: 395","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -0.189.\nAnswer: 0.189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 7418070, 14836143, 22254216?\n\"Answer: 7418073*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c = 5*m - 3*c + 1, -5*m - 5*c = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of 212*h**6\/3 + 89*h**3\/3 + h - 1564. Find the third derivative of u(q) wrt q.\nAnswer: 25440*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 13*c - 14. Let o = -9477 + 9480. Determine t(o).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 17 (b) -43 (c) -2\/7 (d) -0.1179 (e) -3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 16, -10, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 358*c**2*y**2 - 21*c**2*y + 2*c**2 + 2847*c + 9*y**2 wrt c?\nAnswer: 716*y**2 - 42*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a tonne in grams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/4, 17311, 5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 258205267 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 6*k. Let c(z) = 114111*z - 4. Calculate b(c(u)).\nAnswer: 684666*u - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 6*sqrt(57)\/sqrt(3) + -2*sqrt(19)*-1 + (sqrt(152)\/(sqrt(24)\/sqrt(3)))**2*1.\nAnswer: 23 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107027.\nAnswer: 19, 43, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-24)\/84 + (-4)\/(-14). Let g = 0 + 15. Suppose 0 = -3*k - 2*k + g. Solve -h + k*h - 6 = t for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -11*b + 10881. Let x = 2020 - b. Suppose 302 + x = 3*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*u = -0*f + 83, 244 = 3*f - u. Calculate the remainder when 17 is divided by ((-1)\/3)\/((-3)\/f).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 386, 1 in descending order.\nAnswer: 386, 1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3*z - 13. Let x be s(-5). Let w(h) be the second derivative of 7\/60*h**5 - 2\/45*h**6 + 0 + 0*h**x - 1\/18*h**4 - 4*h - 1\/18*h**3. Factor w(n).\nAnswer: -n*(n - 1)**2*(4*n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 8*m**2 - 45*m + 19. Let v be u(7). Calculate the greatest common factor of v and 376.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 191 divide 1112189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -8, 3\/493 in decreasing order.\nAnswer: 0.2, 3\/493, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2407 = -4*b - b, 2*k - 5*b = -2417. Let c be (204345\/(-30))\/19*2. Let z = c - k. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 64128456 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -30800 (base 9) in base 4?\nAnswer: -10331223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3677?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3966, -3969, -3972, -3975?\nAnswer: -3978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6510)\/1925*11 - -33.\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/3 (b) 1 (c) -0.5 (d) 2\/2535 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.23 and -0.156.\nAnswer: 0.03588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -2 (b) -1\/2 (c) -3 (d) 91 (e) 1\/976 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115392?\nAnswer: 2, 3, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -30 in 0.4, 5, -2322, -81?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.6897 + 1.3103. Which is the closest to 0? (a) r (b) 2 (c) -1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/5477 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -1. Suppose n = 3*u - 22 - 41. Calculate the remainder when u is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 17, f: 1}. What is prob of picking 1 f and 1 a?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 344.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -13*v**2. Let g(m) = -11*m + 2*m**2 + 21*m - 10*m. Give g(i(r)).\nAnswer: 338*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**17*z**(-3\/4)*(z**0)**(-28) assuming z is positive.\nAnswer: z**(65\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 35 and -7.4865.\nAnswer: 27.5135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*z - 8 = 5*v + 9*z, -4*z = v - 11 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43 + -40. Suppose -l - 3*l + 24 = 4*m, -b*l + m + 14 = 0. Suppose 8 = 5*s - v, -2*s - l*v = 12 + 1. Is 22 < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j + 2. Let i be a(0). Suppose v + 4*l + 20 = 3*v, -i*v = -l - 32. Calculate the remainder when ((-15)\/(-10))\/((7\/46)\/7) is divided by v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 3*b**3 + 5931*b**2 = 0.\nAnswer: -1977, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 900096205.\nAnswer: 5, 73, 743, 3319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c + 481 = 24*c. What is the remainder when c is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -233*d - 23278. What is n(-100)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2642\/1465 + -1\/293. Let y be (3\/(-18))\/((-4)\/(-1386)). Let o = y + 58. Is r bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 194 = 3*r. Find the common denominator of 21\/10 and -1 + (2 - r\/4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 8) in base 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p - 15. What is k(21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2542, 10794, 24540, 43780, 68514, 98742, 134464?\nAnswer: 175680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20*(-1)\/8*(-68)\/17)\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 5*z + 7 = 0, -5*p - 15 = -5*z - 120. Let y(x) = -59*x + 3. Let f be y(2). Let u = -68 - f. What is the remainder when u is divided by p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -141688*m**2 + 52*m.\nAnswer: -4*m*(35422*m - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1291, -1998, -3159, -4774?\nAnswer: -6843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3*v**2 - 3*v. Let n(u) = 7*u**2 - 9*u + 1. What is -8*j(b) + 3*n(b)?\nAnswer: -3*b**2 - 3*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5\/3 - -9\/5. Let x = 0 + 2. What is the closest to x in r, 1\/9, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 410.6 - 411.6. Let f be 2\/4 - 34\/84. Which is the closest to 3? (a) -2\/11 (b) p (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 24 - 28 = 0. Let v(d) = d**2 - 6*d - 2. Let u be v(7). Suppose -f - u*b = 13, -52 = -3*f + 7*f - 2*b. Is f less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -475533\/29 or -16399?\nAnswer: -16399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 404, -1\/7, 2\/3, -5, -27?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -22*h - 2. Let p = 11 + 0. What is the remainder when v(-2) is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 9*g**2 + 330*g - 60. Let x be w(-37). Solve 55*z - x*z - 4 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14192903 is divided by 337926.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 481*o**2 - 238*o**2 - 16*o - 242*o**2 + 16 + 12.\nAnswer: (o - 14)*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 810038044 to the power of 1\/3, to the nearest integer?\nAnswer: 932","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 160 and 46.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(136) + -2*sqrt(136)*1))\/(-1*sqrt(392)*2).\nAnswer: -3*sqrt(17)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + 56150010 + -7 - 1. Round t to the nearest 1000000.\nAnswer: 56000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1 + sqrt(1300))**2.\nAnswer: 20*sqrt(13) + 1298","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.049 - 10.151. Let n = u + 13.2. Let y = 40 + -24. Which is the nearest to y? (a) 1\/5 (b) 0.1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*(9\/(-2) - -3). Let l be (35\/(-7))\/(2 + j). Suppose n + 0 + 3 = 2*a, -n - 3 = 5*a. Sort l, -2, a in increasing order.\nAnswer: -2, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1055 - 37010?\nAnswer: -40065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -3*l - 1. Let j be v(-1). Let w = 74.9 - 69. Let z = -6 + w. Which is the biggest value? (a) z (b) j (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**3 + 2*k**3 - 5*k**3)*(-2*k + 1 - 1 + (-4 - 6 + 4)*(0*k - 3*k + k) - k + 4*k - 4*k + k + 3*k - 5*k).\nAnswer: -24*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + 9*a - 6. Let c be i(-6). Let b = -12 - c. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1242151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, p: 9, e: 6}. What is prob of sequence dde?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2715241 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 6:13 PM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -89*m + 41*m + 46*m + 1. Let v be w(-11). Suppose -58500000 = 28*z - v*z. Round z to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 65 (base 7) to base 6\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-1 + -7) - (2 + 5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 1816088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 21 - 5, o - 3*p - 179 = 0. Suppose o*m - 165*m = 10. Solve -m*s + 3 = 13 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q**2 - 27*q + 55. What is i(-8)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 4 + 4)*(5*v - 2*v - 2*v)*(-2*v**2 + 2*v**2 - v**3)*(2 + 0 - 3).\nAnswer: 6*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 2d?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 51 - 1347. Let t(m) = -48*m**2 + 699 - v. Let z(b) = 2*b**2. Calculate z(t(i)).\nAnswer: 4608*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12 - 8 + 17*f**4 - f**2 + 0 - 3*f**3 wrt f?\nAnswer: 408*f - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.142204 * 0.5.\nAnswer: 0.071102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/7 (b) 0.017 (c) -1 (d) -9\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*x**6 + 2*x**5 + 140*x**4 - x**2 + 396*x wrt x?\nAnswer: -1200*x**3 + 120*x**2 + 3360*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -0.50705?\nAnswer: -0.20282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 114 and 4593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/84 and -23\/120.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 2. Solve g*b + 3*l = -13 + 39, b - 11 = -3*l for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j + 54. Let h be k(-18). Solve r = -2*a - 3, h*r - 18 = -r + 5*a for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/20*0)\/((-16)\/(-16))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*a - 501 - 852 = 22*a for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - (-4 - -20)*(-7)\/14*-1. Suppose 0 = -5*n - 4*c - 55, 4*n + c + 44 = -4*c. Is s less than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3 - 101392*w**2 + 405592*w - 405600.\nAnswer: -2*(w - 2)**2*(w + 50700)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-2\/15)*a*a)\/(a*a*a**(9\/4)\/a))**(1\/44)\/((a**(-2)\/a*a)**(-40))**27 assuming a is positive.\nAnswer: a**(-5702423\/2640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25.3 - 25.6. Let w = 0.3 - 0.3. Put a, w, -7 in decreasing order.\nAnswer: w, a, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 69 - 55. Let m = 14.2 - v. Which is the second smallest value? (a) m (b) -0.2 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 26 = 35. Suppose -4*l + 0*l + 112 = p*g, 5 = 5*l. Does 18 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4938, 9656, 14340, 18990?\nAnswer: 23606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - b + 4*p + 6 = 0, p = -3 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + 77\/(-15) + 10\/75. Is (0 - 0)\/p + 162 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -6*s + 11. Let c be l(1). Solve 2*p + 1 + c = -3*m, 0 = p for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 z when two letters picked without replacement from rrjaxrzrrrxxjrjxrrj.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 396 - 197. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -267*o**2 + 2*o - 1. Let p be n(-2). Let a = -702 - p. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-545716)\/(-1500719)*((3\/(-2))\/(-3))\/(2\/(-46)).\nAnswer: -46\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 0.13, 2, 0, -1116\/17, -4\/9, 13?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38.8 - 44. Let c = i + -6.9. What is c rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -95 + 88. Let g(o) = 8*o**2 + 25*o + 6. What are the prime factors of g(w)?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 15*t**2 - 14*t + 30. What is s(-16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -555 - 224?\nAnswer: -1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 341929 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 180 and 22300?\nAnswer: 200700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9322327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5 = -0*g + 2*q, -4*q = 3*g - 17. Suppose 8 + 0 = 2*a - t, g*a - 11 = 2*t. Let v(u) = -u + 6. Let r(p) = -p + 9. Calculate a*r(d) - 7*v(d).\nAnswer: 2*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2661 + d?\nAnswer: -2653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 79830 a multiple of 165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2861 + 9398. What is the hundreds digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3*y**2 - 14*y - 44. Give a(-3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -22*g - 2. Let t(l) = l**2. Determine t(n(r)).\nAnswer: 484*r**2 + 88*r + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 78 - -46. Let h = 3666 + -3667. What is the remainder when 94 is divided by h\/2 - (-1 + q\/(-8))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/1891 (b) 6 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w + 3 - 3)*(-9 - 3 + 2)*(2 - 3 + 0)*(-6 - 1 + 3).\nAnswer: -120*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**7\/k)\/k*k\/(k*k\/k**4)*((k\/(k\/k**(-2)))\/k)**26 assuming k is positive.\nAnswer: k**(-69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 8*z**2 - 7*z + 2. Let v be (-16)\/(-32) - 23\/2. Let j be v + (-5)\/((-20)\/16). Give o(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24766551 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 13166 = -4*s + 13148, -3*o - 38 = -4*s for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -26, -2.\nAnswer: -26, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yygyyyyyyyygyygyyg. Give prob of sequence ygyy.\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6059\/730 + 17\/(-51) + ((-59)\/30 - -2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1498 - -1515. Solve -2*m + 1 = -m - 2*p, -4*m = -p + s for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eight sevenths of a week?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/11 in -2\/9, 3, 7\/4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -1020*x - 4998. What is g(-5)?\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-1\/2)*o)\/(o\/o**(5\/4)))\/(o\/((o**(1\/4)*o)\/o))**(-45) assuming o is positive.\nAnswer: o**(71\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -2*x + 365, -s = -4*s - 15. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -2, -10, 9 in increasing order.\nAnswer: -10, -2, 7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.51356 + 0.05996. What is y rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ka when two letters picked without replacement from aamkmakaakaakkaak?\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*z = 8, 3*z = -5*q + 14 + 8. Let m(d) = -2*d - 7. Let k be m(-6). Let b(n) = 2*n**q - k*n**2 + 5*n**2. Let j(g) = 2*g. Give b(j(r)).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 7:39 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1*3358 - (-117)\/13.\nAnswer: 7, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30250 (base 9) to base 2\nAnswer: 100110110110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -315 + 315. Suppose 0 = -3*x - o*x + 6*x. Suppose 0 = 3*s + 2 - 47. Solve x = -4*q + q + s for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of -215*k**8\/336 - k**6\/60 - 13*k**5\/3 + k**4\/8 + 1059*k**2. Find the third derivative of a(d) wrt d.\nAnswer: -12900*d**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 + -25. Put 1, 7, y in descending order.\nAnswer: 7, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 10 = 4*u. Solve 0*w = u*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v + 2060*v**2 + v - 4*v - 52.\nAnswer: 2060*v**2 - 2*v - 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 165 divide 4085456925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3038*y**3 - 1519*y**3 - 608*y + 308*y + 300*y - 1520*y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 5041*h**4 + 6312752*h**3\/5 - 688057*h**2 - 208844*h\/5 - 3012\/5 = 0. Calculate h.\nAnswer: -251, -2\/71, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 2*u + 4. Let d be 3 + -3 + 17 - -1. Solve -4*p + u*b + d = -0*p, -2*b = 2 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*s - 1690 = -155*s + 52*s for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-8)*(-8)\/(-3). Find h, given that -71*h**2 - 16 + 20*h - 4*h + 67*h**y = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43.4 - 48.4. Put y, -9, 10 in increasing order.\nAnswer: -9, y, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 883454431?\nAnswer: 883454431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 r, and 1 f when three letters picked without replacement from rmrfu?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 5*y + 38 = -y, 3*y + 109 = 2*k. Let b = -694 - -842. Calculate the remainder when b is divided by k.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 1 = -5*r, -z - 17*r + 10 = -19*r. Calculate the lowest common multiple of z and 44.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -45745?\nAnswer: 45749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9521144.4 rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*w**3 + 43653*w**2 + 489976*w wrt w?\nAnswer: 36*w + 87306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, -24, 2, -1688, 5 in decreasing order.\nAnswer: 5, 2, 0, -4, -24, -1688","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -977 smaller than -975?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 0*l + 2 = 0. Let n(d) = -d**3 - 3*d**2 + 4*d + 14. Let x be n(-3). Solve 3*h = i - 1, -x*h + l*i - 6 = -0*i for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, r: 5, q: 3}. Give prob of picking 4 r.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 41*w**5 + 58*w**2 - 2 wrt w?\nAnswer: 2460*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 4:39 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 403140595+-3\nAnswer: 403140592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6.463177 millimeters?\nAnswer: 6463177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from ssiiiissiissis.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 87175156, 174350312, 261525468, 348700624, 435875780?\n\"Answer: 87175156*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0)*(-5*b + 16*b - 7*b + 25 + (-b + 4*b - 2*b)*(1 - 1 + 2)).\nAnswer: -12*b - 50","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -89\/11? (a) -5.8 (b) -1 (c) 2\/15 (d) 111 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*t = 23*t + 1090. Let g = t + 42. What are the prime factors of g?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3635043983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/7310771 and 33\/16471?\nAnswer: 51175397","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 55440 divided by 29?\nAnswer: 55440\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -73 + 75. Which is the closest to v? (a) -0.3 (b) -2\/7 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + 3*b - 2. Let u be s(4). Suppose -5*x = v + 1, -4*x + 8*x + 4*v = -4. Let f = x - u. What is the least common multiple of f and 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + p - 65 = 6*p, 2*p = 10. Suppose m = u - 45. Is u a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1729076 by -1.\nAnswer: -1729076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/2943570 and 51\/35.\nAnswer: 2943570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3*sqrt(68) + sqrt(68)) - (sqrt(2448)*-2 + sqrt(2448))**2*-2.\nAnswer: 16*sqrt(17) + 4896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -75d - 1?\nAnswer: -75e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -11. Solve r - y*r = -2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, t: 10, b: 2}. Give prob of sequence tb.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/3*72045\/(-30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26.2 + 29. Let s = -0.8 + z. Which is the biggest value? (a) s (b) -2 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -3*l**2\/2 - l - 2. Suppose -5*w + 11*w = 90. Suppose -a - w = -16. Determine v(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**2\/9 - 4*n\/3 - 10\/9 = 0 for n.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**3*c)\/((c*c\/c**(-1\/3))\/c))\/(c**(-4)*c*c**(1\/8)*c) assuming c is positive.\nAnswer: c**(157\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/6 - ((-43)\/(-3) + -287 + 281). Let z be (-1)\/6*(-1)\/(-2). What is the smallest value in z, -4\/7, 0, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = q - 5215. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 166943?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 365534543 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (81\/(-7))\/(-9)*(-16)\/(-36)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -36 - 21. Let u be (-6)\/2 + 45\/9. Suppose 194 = u*v + 6*m - 2*m, 0 = 2*v + m - 191. What is the highest common factor of v and s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*m + z + 4*z = -160, 3*z - 7 = -5*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 AM and 12:51 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/51 and 26\/9.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 42532, -11 in ascending order.\nAnswer: -11, 0, 42532","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - (-1 - (2 - -20)). Let d be ((-720)\/t)\/((-4)\/358750). Let x be d*(0 + -1 - 3). What is x rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*g + 4*q - 43 = 11, q + 11 - 9 = -g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 + 29. Let b = 70 + -42. Let f = 29 - b. Is f greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 98 + -94 - (-7 + 0).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(((-15)\/390*-13)\/((-1)\/(-6))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -502.77 + 481.9. Round j to the nearest integer.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 96400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7798.\nAnswer: 2, 7, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 118045 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-92)\/112*2 + (-3)\/(-6). Which is the nearest to -0.1? (a) -1\/4 (b) p (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 200 - 102. Let j = r + -95. Suppose -j*i + 61 = -f, i + f - 27 = -0*f. What is the smallest common multiple of i and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 b when two letters picked without replacement from {b: 3, d: 3, f: 1, y: 4, p: 2, o: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 7*q**2 - 8*q + 11. Suppose -5*x + 10 = 5. Suppose 0 = -3*w + 5*p - 35 + x, 4*w + 5*p + 22 = 0. Determine m(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3619852 is divided by 3361?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56225310?\nAnswer: 2, 3, 5, 1874177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 4*x**2 + 299*x - 1356. What is c(-79)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -240512.200192 + 240519. Let p = x + -6.8. What is p rounded to five decimal places?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122840.5kg to micrograms.\nAnswer: 122840500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 315*u - 319*u + 4 = 0, 3*b + 3*u + 3 = 0. Let w = -3 - -6. Suppose 0 = -n - 3*n + 8. Put n, b, w in descending order.\nAnswer: w, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -1091*b + 3. Let k(i) = -752*i**2 - 1. Calculate d(k(h)).\nAnswer: 820432*h**2 + 1094","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1383, -2749, -4115?\n\"Answer: -1366*q - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8733 - -61133\/7. Let m = -2 + 3. Is l smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 2*y - 5*q - 6, -2*y - q + 6 = 0. Suppose y*x + 8 = 7*x, h - 21 = -3*x. Let g = h - 5. Solve -j - 2*i = 0, 2*j + g = 5*j + i for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 670 + 4250 = 0. Let u = i - 583. Is u a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 78979 + 15714 = 0. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of 19*u**5 + 0*u - 205\/3*u**3 - 154 + 0*u**4 + 0*u**2. Find the third derivative of r(l) wrt l.\nAnswer: 2280*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(896) + sqrt(14)))\/(sqrt(2) - sqrt(6)\/(sqrt(3) + sqrt(3)*5)).\nAnswer: 324*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 36781759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/l**(3\/7))\/l)\/l)\/l*l**(-1\/12)*(l*(l*l*l**2)\/l*l)\/l*l*l**3)\/(l**(-3)*((l**(-6)*l*l*l)\/l)\/l)**(-2\/9) assuming l is positive.\nAnswer: l**(935\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of 6*h**2 - 3*h + 33. Let i be s(6). Let u = i + 70. What are the prime factors of u?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1049, -1056, -1065, -1076, -1089, -1104?\n\"Answer: -v**2 - 4*v - 1044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/(-10) + 6627*(-296)\/(-120).\nAnswer: 3, 5449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/704 and 131\/2112.\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 + 29. Let j(g) = -45*g - 4. Let p be j(n). Suppose -34 = -3*o - 5*r + p, o + r - 68 = 0. Calculate the remainder when o is divided by 35.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -385, 1242 in ascending order.\nAnswer: -385, 2, 1242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.045 + -0.3\nAnswer: -0.255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 3*z**2 - 9 + 19 - 8.\nAnswer: 3*z**2 + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 3*j - 4. Let c be z(4). Suppose -24 = 2*u - c*u. What is the highest common factor of u and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 4, 126, -6 in increasing order.\nAnswer: -6, -1, 3, 4, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 3*v, -5 = 4*y - 2*v + 9. Let z = 29\/51 + -4\/17. Let m = 13.2 - 13. Which is the third smallest value? (a) m (b) z (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -137, -139, -141, -143?\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26833 + 26958. Let u = 88 + -12. What is the remainder when s is divided by u?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 4*q + 69. Let c = -23 + 25. Suppose q = -o - 5*f, -f + c*f = -5*o + 5. Solve 0 = 3*i + o + 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeoeeo. Give prob of picking 2 e.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 24*s**2 - 9*s - 367. Calculate g(8).\nAnswer: 1609","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**3 + 21*b**2 - 21*b**2 + 5*b - 488*b**3 - 576*b**3 + 350*b**3 + (-b + b + b**2)*(-4*b + 3*b + 2*b).\nAnswer: -714*b**3 + 5*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 94965 divided by 6?\nAnswer: 31655\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + d + 1862 = -3*d, -2*d = 6. Let h = f + -251. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13325200 (base 7) in base 2?\nAnswer: 100101101001001110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/5 - 14156*m\/5 + 25049042\/5.\nAnswer: 2*(m - 3539)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a micrometer in nanometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1151\/286 + -81\/26. Which is smaller: 0 or i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 135 - 136. Let g be (-45 - -44)*(-10)\/(z - 1). Let y(q) = -3*q - 4. Give y(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - 0. Which is the second biggest value? (a) 6 (b) 2\/3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123248 is divided by 495.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n**2\/11 - 104*n\/11 - 40\/11 = 0.\nAnswer: -10, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*k + 40*k - 38292 = 0. Solve -o + k = 3198 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a kilogram in milligrams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.4 + 2. Let j = -0.39 - -0.09. Let q = -0.1 - j. What is the third biggest value in t, q, -0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 1)*(-17 - 0) - -7. Let p(b) = 5*b + 13. What is p(u)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 191 + -136. Calculate the greatest common factor of 11 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one quarter of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 102981*z + 1544669. Give j(-15).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.9915305us to days.\nAnswer: 0.00000000005777234375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -1. Let d = 14573 - 102663\/7. Let q = d - -93. Which is the second biggest value? (a) q (b) 2\/5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of -49*g**6\/60 + 109*g**3\/6 + 11*g**2. Differentiate b(z) with respect to z.\nAnswer: -294*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -1069*p - 81249. What is q(-76)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffffffkffkfffkfff. What is prob of picking 2 k and 2 f?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 38*v - 0*v - 720440. List the prime factors of v.\nAnswer: 7, 31, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(448) + (sqrt(448)*-6)**2 - (-1 + (sqrt(7) + 2)**2).\nAnswer: 4*sqrt(7) + 16118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18432 divided by 19.\nAnswer: 18432\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (28\/49)\/((-4)\/(-14)). Let a(g) = 0 + m*g**2 + 0*g**2 + 0. Let r(k) = 10*k. Give a(r(c)).\nAnswer: 200*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -10101010111101101111001 (base 2) to base 11\nAnswer: -3186aa1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -36 + -17 + (33 - -85 - 30)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-6)*(-230)\/(-184)*8\/16*12.\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (16\/12)\/(202\/66 + -3).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7974 + 95689\/12. Let p(g) be the second derivative of 22*g - i*g**4 + 0 + 1\/2*g**3 + 3\/2*g**2. Give p(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 11251, 45031, 101355, 180241, 281707?\n\"Answer: 3*s**3 + 11254*s**2 - 3*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 12:48 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, y: 11}. Give prob of picking 1 y and 1 c.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 3 = -7, -3*s = q + 2. Suppose 4*j - q*c = 3 - 7, -3*c = -9. Solve -3*l = -4*d + 11, j*d - 1 = -6*l + 3*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 5:54 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -57.8 and -5.76144848.\nAnswer: -63.56144848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, y: 1, u: 5, b: 5}. What is prob of picking 1 b and 2 z?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5719276 a multiple of 557?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2843.00004374 + -2843. Round v to 6 dps.\nAnswer: 0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/78)\/(1\/18). Let d(q) = -q**2 + 28*q + 27. Let m be d(29). Are w and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79*-1 - (2825\/226 - 533\/26)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 21*o - 465. Suppose 41*s - 51 - o = 0. Solve m = -y + 3*y - s, 2*y = 2*m for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 + 0 - 381*r + 3 + 8 as v*r + o and give v.\nAnswer: -381","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b + 27. Let a(r) = -3*r + 27. Let p(u) = 2*a(u) - 3*l(u). Let w(m) = -2*m + 27. Let z(d) = -3*p(d) - 4*w(d). Differentiate z(h) wrt h.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (90\/84)\/(20\/49). Which is the third smallest value? (a) -2\/7 (b) -1 (c) -0.1 (d) l (e) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 56 - 1b3b39?\nAnswer: -1b3aa3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/9, -1\/3, 22\/9?\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 187*g + 2 - 1 - 1.\nAnswer: 187*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 138 and 184.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 4326645?\nAnswer: 4326643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 0*b = -7. Let w be (-356)\/(-28) - (-2)\/b. Let f = w - 8. Let k(z) = z**3 - 4*z**2 - 5*z - 5. Determine k(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13.6 - -15. Let d = 2 - x. Let b = 0.8 - d. What is the third biggest value in b, -1, 3\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 2*q**4\/13 + 6*q**3\/13 - 4*q**2\/13 - 24*q\/13 - 16\/13 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 17*m**2 - 4*m**2 + 14*m**2. Let s(y) = 71*y - 23*y - 23*y - 23*y. Give s(d(v)).\nAnswer: 54*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36 + 41. Suppose -3*w - 6*j = -j - 34, v*w = -3*j + 30. Solve -a = -w*l, 2*a = -4*l + a for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*n = -75*n + 96 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 2*y + 5. Suppose 1215 = 3*b - 5*m, -2*b + 510 = -5*m - 300. Let w = -408 + b. Calculate f(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -122344*a**3 - 5*a**2 - 8*a + 7. Let r be u(-4). Suppose -3*y + 13049985 = 5*h, -5*h + 2*h - 5*y + r = 0. Round h to the nearest 100000.\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -729 + 740. Let w(z) = 126 - 134 + x*z - 9*z. Let m(i) = 1. Determine 2*m(q) + w(q).\nAnswer: 2*q - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2471 and -0.09?\nAnswer: -222.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - 4) + 4 + 1. Let z = 19.13 - 19. Let g = -1.87 - z. What is the third biggest value in w, g, -0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -9406302809555 and 1?\nAnswer: 9406302809556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/21 and 17\/891984.\nAnswer: 6243888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286482.\nAnswer: 2, 3, 7, 19, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 144 and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -146960334 divided by -146960334.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 32928751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -330.01 rounded to the nearest 10?\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.01799 + 0.01794066. Round r to 6 dps.\nAnswer: -0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of q**6\/240 - q**5\/60 + q**4\/48 - 39*q**2\/2 + 9. Let s(a) be the second derivative of u(a). Factor s(z).\nAnswer: z*(z - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31531*t**3 - 31616*t**3 + 63275*t**3.\nAnswer: 128*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 189*s + 51?\nAnswer: 189","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -6*y - 6*y. Calculate the smallest common multiple of 44 and (y + (-23)\/2)*16\/(-6).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 370, -0.1, -4947?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27608\/357 + -49)*(-12 + 3)\/(-3).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*j + 139*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + (5 - 5) - 1) + -1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000077794 rounded to 7 decimal places?\nAnswer: 0.0000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*u + 5*u + 12. Let h(x) = 3*x**3 - 5*x - 5. Is h(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 17 from -34614122928.\nAnswer: -34614122945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 18 = -5*q, 5*k + 4*q = 1745. Let a = 620 - k. Calculate the smallest common multiple of a and 21.\nAnswer: 1869","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21120704.\nAnswer: 2, 11, 19, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 15, x: 4}. Give prob of picking 2 q and 2 x.\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -294441*h - 1295773 wrt h?\nAnswer: -294441","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus -55266716?\nAnswer: 55266716.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2142 + 1247 = -208*b - 1752 - 891 for b.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 3*l = 6. Let f be 456\/192 + 1 + 22\/(-16). Solve 3*s + 4*u + 6 = 0, s + 6 - f = -l*u for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50647 to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 328344395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.612739466 to 3 dps.\nAnswer: 1.613","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -138 + 139. Let g(w) = 4*w**2 + 5*w - 1. Let t(u) = u**2 + u. Let d(j) = -g(j) + 5*t(j). Let k(a) = -4*a**2 - a - 1. What is l*k(f) + d(f)?\nAnswer: -3*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5403.\nAnswer: 3, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2344 - 4715 + 2337)*(-3 - z + 3 - 1)*(-z + 2*z**2 + z).\nAnswer: 68*z**3 + 68*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 371664803 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 388965 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (372\/496)\/((2\/(-8))\/(-1)). Solve -d + 1 = -w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 124410968 to the nearest integer?\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/2 - (-1)\/10. Let y = -13 + 13.15. Let b = 0.13 - y. What is the second biggest value in b, 0.4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 442*h + 152*h - 58854 = 17*h for h.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 185.\nAnswer: 92.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 6*h**2 - 4*h - 4. Let r be i(5). Let c(x) = 38*x**2 + x - 1. Is 24 a factor of c(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -1. Suppose -q*z - 2 = -2*f, 0 - 22 = -2*f - 3*z. Let b(g) = -g + 3. Determine b(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = -26 + 5. Put 8, 4, y in decreasing order.\nAnswer: 8, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -628, -2603, -5918, -10579, -16592?\n\"Answer: -g**3 - 664*g**2 + 24*g + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4238807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p + 0 + 6 - 6 to l + t*p and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1971 + -650429\/330. Let y(c) be the third derivative of 6*c**2 - j*c**5 + 0 + 0*c**4 + 4\/33*c**3 + 0*c. Let y(d) = 0. What is d?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1443 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 27*j**3 + j - 1. Let m be u(1). What is the highest common divisor of 63 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.317 - -0.5. What is m rounded to 2 dps?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 + 24. Suppose -5*q + 354 = -r*k, 3*q - 59 = 3*k + 157. Suppose -v - v - 122 = -2*z, z - 5*v = q. List the prime factors of z.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 0.4, -8.34, 3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49440 by -49440.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*d + 4*d**2 - 9*d**2 + 6*d**2 - 25.\nAnswer: d**2 + 15*d - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50 - (-30 - 86)) + -151?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3, -18, -49, -96, -165, -262?\n\"Answer: -r**3 + r**2 - 17*r + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58840.\nAnswer: 2, 5, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a gram in milligrams?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - z = 7, -5*u - 5*z - 55 = -40 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of y**4\/4 + 13*y**3\/3 - 11*y**2\/2 + 57*y + 195. Let a be q(-14). Sort -0.06, -2, a, -3 in descending order.\nAnswer: a, -0.06, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from thtoh. What is prob of sequence hto?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of 0*c - 1 + 5\/2*c**2. Let v(l) = 2*l**2. What is r(v(x))?\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.396026 milligrams to kilograms.\nAnswer: 0.000001396026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 4*b = -6032, 6027 = 2*i + 12*b - 7*b. Let v = -279 + i. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*1*99\/792*6*(-4)\/(-144).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r**2 - r + 5. Let g be a(0). Solve -2*b = -4, g*s - 4*s + 3*b = 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y. Suppose 3*f - 2*o - 12 = 0, -4*f = -6*o + o - 23. Let x(u) = 16*u - f*u + 39*u + 10*u. Calculate x(n(c)).\nAnswer: -126*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9336300\/9)\/(((-3)\/9)\/1). What is t rounded to the nearest ten thousand?\nAnswer: -3110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -10, -4*n + s + 1119 = 2*s. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*c = 23*c - 37 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 456788909?\nAnswer: 5003, 91303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 12 = o, 0 = w + 3*w + 5*o - 48. Let i be 7\/3 - 4\/w. Suppose 3 = i*z - 17. Solve -h = -5 + z for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 14 = -2*p, 0 = 2*p + 3*p + 2*i - 17. Suppose -4*j = a - 20, 5*a + p*j - 8 = 32. What is the tens digit of a\/(-14) - 736\/(-28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 315886, 315874, 315864, 315862, 315874?\n\"Answer: m**3 - 5*m**2 - 4*m + 315894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 43\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 665 + 637 = 25*i - 532 for i.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in 4, 3, 0.143, 1, 10\/9?\nAnswer: 0.143","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 2:53 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 22*u**2 + 2*u - 1. Let r be m(1). Suppose -2*q = -q - r. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 112 - 116. Which is the third biggest value? (a) x (b) -6 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k - 35180 = -35204 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5*(-8)\/(-20) - -2. Let m be 27\/5 - 2\/5. Does 5 divide 5*(2 + s\/m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**2 + 37*j + 76. Let l be q(-16). Put 184, 0, l in decreasing order.\nAnswer: 184, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 4:35 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-310 - 53)*(-1)\/(-18)*-4. Suppose 6 - g*v**3 + 374\/3*v**2 - 50*v = 0. What is v?\nAnswer: 3\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 629, 651, 687, 737, 801, 879?\n\"Answer: 7*j**2 + j + 621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54199*p + 4*i + 6 = -54202*p, -4*p - 7 = 5*i for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -39, -127, -291, -555, -943?\nAnswer: -1479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -139.3 from 15.\nAnswer: 154.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 9*t**2 - 4*t - 5. Let g(n) be the third derivative of n**5\/15 - n**4\/12 - n**3\/3 - n**2. Calculate 5*g(z) - 2*v(z).\nAnswer: 2*z**3 + 2*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 222*f = 226*f - 16. Factor 0 + 3\/2*n**2 + 1\/2*n**f - 3\/2*n**3 - 1\/2*n.\nAnswer: n*(n - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 12, -26, -132, -336, -668?\nAnswer: -1158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 291823.\nAnswer: 7, 47, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 3*a - 4 + 0 + a + 0 + (-4 + 2 - 2)*(-3*a + 4*a + a) as t*a + z and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 + 104. Let r be (26180\/s)\/(-1*1\/120). Round r to the nearest 1000.\nAnswer: -37000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1005464, -2010885, -3016266, -4021607, -5026908, -6032169?\n\"Answer: 20*u**2 - 1005481*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7635 + 12941. What are the prime factors of f?\nAnswer: 2, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from wwwwwwwqwwww?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/36 and 17\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 9*y**2 - 20*y + 24. Let p be g(-11). What is the thousands digit of (34\/p - 3)\/(40\/2980)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8136163 + -332385.\nAnswer: 7803778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -583967, -1167936, -1751905, -2335874?\nAnswer: -2919843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 10:31 AM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + (-1)\/1)\/(-1). Suppose 0*k + r*k - 18 = 0. Let f(o) = 94*o**2 + 12*o - 1. Let y be f(-1). Calculate the greatest common divisor of y and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 34*r + 110. Let y(j) = -37*j - 137. Calculate 5*m(p) + 4*y(p).\nAnswer: 22*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 744 - 85. Is 6 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33 by -3.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5*f + 52 + 71 = 0, 0 = 3*h - 4*f - 167. Suppose 3*v - h = -13. What is the greatest common factor of v and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (l**3 - l**3 + l**3)*(320 + 2*l - 4*l - 83) as i + m*l**4 + n*l**3 + c*l**2 + w*l and give n.\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 994545059?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1394, -9113, -30074, -70901, -138218, -238649, -378818, -565349?\nAnswer: -804866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 6*v**2 - 4*v - 2. Let q be s(5). Let b = -3 + q. Solve x + b = -4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 16. Suppose -1 = a + 3. Calculate the remainder when (-30)\/a*(-24)\/(-18) is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 7*h**2 + 7*h - 6. Let b(a) = -a + 13*a**2 + 14*a - 2 - 9. Let t = 19 + -13. Let p(x) = t*b(x) - 11*u(x). Factor p(k).\nAnswer: k*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 7:17 AM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a kilogram in grams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 10*m**2 - 8*m - 9. Let y be k(9). Suppose y = 4*f - 0*f - 12. Let r be 3*(-1)\/(-2)*2. Solve 3 = -f*s - r for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/4*0 - -2. Find the third derivative of g**4 - 3*g**2 + 3*g**z - 3*g**2 wrt g.\nAnswer: 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 6:14 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1181 is divided by 1168.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + 6*q. Let u(d) = -d + 1. Let z be u(-5). Suppose -z*a + 0 = -18. Suppose -3*c - 3 - a = -4*r, 5*c + 4*r + 42 = 0. Determine h(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 3*d = -18, 3*m + 5*d - 6 = 6*d. Let w = -3 + m. Suppose -2*n - z = z, 2*n - z = 9. Solve -a = x + 2 - 1, 3*a - n*x + 27 = w for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + y + 9 = 0, 9 = 3*i - 38*y + 35*y. Solve 2*r + 3*x - 2 = 0, i*r - 3 = 5*x - 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -1 (b) 5 (c) -5 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(3000))\/(sqrt(6) - (sqrt(540)\/sqrt(10) + sqrt(6))) - ((sqrt(405) - (sqrt(405) + 3*sqrt(405) + sqrt(405) + sqrt(405)) - sqrt(405))\/sqrt(9) + -3).\nAnswer: 3 + 44*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6 - (-1)\/(3\/(-6)). Solve 5 = -4*g + 3*v, 2*v - k + 2 = 4*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4907274121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.76419 and 118.783?\nAnswer: 116.01881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20994281 is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13265, 13255, 13245, 13235?\nAnswer: 13225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/13, 5, -2\/9, -71?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2b4b6811 - 5?\nAnswer: 2b4b680a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5187 - -4727.4. Let g = -459.52637 - y. Let v = -0.074 + g. Round v to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39107?\nAnswer: 39107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/(5915\/679)*(-5)\/(-18) and 21\/52.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -42315 + 2102305?\nAnswer: 2015550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 170\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qy when two letters picked without replacement from {q: 6, y: 11, n: 1}?\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 20969?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 438.8445 centimeters to nanometers.\nAnswer: 4388445000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 18, -0.7, -90, 1, 3, -2\/15?\nAnswer: -90","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 5*s - 7. Suppose 0*u - 5*o + 10 = 4*u, -5*u + 29 = -2*o. Let p be f(u). Let y be (2\/(-6))\/((-14)\/p). What is the second biggest value in -4, y, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q. Let f(x) be the second derivative of 3847*x**3\/6 - 81*x + 9. Determine f(l(i)).\nAnswer: 3847*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37 - 156 - 40)*(-25*x**3 + 4*x**3 - 7*x**3).\nAnswer: 6524*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -9*p**5 + 77064*p**4 - 164685420*p**3 - 1211712258*p**2 - 275778315*p + 771171450 = 0.\nAnswer: -7, -1, 2\/3, 4285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 439010 - 439010 - 200*r.\nAnswer: -200*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31\/302 + 805\/3926. What is the biggest value in 0, m, 0.1, -2\/3, -0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**2 + 13*y + 4. Let f be d(-6). Is 0 >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 268122 to the nearest integer?\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32*b**2*d**3 + 7*b**2*d**2 - 4*b*d**4*v + b*d**2*v + 52*b*v + 4*d**4*v wrt d?\nAnswer: 192*b**2 - 96*b*d*v + 96*d*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 25985*x**2 + 1009 - 1895 + 886 + (-x - x + 0*x)*(-4*x + 2*x + 4*x).\nAnswer: 25981*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 h when three letters picked without replacement from {h: 8, g: 5, y: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-610)\/(-175) + -5)*(-185)\/328. Let y = 1\/328 + k. Factor -y*u**2 + 3\/7*u**4 + 0*u + 0*u**3 + 3\/7.\nAnswer: 3*(u - 1)**2*(u + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -9*j**3 + 82*j**2 - 4*j - 21. Give i(9).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/3 + 682918*f\/3 - 682916\/3.\nAnswer: -2*(f - 341458)*(f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*k - 28*k - 200 = 0. Let v be (-20)\/k + 21\/(-15) + -2. Let q be (-3)\/(-1) + -2 + 2. Which is the smallest value? (a) v (b) q (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of 2*r**5\/15 + r**4\/4 - 10*r**2. Find the second derivative of f(s) wrt s.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 0*c - c - 9 + 47*c**2 + 9. Is 16 a factor of w(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1348808.\nAnswer: 2, 168601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -9, -4, -8, 1959?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -57 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n, 1 t, and 1 h when four letters picked without replacement from rjntjhnmhrhm?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.002 + -0.798. Let k = 0.5 + x. Which is the nearest to k? (a) 5 (b) -0.2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39701.6466 + -4371.21\nAnswer: 35330.4366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14641 + -131767\/9. What is the closest to -45.6 in 0.1, w, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of -1\/120*x**6 + 0 - 34*x**2 - 1\/6*x**4 + 3\/20*x**5 + 0*x - 7\/3*x**3. List the prime factors of q(6).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245854886 is divided by 4252?\nAnswer: 4246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2519 and 792.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 57733362089 from 5.\nAnswer: -57733362084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 8, 1\/160?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) - 2*sqrt(108)*-6 - 3*(sqrt(108) + sqrt(108)*1))\/(sqrt(9) + sqrt(27)\/(sqrt(12)\/sqrt(4)) - ((sqrt(99)*2)\/sqrt(11) + sqrt(9))))**2.\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2546547?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1 + (-2 + 4 + 1)*(-3 + 7 - 3))*(-1 - 3 + 0 + f).\nAnswer: 5*f - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 44\/3*t + 64 + 2\/3*t**2.\nAnswer: 2*(t + 6)*(t + 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -288*p + 292*p - 81 = -5*o, 3*p = 5*o - 88 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 48.\nAnswer: -5\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 38595 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -5*b - 12, -4*w + b = -0*b - 12. Let f be -5*((-4)\/5)\/1. Suppose 5*d + 0 = -4*i - 1, 5*i = 3*d + 8. Sort w, f, i in decreasing order.\nAnswer: f, w, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 518 divide 112791963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1\/16 + 15795\/(-3888)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 102 + 1319. Let l = t + -834. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - 2*p - 31. Let b = 0 + -7. Let k be n(b). Calculate the remainder when 19 is divided by 3\/9*k - 1\/(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 26 - ((-51)\/(-34))\/((-1)\/(-2)). Suppose -v*c + 44 = -c. What is the lowest common multiple of c and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 41331*l*r - 25859*l with respect to r.\nAnswer: 41331*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 12:58 AM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 5*t - 13. Suppose 3*r - 1 = -22. Let l be m(r). Suppose -o = -0*o + l. Are o and -3\/2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) -2\/21 (b) 2 (c) 0.4 (d) 3\/5 (e) -8 (f) -25\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(5) + -2 + -3)*-2.\nAnswer: -2*sqrt(5) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 4, x: 16}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/2 (b) -0.3 (c) 1\/2 (d) 55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 285 = 4*j, 0 = -q + 4*j - 18 + 59. Let b = 112 + -90. What is the remainder when q is divided by b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 9, -3*i + 2*i = 5*m - 3. Suppose m = 2*w - 6 - 8. What is the highest common factor of 35 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -64546*a**4 - 274741*a.\nAnswer: -774552*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3502 + 3501.9. Is -73\/35 at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from fefffe.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -322 or -660?\nAnswer: -322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 8*r + 39. Let c(y) = 140298*y. Determine k(c(i)).\nAnswer: 1122384*i + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*g - 158*g = 20*g + 303 + 422 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1641 less than -0.5?\nAnswer: -0.3359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4156192141 to the power of 1\/2, to the nearest integer?\nAnswer: 64469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -26297.47398 rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wgjg when four letters picked without replacement from {j: 8, w: 1, g: 8}?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 37126819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of -971*k**4\/24 + 1853*k**3\/6 - 25*k**2 + 33. What is the first derivative of l(z) wrt z?\nAnswer: -971","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*s + 226 - 226)*(2*s**3 - s**3 - 3*s**3 - 1) - 3*s + 6 + 3*s - s**4 - 2*s**3.\nAnswer: -59*s**4 - 2*s**3 - 29*s + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 2*k - 20. Suppose 3*i + k*g - 26 = 0, -2*i + 0*i + g = 0. Let v = 5561 + -5559. Which is the closest to v? (a) 2\/11 (b) i (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 18\/5 of a week?\nAnswer: 36288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 33*t**3 - 13*t**3 - 15*t**3 - t**2 - t**3 + 2*t**3 + 0*t**3 + (-2*t**2 - 2*t**2 + 3*t**2)*(4*t - 4*t - 2*t).\nAnswer: 8*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**4\/7 + 26986*y**3\/7 + 13892266*y**2 + 5884213538*y.\nAnswer: 2*y*(y + 487)*(y + 6503)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t - 43 + 7*t + 39 + 4.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 35419.87 centuries?\nAnswer: 354198.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25*r**3 - 1 + 4*r**4 + 25*r**3 + 5 - 2*r**4 - 5 + (-2*r**3 + r**3 + 0*r**3)*(-5 + 5 + 3*r) + (-1 + 1 - 2*r)*(-14*r**3 - 1552*r + 1552*r).\nAnswer: 27*r**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (8 + -7)) + 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3192 = 2667*y - 2653*y. Are -221 and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.579 - 0.021. Let x = -6.77 - u. Put -0.4, -3, -1, x in descending order.\nAnswer: x, -0.4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -388, -3.\nAnswer: -388, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1634?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -8650 divided by -865?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/(-198)*210\/(-56).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*b = -5*g + 29 - 99, -3*b = 4*g + 12679 - 12706 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 274944, 548844, 822744, 1096644, 1370544?\nAnswer: 1644444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2 - s**2 + 7*s + 2 - 7. Suppose 37 = 158*w - 308 - 129. Let d be g(w). Solve -5*l + d = -0*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15711 - -15708. Sort f, 5, -5, 1.\nAnswer: -5, f, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -3. Let v = c + -1. What is the third biggest value in v, 1, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 h when four letters picked without replacement from wwwwwhwwhh.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -14*q + 25. Let b(n) = -2*n. Determine b(i(z)).\nAnswer: 28*z - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -7939*w**2 + 6*w - 4006. Let v(z) = 7931*z**2 - 4*z + 4005. Let m(i) = -2*r(i) - 3*v(i). Find the first derivative of m(c) wrt c.\nAnswer: -15830*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 57 or 7\/2?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.02 + -0.02. Let w = d - 0.5. What is the third biggest value in w, 0, -1\/4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 22355 = -5*c, -4*c + 4080 = w - 7102. What is the thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 35 = -f - 11, 5*f + r = 63. Solve 0 = f*o + 57 - 9 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -35*b**3 - 2*b**2 - 3*b - 3. Let c(f) = f**3 - f**2 - f - 1. Calculate -6*c(v) + 2*z(v).\nAnswer: -76*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-30)*2)\/(4\/9)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 451 divide 202499?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + b = -31 - 53, -5*u + 420 = 4*b. Let x(v) = -13*v - u*v + 25*v. Let f(h) = 8*h. Determine 28*f(l) + 3*x(l).\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 11*h**2 + 14. Suppose -41 = 5*g + 14. Let o be r(g). Suppose 4*b = 14 + o. Let p(q) = q**2 - 6*q - 1. What is p(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*l = -77*l - 756. Is 18 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*q**3 + 11*q + 57 wrt q?\nAnswer: -12*q**2 + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 11:28 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114269317 is divided by 95?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of o**6\/200 - 2*o**5\/75 + 7*o**4\/120 - o**3\/15 + o**2 + o. Let i(k) be the first derivative of f(k). Factor i(s).\nAnswer: (s - 1)**2*(3*s - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -58 + 98. Calculate the remainder when (-3)\/24 - (-125)\/c is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 451*x + 5. Let l be h(1). Suppose -13*g + l = -9*g. Let q = g - -46. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -192*i**2 + 2880*i + 8. Determine o(15).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49042.11 millimeters to nanometers.\nAnswer: 49042110000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252*d = 2331 + 441 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73267137?\nAnswer: 3, 29, 280717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20010102 + -1022?\nAnswer: 20002010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2 + 152*r - 1430.\nAnswer: -2*(r - 65)*(r - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 17. Let q be (s + 162)*(-5130 + 5). What is q rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 924 and 12012?\nAnswer: 12012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 17*v - 36. Let z be q(15). Let d be z*8*3\/(-9). Suppose d = -27*y + 29*y. Solve 2*w - 4*w + y = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 6:45 PM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ittinninninnnnnt. Give prob of picking 2 i and 1 t.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2309191548 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 value of 0 - (-1 - -4) - -2 - 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.8 + -2.8. Which is the nearest to p? (a) 6 (b) -0.1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -18647*z - 6451862. What is t(-346)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -5*v**2 - 9*v - 12. Let j(s) = s**2 - s + 1. What is -6*j(k) - p(k)?\nAnswer: -k**2 + 15*k + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 36426436*c**2*l**3 - 15891*c**2*l + 97*c*l**2 wrt l.\nAnswer: 218558616*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of 0*u + 4\/105*u**7 + 0 - 7*u**2 + 0*u**4 + 0*u**6 + 0*u**5 - 2\/3*u**3. Find the first derivative of s(n) wrt n.\nAnswer: 32*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 15 = -4*l, -5*z + l = -27 + 7. Let b(s) = -4*s - z + 3 + 3*s. Let q = -1078 - -1071. Calculate b(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80 and 2040.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1220.7694 and -2.\nAnswer: -2441.5388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -17\/2 (b) -41\/5 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (128\/(-504)*33\/(-88))\/((-624)\/144)?\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 848*h*o + 2*h - 292 wrt o?\nAnswer: 848*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 - 27.4. Which is the closest to 1? (a) u (b) 0.1 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c**2 + 544*c - 180 = 0.\nAnswer: 1\/3, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 3*n + 18. Let i be (3 + 96\/9)\/((-17)\/(-55 + 4)). Suppose -i + 14 = -n*w. Put -1\/5, -3, w, -4 in decreasing order.\nAnswer: w, -1\/5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -5*t**2 + t - 1. Suppose -19*l - 44 = -63*l. What is m(l)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 11.2. Let k = -1 + z. Let p = 13 - 10. Which is the second biggest value? (a) 1\/9 (b) k (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 286 a factor of 29744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-972)\/(-486))\/((-2)\/19).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - -29. What is the highest common divisor of 4 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2959783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(1\/7)*m*m**(-3\/5))\/(m**1*m\/((m\/(m*m*m**(-2)*m))\/m)))\/(((m*m**4)\/m**0)\/((m\/m**4)\/m*m\/(m\/((m\/m**3*m)\/m)*m))) assuming m is positive.\nAnswer: m**(-471\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2090 a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -2, 2\/15, 4, 162, 1\/2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 + -0.1. Let u = -10 + 7. Suppose 109 = 78*k - 188 + 63. Which is the closest to o? (a) u (b) 4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1\/8, 5, -3, -2, -7, 1\/77, 165?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.57 + 56.\nAnswer: 55.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 59\/6 + (-6)\/(-36). Suppose 2*v - l + 0 = 0. Let x = 8.96 + -9. Which is the second biggest value? (a) x (b) 3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000081808038 to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 PM and 11:26 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 482, 506, 462, 350, 170?\n\"Answer: -34*d**2 + 126*d + 390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -21382 divided by 9\nAnswer: -21382\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -4*r - 17. Let s be x(-5). Let l = -26 + 30. Solve 7*m = s*m + l for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3130121 (base 4) to base 11.\nAnswer: -a663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*u**3 + 897326*u**2 - 7*u + 45685236 wrt u.\nAnswer: 6*u**2 + 1794652*u - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18\/1*(-10)\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of a**6\/60 + 7*a**5\/60 - 5*a**4\/24 - 2*a**3\/3 - 20*a**2 - 1. Let n be f(-4). Let y(q) = -q - 1. What is y(n)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of k**5\/20 + 4*k**4\/3 - k**3\/2 - 27*k**2\/2 + 31*k - 2. Let a be q(-16). Solve 4*s + 23 = -0*u - 3*u, -3*s = 3*u + a for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 774668.1 micrometers in meters?\nAnswer: 0.7746681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1811*q - 112 = 1851*q + 88 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -24*f. Let v(r) = -2*r**2. Give v(b(d)).\nAnswer: -1152*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-27))\/(325\/2925).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13.3 - -1.3. Let v = 21 + a. Let r = 5 - v. What is the closest to -1 in r, 0.2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 7*n - 6*n**2 + 4*n - 3*n + n**3 + 110 - 107. Let l be g(7). Find p such that 27*p - 29*p + 3*p**2 - 34*p + l = 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13047*o**4*p**2 + 7*o**3*p**2 - 2*p**2 - 2820*p - 3 wrt o.\nAnswer: 52188*o**3*p**2 + 21*o**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l + 9. Give h(8).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 3*k = -13, -1355*u + 5*k + 5 = -1360*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of z**3\/2 + 9*z**2\/2 - 2*z. Let k be q(-7). Let i be (2 - 25) + k\/4. Round i to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/27257 and -47\/11421807.\nAnswer: 1107915279","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) -2 (c) 2\/3 (d) -1.76 (e) -0.04\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/55 and 93\/14172350?\nAnswer: 155895850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.714 and -15.6349.\nAnswer: -11.1633186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637)*-1 + -3 - 2*(sqrt(637) + -1))**2 + (sqrt(832) + (sqrt(832) + -1 - sqrt(832)) - sqrt(832) - sqrt(13))**2 + 2*(sqrt(13) + 2).\nAnswer: 46*sqrt(13) + 5752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q - 1. Let u(w) = -104*w + 10. Calculate -8*k(x) - u(x).\nAnswer: 96*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-255)\/6*12\/(-15). Let t = p - 20. Suppose -4*a - 4*k + 52 = 0, 3*a - 2*k - t = 5. What is the remainder when a is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 0*a = a. Suppose z = 3*o - a*z - 5, 4*o + 5 = -z. Solve -h - 2*u + 2 = -0*u, -4*h + 5*u - 18 = o for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4183.857 minutes to nanoseconds.\nAnswer: 251031420000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7570 * -113.\nAnswer: -855410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1554183 divided by 2?\nAnswer: 1554183\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -1, -582766, 1, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1400)\/25 - 12\/(-30)*(-4 - 21)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-6)*g)**19*(g\/(g**10*g*g))\/(g\/(g\/g**(-15))))**(-2) assuming g is positive.\nAnswer: g**182","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -383697+-761\nAnswer: -384458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, c: 6, i: 7}. What is prob of sequence cic?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((15\/40)\/(-3)*8\/(-4)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -4*w**2 + 36*w - 29. Let x be t(8). Suppose -x*i = -12*o + 17*o - 5637, 5*i - 20 = 0. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53210921*0.5.\nAnswer: 26605460.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 897*d - 2500 = -501*d + 148*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-14)*z\/(z\/(z**(-6)\/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 is the hundreds digit of 476212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 9:06 AM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -4398 != 0.3176?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -2 + (-12 + (-6 - -12) - -10) + -34.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-246)\/(-287))\/((1 + 1)\/(-14)). What are the prime factors of 3494\/14 - j\/14?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(1\/4)\/(5*14\/(-8680))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -128*j**6 - 269*j**5 - 10556*j**2?\nAnswer: -15360*j**3 - 16140*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/7 - 2*z**2\/7 - 9*z\/7 + 18\/7.\nAnswer: (z - 3)*(z - 2)*(z + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j**3 - j**3 + 0*j**3 + (3*j - 3*j - 2*j**3)*(-1 - 2 + 1) + 2 - 2 - 2*j**3 + j + j**3 - j + (-j - 4*j - 5*j)*(-7*j**2 - 13*j**2 + 3*j**2).\nAnswer: 176*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 3*p - 14 = 0, 5*m + 3*p = p - 24 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1367*z + 11004 = -385*z - 720*z for z.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 52, 94, 136, 178, 220, 262?\n\"Answer: 42*h + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*v**2 + 38*v**2 - 96*v**2 + 35*v**2.\nAnswer: 11*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = 4*v + 2*j - 5, 10*j + 96 = 4*v. Let d(l) be the second derivative of l**3\/6 + 2*l**2 + l. Calculate d(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 675 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -2 - 7 - -8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 196*u - 40*u - 6376 + 1072. Solve 39*o - 15 = u*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 794 divided by 10.\nAnswer: 397\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11960 and 5512.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14323.\nAnswer: 14323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -15 + 12140?\nAnswer: 1212b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1436, 2, -2, 1, 40 in decreasing order.\nAnswer: 40, 2, 1, -2, -1436","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**10*v*v*v**12 assuming v is positive.\nAnswer: v**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(4 + (5*2*(0 + sqrt(1900)) - (2*(1 + sqrt(1900)) - 5*sqrt(1900)*-1))) + -4)**2.\nAnswer: 1800*sqrt(19) + 427536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3294 or -3288?\nAnswer: -3288","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 4*u - 19. Let z = u + -15. Let d = 6 + -9. Which is the second biggest value? (a) z (b) -0.2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 4*p**2 + 468*p + 1849. Calculate the remainder when 9142 is divided by d(-4).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*f**3 + 10797286*f**2 + 96540020 wrt f?\nAnswer: 15*f**2 + 21594572*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -875 rounded to the nearest ten?\nAnswer: -880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24596?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 49528.80333 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - 1 - (-8)\/(-2). Let z be (-1)\/g*760\/1. Suppose 0 = p + 3*p - z. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89278616 divided by -2.\nAnswer: 44639308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*v**3 + 2*v**3 + 2*v**3)*(17 - 4 - 4) to the form d + t*v**2 + r*v + x*v**3 and give x.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/3? (a) 0.2 (b) 0.01 (c) 22 (d) -7\/5 (e) 33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.132804 millennia in years?\nAnswer: 8132.804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 32\/5 of a centimeter?\nAnswer: 64000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -2*n - 2*n + 9342, -4*y - 4686 = -2*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 228 = -5*h, j - 5*h - 138 = 6. What is the highest common divisor of 10478 and j?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + 3*n - 5. Let i be b(5). Let t = -7611 + 7616. Let r = i + t. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 0.1. Let k = 120 + -122. Sort -2\/7, l, k.\nAnswer: k, -2\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9180 - -9180. Let x = -22 + 27. Solve -r + 2*r - 4*p - 12 = n, 0 = x*r - 4*p + 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (374\/55)\/((-1)\/(-10)). Let q = 120 - k. Does 13 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) + sqrt(136)*-3)*1*-4)\/(sqrt(1152) - (sqrt(1152) + 6*(sqrt(1152) + sqrt(1152)*-4))).\nAnswer: sqrt(17)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 63 and -8382.\nAnswer: -528066","meta":{"dup_signals":{},"source":"arithmetic__mul_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: What is the millions digit of 18322473?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -21 - 6*(-1)\/8*4. Let q(p) = -p**2 - 36*p. Is 4 a factor of q(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -78238*l**5 - 25*l**3 - 16839573*l**2.\nAnswer: -4694280*l**2 - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1320 + -485. Let v = g - 834.7. Let h be (1 + 21\/(-20))*-2. Which is the third smallest value? (a) v (b) h (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-41)\/164)\/(0 + 1). Let w be 0 - 0 - (-2 + 1). Is i >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 176196?\nAnswer: 176196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2941 + 2463. Is 17 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*p**3 - 13*p**3 - 22*p**3 + 45*p**3.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -26? (a) 1 (b) 71 (c) -0.2 (d) -5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 3 - (-14 + (-520)\/(-28)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150619?\nAnswer: 7, 21517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1363 - 2*v + 0*v**2 - 2*v**2 + 1365 - 2*v**4 + 5*v**3 to the form n*v**2 + x*v**4 + j*v**3 + a*v + w and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1195 - 0.0805. Which is bigger: n or -83?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in -5, 2.4, -2\/13, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 19 - 135*k**2.\nAnswer: -135*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 1394158.\nAnswer: -2\/697079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.85 * -0.06\nAnswer: -0.051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (45896\/(-12))\/(4\/(-6)) - 4. Let j = 814 + z. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (30 + -1 + -17)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(4*(-4)\/8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(3\/(-6)*-4). Suppose d + 0*d = w. Suppose d = 3*i - 14 - 43. Is i a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -x**2*z**3 + 2*x**2*z**2 - 6*x**2*z - 256*x**2 + 12*x*z + 33618*z**3 - z wrt z.\nAnswer: -6*x**2*z + 4*x**2 + 201708*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 659732 and 65228.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1253630 is divided by 417456?\nAnswer: 1262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 77*o**3 - 9*o**2 + 104*o - 41. Is a(13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z*z**0)\/z))**40\/(z**(2\/9))**(-4\/9))\/((z**7*z*z*z**(3\/2))\/(z**(-1\/4))**(-41)) assuming z is positive.\nAnswer: z**(12911\/324)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 - 2*t. Let a be c(2). Suppose -n = -a*n + 1. Which is smaller: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(5 + ((sqrt(220) - 2*sqrt(220))*5 - sqrt(220))\/(sqrt(55)\/(sqrt(5)*-1) - sqrt(11)) + -4)*-3)**2.\nAnswer: 972*sqrt(5) + 14661","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13332.\nAnswer: 2, 3, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8862 divided by -4431?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2 + 7*a**2 + 5*a - 8*a**2 - 13*a**2 + 7 - 9. What is p(1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3696 and 16463328?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 786080.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + 10*x**2 + 9*x + 7. Suppose h = 5*u + 2*h + 40, u = 4*h - 29. Let a be b(u). Differentiate -15*d + 18 - 8 + a*d wrt d.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/189 and 89\/588.\nAnswer: 5292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(3\/(-18) + 20\/75)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 5*s**2 + 15*s - 515. Calculate x(11).\nAnswer: 255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2632? (a) -1 (b) -0.2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/3*215\/43*(-18)\/1680. What is the nearest to -3\/11 in 2\/13, -3\/5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22856819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 12 = -3. Suppose h = -f*h + 12. Let i be h\/(-18) - (-93)\/18. Which is greater: i or 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*n + 923 + 2017 = 0 for n.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 4:24 AM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 57649831 to the nearest integer?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 1:01 AM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1782\/(-8) + -10 + 4. Let n = x - -229. Determine z, given that n - 1\/4*z**4 + 1\/2*z - 1\/2*z**3 + 0*z**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, k: 7, j: 4}. What is prob of picking 3 x and 1 k?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45 + 21. Does 6 divide (1 - (-1 - -3))*r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2*((3 + sqrt(2057) + 1)*-4 + 4))**2.\nAnswer: 4928*sqrt(17) + 132432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 8.9. Let p = 2476 + -2483. Which is the nearest to p? (a) m (b) -3\/5 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27097 - 14980. What are the prime factors of v?\nAnswer: 3, 7, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.084 in -2, 1, -0.06, -4\/7?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c - 262 + 102382*c**2 - 51189*c**2 - 51194*c**2 to o*c + v*c**2 + d and give d.\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -106 - 108. Let p = 0.2121 - -203.6879. Let v = k + p. What is v rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 0. Let y = 35 - 32. Solve -y*f + 8*f - 5 = q for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -5*q**3 + 10*q**2 + q. Let c(n) = 4*n**3 - 9*n**2 - n. Suppose 0 = -4*g + 4 + 16. Let f(m) = g*r(m) + 6*c(m). Calculate f(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 11:03 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 2)*(2*f**4 + 0*f**4 + 0*f**4) - 58514*f**2 - 187*f**4 + 58514*f**2 + (-3*f**3 + 5*f**3 - 3*f**3)*(-f - f + f).\nAnswer: -188*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 161867\/22 - 7346. Let g = -9057\/770 + o. Is g equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -109*o**3 + 549*o**2 - 653*o + 3250. What is a(5)?\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9e6 - 62?\nAnswer: 984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100 and 625?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15228 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2 + 4 - 3 + 0 + 0 + 2 + 0 + (1 + 2 - 5)*(-3 - 1 + 2) + 2 + 3 - 3 - 2 + 3 - 2)*(-i + 13*i - i)*(4*i**2 + 8*i**2 - 4*i**2).\nAnswer: 880*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x**3 - 3*x**2 - 5*x + 6. Let z(n) = n**3 - n**2 + n + 1. Let m(y) = t(y) + 3*z(y). Let i = -20 - -26. Give m(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 307*y**3 - 2*y**2 - 1. Let l be a(-2). Let k be (-4)\/(-18) - l\/(-2250). Let r = k + 1\/25. Sort 2, -0.2, r.\nAnswer: r, -0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*2\/2*-6*9\/324?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = 4*k - 2*d - 13, k - 8 = -4*d for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-8)\/(-132))*(-9)\/27?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 18 - 5 = -4*a, -7 = -a + r for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1085555 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 6.6 (c) -2\/43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3099 and -4277.\nAnswer: -4277.3099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 53*c**2 + 52*c - 237. Is j(-42) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -74891, -149728, -224565?\n\"Answer: -74837*f - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 l when three letters picked without replacement from {l: 10, f: 10}.\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - 1 - ((-23 - -7) + 36 + -37 + 19)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 12 = -5*c. Let g be (-7)\/21 + (-1)\/c. Let y be (12\/11 - g)\/(-2). Which is bigger: -1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -322 + 229. Let t = -83 - v. Calculate the smallest common multiple of t and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 189133561 to the nearest integer?\nAnswer: 574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 8 = 4*a, 2*a + 5*d - 15 - 11 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 5*a - 1. Let r(h) = -7*h - 2*h + 0 + 2. Let f be 3*(-3 - (0 - 1)). Determine f*r(j) - 11*q(j).\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -2. Suppose l + 5*r = -0*l + 28, -r = -2*l + g. Let a = l - -11. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w - 12. Let o be q(-10). Let k be 1 + (o - 1)\/(-3). Solve -2*x = -2*u + k, u + 1 = 5*x - 10 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1406.\nAnswer: 2, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -1 + (5 - 2) + -4 + 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 23, 35, 43, 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1662 to 2 dps.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of z**6\/420 - z**5\/210 - z**4\/84 + z**3\/21 - z**2. Solve m(q) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -28. Suppose 3*h - 98 = -5*d + 4*h, 3*h + 34 = 2*d. Let x = d - y. Does 20 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89, 208, 405, 680?\nAnswer: 1033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -167\/2 - -83. What is the closest to a in 3\/4, -0.093, -1, 2?\nAnswer: -0.093","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -229*g - 5453 = -554*g + 93*g + 99*g for g.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of 8*l**5\/35 + 4*l**4\/7 - 3*l**3 + 27*l**2\/7 - 17*l + 2. Factor v(y).\nAnswer: 2*(y + 3)*(4*y - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -4*g**2. Let k(j) = -2*j**2 + 9*j. What is k(h(b))?\nAnswer: -32*b**4 - 36*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*g**4 - 8*g**3 - 9*g**2 - 59*g + 5.\nAnswer: 48*g**2 - 48*g - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54998 is divided by 110?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/152 and -13\/688.\nAnswer: 13072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1110 divided by 3\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 0 + 139*f**2 - 1 + 1 in the form a + x*f**2 + g*f and give x.\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 24 = 4*x, 2*l - 3 - 34 = -5*x. Let m be (x\/(-6))\/(522\/(-168) + 3). Solve -4*d - 18 + m = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32600 rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -3, -27\/4, 0.2, -7, -6\/37, -2\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 1:02 PM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 106 - 35*l - 50 - 48 to the form k*l + q and give k.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 253, -5, -2 in ascending order.\nAnswer: -5, -2, 5, 253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/17, -3\/4, -0.3, 3, 3\/8, 4 in decreasing order.\nAnswer: 4, 3, 3\/8, 2\/17, -0.3, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 26 = 18, -5*x + 2*b + 17 = 0. Let w = 8.3 + -8. What is the biggest value in -0.4, w, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 + 6*x**2 - 3*x**2)*(4*x + x - 4*x)*(8 - 5*x - 8 + (4 - 4 + 6)*(0*x - 2*x + 0*x)).\nAnswer: -34*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*o = 78*o + 1732. Let x = -35 - o. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of n**3\/6 - n**2 + 4*n. Give c(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156)*-3*-4 - sqrt(156))\/sqrt(12) + 5 + (0 + sqrt(832) - sqrt(832)) + sqrt(832))**2.\nAnswer: 190*sqrt(13) + 4718","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 1:39 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 105, 422, 955, 1704, 2669, 3850?\nAnswer: 5247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 27\/(-9) - ((-70)\/(-4))\/(-5)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -521*b + 4457 = -6484 for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.32579 and -1114.\nAnswer: 362.93006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - j = 3*d - 24, -2*d + 16 = -5*j. Suppose 4*x + d = -4. Let a = -11677.3 + 11677. What is the third smallest value in 2, 0, a, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u + 0*u + 0*u - 3*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -2 (b) 1\/4 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 3*g**2)*(-2*g**2 + g**2 + 2*g**2).\nAnswer: -3*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -652081 > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*u = 3, -2*u = 5*m + 11 - 16. Which is smaller: m or -7\/183?\nAnswer: -7\/183","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -143, -264, -375, -470, -543, -588, -599, -570?\nAnswer: -495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 8*b + 8. Let w(m) = 9*m + 338. Let h(y) = 19*y + 841. Let l(v) = -2*h(v) + 5*w(v). Determine 3*l(c) - 2*q(c).\nAnswer: 5*c + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 37*c - 3. Calculate the remainder when y(2) is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 23904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -733.2 - -733. What is the second smallest value in 0.02, 0, a, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 156, 157, 156, 153, 148, 141?\n\"Answer: -q**2 + 4*q + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.08 + 25.08. Let i = -27 + r. What is the closest to i in -6, -1\/4, 3\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*v - 9*b + 11*b + 47 = 0, 0 = -v - 3*b - 47 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -2. Let u = -3 - d. Let c(q) = -6*q**2 - 77*q + 13. Let f be c(-13). Solve 5*g + 2*x = 30, 2*x + u = 4*g - f for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 6*a + 4. Determine b(6).\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2\/5, -2, -3, -6, 50, -0.37?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6650?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y**2 - 3*y - 3120. Let d(o) = o. Calculate d(h(c)).\nAnswer: -3*c**2 - 3*c - 3120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -t**6\/24 + t**5 - 25*t**4\/4 + 681*t. Factor a(h).\nAnswer: -5*h**2*(h - 10)*(h - 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 16*x**2. Let i(p) = 10*p. Determine v(i(a)).\nAnswer: 1600*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2*3*1\/10 and 63\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -28, 5, 26\/5, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -3*w**2 - 4*w + 4. Suppose -6*g - 31 + 1 = 0. Let r(k) = 2*k**2 + 5*k - 5. Determine g*x(c) - 4*r(c).\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2303 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 41390, 165900, 373516, 664238, 1038066?\n\"Answer: 41553*q**2 - 149*q - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.15 - -0.6. Let t = -0.483 - -0.233. Let p = t + y. Which is bigger: -0.9 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 62679582 and 9765.\nAnswer: 1953","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = -0*v - 6*v. Let b be (v\/(-42))\/(1\/(-12)). Let j(w) = -4*w**2 + 2 + 6*w - 4*w**2 + 12*w**2 - 3*w**2. Determine j(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2215 or 2214?\nAnswer: 2214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -83667922 - 220809078. What is b rounded to the nearest 1000000?\nAnswer: -304000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 831.7437nm to meters.\nAnswer: 0.0000008317437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -5*u**4\/4 + u**3\/3 - u**2\/2 - 5*u - 3839. Let r(c) = c**3 + c**2 - c - 1. Determine -r(x) + t(x).\nAnswer: -6*x**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 47 and 58123678.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-10)*(-32)\/(-48).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 56*f. Let v(g) = 330*g - 75*g - 273*g. Calculate v(r(w)).\nAnswer: -1008*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 482733.2ml to litres.\nAnswer: 482.7332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 4*w - 52, 5*w = -4*h - 15 + 62. Let u be (2 - h)*(-276)\/(-8). Let n = u + 292. Does 17 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 38 = 418. Suppose -141*q + 138*q = -537. Let b = q + y. List the prime factors of b.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z + 32. Let f(l) = -l + 8. Let s(q) = 4*f(q) - v(q). Let x(j) = 2*j**2 - 3. Let i be x(3). Let m(b) = 19 - 19 + i*b. Calculate m(s(a)).\nAnswer: -30*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1406 + -1403. Suppose -4*s - 20 = 0, -2*s + l*s + 85 = 4*p. Suppose -5*b = -b - 120. Calculate the smallest common multiple of p and b.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 5*q + q)*(49 + 64 - 131)*(2*q**3 - 2*q**3 + 3*q**3).\nAnswer: 162*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 258320 and 216.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 763 is divided by 78.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l = 14*l - 5*l + 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28*b**3*r - 465341*b**3 - 6551*b**2*r + 2*b**2 + 1029*b*r wrt b.\nAnswer: 168*r - 2792046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4769 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -115. Suppose -5*w + u = 167. Let p be 0 - (24\/20)\/(w\/40). Let g(s) = -2*s. Determine g(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 1:14 AM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ubh when three letters picked without replacement from bhghruq.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 4*m**2 - 3*m - 12. Let g be x(5). Let z(i) = -2*i. Let j(y) = -y. Suppose -14 = -3*t + 4. Suppose -3*h + t = -9. What is g*z(f) + h*j(f)?\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 4*c - 257, -i = 5*c + i - 318. Factor -c*t - t**3 + 64*t.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-888)\/(-21) + (-4)\/14. Suppose 2*w - n - 24 = 0. Suppose 0 = 2*a - 37 - w. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v - 3*v - 12*v**2 - 3*v.\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -3*i + 15, -z - 5 = -3*z - i. Suppose b + z*h + 7 = -3*h, -h + 3 = -b. Let d(l) be the first derivative of l**2\/2 + 2. Give d(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -605*(-44)\/6050 - (-2688)\/30\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, 123, 184, 243?\nAnswer: 300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10000 and 5000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -511*v**2\/2 + 1164*v + 207. What is the first derivative of x(z) wrt z?\nAnswer: -511","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*p + 17*p + 9*p + 19*p + 29*p + 21*p + 10*p.\nAnswer: 27*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + (4 - 9) + (-84)\/(-18). Factor t*i**2 + 2\/3 - 4\/3*i.\nAnswer: 2*(i - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 472*s - 217*s - 107355 = 0. What is the remainder when s is divided by 314?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sis when three letters picked without replacement from {i: 8, s: 3}.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21) + sqrt(21) + sqrt(1344)*-2)*1)\/(sqrt(24)\/(sqrt(32)\/sqrt(4)) - sqrt(270)\/sqrt(10)).\nAnswer: 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4\/3 + 26*s**3 - 407*s**2\/3 + 220*s - 332\/3.\nAnswer: (s - 2)**2*(s - 1)*(s + 83)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 2*n - 6*n, 5*m = -3*n - 17. Suppose d = n + 3. Let k = 30.8 + -32.8. Sort k, 1, d in ascending order.\nAnswer: k, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1)\/6)\/(4\/756*-6) and 4 + -2 + (-26)\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4499 - 4499 - 22*h**2.\nAnswer: -22*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a**4\/4 + 672631*a**3\/2 - 960907*a**2\/4 - 192181*a\/2 = 0. What is a?\nAnswer: -192181, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -452?\nAnswer: -450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 163767, 163770, 163773?\nAnswer: 163776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/54576 and -11\/702666.\nAnswer: 5621328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, y: 2}. Give prob of picking 2 a and 1 y.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h + 4. Let s be g(2). Suppose s = 3*m - m + 22. Let z(f) = -f**3 + 2*f**2 + 2*f. Let u(x) = -6*x**3 + 11*x**2 + 11*x. Determine m*z(q) + 2*u(q).\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 5*b = -12 - 87, -5*b = 15. Suppose 4*q - a = 11. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3616115*x**4 + 3227215*x wrt x.\nAnswer: -43393380*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5*o + 5 = 20, -12 = 4*o. Suppose y = -128*w + 123*w + 95785. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*d + 3*c, 0 = 4*c - 2 - 14. Let h be (2 + 0 - 1)*3. Sort 4, h, d in ascending order.\nAnswer: d, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17145, -34482, -52035, -69792, -87741, -105870, -124167, -142620?\nAnswer: -161217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -491500 to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 - 116. Let y(b) = -2*b. Calculate l(y(u)).\nAnswer: 4*u**2 - 116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 473431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 25, -d = d + 5*b - 68943717. Suppose d = 9*l + 88561846. Round l to the nearest one hundred thousand.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of (21\/(-4))\/(12\/(-32))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6c7 - 4?\nAnswer: 6c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a day in minutes?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -50.6401 - 0.3599. Let k = -91167076 + 91167126.999891. Let p = z + k. Round p to 5 dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, a: 8}. Give prob of picking 2 a and 2 e.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 122 = -759*k + 754*k, -36*u - 114 = 5*k - 20*u - 19*u for k.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21054295?\nAnswer: 5, 37, 73, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 18*k**2 - 6*k - 2. Let r(m) = -m**2 - 2. Let z(g) = f(g) - 4*r(g). List the prime factors of z(-4).\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 2:25 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/15))**(-1\/57) assuming c is positive.\nAnswer: c**(-2\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -160176 (base 8) in base 5?\nAnswer: -3314340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 14 - 5. Let x = v - -13. Let m be (-4)\/(-3)*(-1 + 4). Solve -m*c + x + 4 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 1) + 2 - (0 + -7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13025431927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-1 - -1) - (-4 - -9)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(176) + sqrt(176) + sqrt(176) + 3 - sqrt(176).\nAnswer: 2 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 4*d - 5. Suppose -5*u = -3*h + 16, -5*u + 10 = -10. Suppose -8*a = -52 + h. What is t(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 58093 and 3?\nAnswer: 174279","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.10151 - 9.59849. Let u = -62027.520006 + 62017.82. Let v = h - u. What is v rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -18 - (3\/1 + -1). Let f(t) = 6*t**2 + 5*t. Let p(j) = -j**2 - j. Let r(y) = x*p(y) - 4*f(y). Determine r(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0003859 and -786.\nAnswer: -786.0003859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 0.2, 103 in increasing order.\nAnswer: 0.2, 12, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -10*u - 9. Determine f(8).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1167, 4665, 10479, 18597, 29007?\nAnswer: 41697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31*86\/(-1333)*(-3)\/(9\/2)*-15.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4561*b - 1898*b - 2268*b to x + h*b and give h.\nAnswer: 395","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a decade in months?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (91\/273)\/(2\/(-5)*(-150)\/36)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -54 + 54.3. What is the biggest value in 0.5, 0.8, j?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(24\/18)*(-32)\/(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 4*l + 72 = 0. Let h = 34 + l. Calculate the least common multiple of h and 3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3172362 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((1 + -376)\/(-5))\/1. What is the highest common divisor of 60 and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 413, 475, 523, 551, 553, 523, 455?\nAnswer: 343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1008, -2003, -2998, -3993?\nAnswer: -4988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 152071740 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -5*b - 3. Let h(t) = 5*t + 2. Let a(k) = 3*h(k) + 2*v(k). Let c(y) = 2*y**2. Calculate c(a(u)).\nAnswer: 50*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19291*j - 5535*j**2 + 19291*j - 14418*j**2.\nAnswer: -19953*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 1:44 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 21 = 3*i - 0*i, 18 = 2*i - 4*g. Suppose -i*k = -2*x + 5*x - 6, 0 = -5*x + 10. Suppose -y + 4 + 11 = k. Solve -2*s + y = 3*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 5 + 10 - 11 = 0. Let g = 0.07 - 10.07. Let v = -5 - g. What is the second biggest value in v, b, 6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1512805219?\nAnswer: 523, 1447, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-12)\/(-10))\/((-4)\/60). Let r = c - -32. Let p(z) = 4*z - 3*z + r - 14. Let q(j) = -14*j. Calculate q(p(l)).\nAnswer: -14*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8247791 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -260, -261, -262, -263, -264, -265?\nAnswer: -266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tn when two letters picked without replacement from {t: 7, i: 9, n: 3}.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-19136832)\/(-1404) + -2*(-2)\/(-18) a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22*6*(-3)\/(-15)*(-1055)\/(-844)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 89 - 88. Let p = 0 + 2. What is the second biggest value in p, u, 1\/6, 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, 2\/7, -20, 0, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.697 less than -2239632161?\nAnswer: -2239632160.303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/6)\/(1\/6). Let z = -14 - -19. Is (z\/10)\/(v\/24) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14.3 + 14. Let h = 0.7 + w. Let c = -5 + 4.6. Sort c, h, 0 in decreasing order.\nAnswer: h, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7396\/(-148) - -43) + 7?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -14*q**3 - 2*q - 1. Let i be b(-1). Suppose 0 = i*k - 17*k + 48. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/31)*u)\/(u\/u**(-22\/3))*u**11\/(u**(3\/19)\/u) assuming u is positive.\nAnswer: u**(7853\/1767)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6321630 is divided by 820?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 25*c + 333 = 27*c, 0 = -4*m + 5*c + 240. Let n = m + -77. Sort n, -5, 5 in increasing order.\nAnswer: n, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 2011020202101?\nAnswer: -2011020202101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 87*s**2 - 15*s - 1297. Calculate r(-87).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11 - 24343*q + 12160*q + 12150*q + (0 + 6 - 4)*(-2 + 2 + 2*q).\nAnswer: -29*q - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2325 - 2159. What is the greatest common factor of r and 13778?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15d (base 16) to base 9\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -566*b + 2850*b - 566*b - 571*b - 573*b - 571*b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of 9\/70*g**7 + 0*g**4 + 0*g**6 - 4*g**2 + 0*g + 0*g**5 - 3*g**3 + 0. Find the first derivative of d(f) wrt f.\nAnswer: 108*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2232, -8854, -19892, -35346, -55216, -79502?\n\"Answer: -2208*s**2 + 2*s - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 146629072?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 9 = 2*s. Let i be (6 - 1 - s)\/((-3)\/(-18)). Calculate the greatest common factor of 144 and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 2*k - 31, 3*d + 7 = 3*k - 17. Suppose g = -k*g + 8. Solve 0 = 5*v + g - 7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -14, -13, -12, -11?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -7233.0671 to the nearest ten.\nAnswer: -7230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*i + 5*i - 24. Suppose 4*r + 0 = 16. Suppose 0 = -2*q + 5*s + 23, 2*q + 0*s + r = -4*s. Solve -q*b = i + 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 831273 = 5*o, -12*m = -15*m + 21. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -a**6\/1440 - a**5\/240 - a**4\/96 - a**3\/6 + a. Let k(h) be the second derivative of w(h). Let k(m) = 0. What is m?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3+1486\nAnswer: 1489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*g - 102 + 21 - 72. Solve 3*j = k - g, 2*j + 3*k + 16 = 7*k for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (20 - 20)) + 99 + 13 + -15?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -593623455, -1187246907, -1780870359?\n\"Answer: -593623452*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 948?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 428056 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.7194307058 from -31.\nAnswer: -31.7194307058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 5066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5638 times 1678?\nAnswer: 9460564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/(1*sqrt(99)))\/(sqrt(24)\/sqrt(2)*-3).\nAnswer: -sqrt(2)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 642*j + 525*j - 699*j + 677*j as x*j + i and give x.\nAnswer: 1145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 + (-45)\/10)*-12. Determine r, given that l*r**2 - r**3 + 3*r**2 - 57*r + 49*r = 0.\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 106193749?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15723511 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.02893 - 0.02893. Let p = 2 - -2. What is the third biggest value in 0.3, p, a?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*r - 7*r - r)*(0*r - 2*r**4 + 0*r).\nAnswer: -10*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11158696?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 72.\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4838*1.2\nAnswer: -5805.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, s: 5, g: 12}. What is prob of picking 1 g and 3 s?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 4*z**2 - 3*z + 13. Let x(f) = 5*f**2 - 4*f + 14. Let b be (4\/(-6))\/((-20)\/90). What is b*x(d) - 4*r(d)?\nAnswer: -d**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 + 3*b**2 - b + 6. Calculate f(-5).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -7. Let s = -1 + h. Is 134\/2 + 0\/s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1376 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: List the prime factors of 6\/(-4)*(-40)\/15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**3 - 6*y**3 + 5*y**3)*((1 - 3 + 1)*(-y - y + 0*y) + (-y + 0*y + 2*y)*(3 - 1 + 0)).\nAnswer: 4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 6 - 26 = -4*j. Let l = 72 + -218\/3. Put l, 2\/21, j in decreasing order.\nAnswer: j, 2\/21, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddddzgkkkdzdggkdkdd. Give prob of picking 1 z and 1 g.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.4 - 0.3. Let h = k + 0.1. Let q = 12\/97 - 230\/291. What is the third smallest value in -6, h, q?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 29880924 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 6*n = -180. Let f be (-4)\/(-1) + n\/16. Let o = 22\/15 - 9\/5. Which is the closest to 3? (a) 2 (b) o (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 160 = -4*r, 4*k + 160 + 4 = -5*r. Let p = -34 - k. Suppose -p*o = 3 - 7. Solve z + o*z = 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -634 - -1379. Suppose -7*o = -2*o - f. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-435618)\/(-3726) - (-2 + 88\/46). Solve 27*f = 18 + z for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 - -1. Let m = -0.2993 - 0.0007. Which is bigger: d or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 4*d - 6. Suppose 24 + 195 = d*g. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 + 1020\/48)*(-312)\/81?\nAnswer: 26\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (((-25)\/80)\/((-18)\/(-108)*-5))\/(57\/(-4))\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 296467?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33596 and 58793?\nAnswer: 235172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -5*i**2 - 6*i. Let s be 2*(-10)\/4 + (-2 - -11). Let o(x) = 2*x**2 + 2*x. What is s*n(f) + 11*o(f)?\nAnswer: 2*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 2. Suppose 0 = s + 3*w - m*w - 80, 308 = 4*s - 2*w. Is 5 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17.745 + 12.745. Put 2\/11, j, -118 in ascending order.\nAnswer: -118, j, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 22 = 26. Suppose 0 = -10*q + 74*q - 320. Calculate the remainder when q is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/(-2) - (-23)\/81*-39?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 797317?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 1, 4, 13, -1 in increasing order.\nAnswer: -1, 1, 4, 13, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 111110121212111012?\nAnswer: 111110121212111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -26*m + 1. Let v(i) be the first derivative of 3*i**2 + 26. Give f(v(l)).\nAnswer: -156*l + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -499 (b) -2\/9 (c) -26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56350 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 92 or 466\/5?\nAnswer: 92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3 - 2*c + 8 - c + 7*c. Let b be 7 - 0 - (-1 + 1). Let h(i) = -9*i - 11. What is b*p(w) + 3*h(w)?\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 18 (b) -0.5 (c) -0.7 (d) -5\/366\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.1 + 1.82. Are 1 and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-237)\/(-27) - (-6)\/27. Let j(i) = -3 - 2 - i**2 + 8*i - 1. Let u be j(5). What is the greatest common divisor of a and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1016*o + 193*z - 189*z - 16, 3*o - 3*z - z + 16 = 5*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -12*n**2 - n + 22*n**2 + 1 + 29*n**2 + 93*n**2. What is the hundreds digit of z(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3*n - 6. Let c = -33 - -53. Suppose -4*s + 24 = -c. Let d(v) = -2*v - 9. Let p(y) = 5*y + 26. Let t(g) = s*d(g) + 4*p(g). Calculate -3*l(k) - 4*t(k).\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**3 - 2*z**4 - z**3)*(-214*z + 204*z + 418*z)*(0 + 0 - 2).\nAnswer: 1632*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -310363\/4 or -77590?\nAnswer: -310363\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1477414?\nAnswer: 2, 738707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -19, 1, -2, 162, -4, 2 in increasing order.\nAnswer: -19, -4, -2, 1, 2, 5, 162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**2*i**4 + 8*h**2*i**2 - 4*h**2*i + 8*h**2*q - 29847*i**4*q - 5*i**4 + 21*i*q wrt i?\nAnswer: 48*h**2*i - 716328*i*q - 120*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -5*f + 1. Let o(u) = 16*u - 4. Let h be (-2)\/(4 + (-78)\/21). Determine h*i(k) - 2*o(k).\nAnswer: 3*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 180 + -72. Let i(j) = -12*j - 2. What is the remainder when q is divided by i(-2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1375, -2692, -4009, -5326, -6643?\n\"Answer: -1317*t - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 542 + 143. Let g = 221 + j. Let z = 194 - g. What are the prime factors of z?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12861 - -270013\/21. Find the common denominator of q and 41\/8.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 7*i**2 + 8*i + 3. Let n be a(8). Suppose 0 = -5*f - 5*w + 16 + 29, -n*f + 17 = w. Suppose -123 = f*k - 607. Is k a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -35.5 (b) 5 (c) 4 (d) -4 (e) -2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2 + (-150)\/22 - 0 and -2*((-13)\/9 - -1).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-14)\/(-5))\/(2\/5). Suppose -u*o = -5*o - 14. Suppose 0 = 2*n - 3*i - o, 5*i - 32 - 48 = -5*n. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -3a0?\nAnswer: -3a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.257 and 571?\nAnswer: -146.747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 5*t. Let j(h) = 13*h + 4. Let p(v) = 2*v + 1. Let q(f) = 7*j(f) - 28*p(f). What is q(w(g))?\nAnswer: 175*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-128)\/(-12) + 4\/(-6). Let j be (-12)\/(-5) + -2 - (-36)\/o. Factor -4*d**2 - 1\/6*d**j - 4\/3*d**3 - 8\/3 - 16\/3*d.\nAnswer: -(d + 2)**4\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3800501?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 2*x**3 + 29*x**4 - x - 2*x**2 + 16 + 2*x - 8 - 28*x**4 to the form z*x + q*x**4 + o*x**2 + d + l*x**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 4959.\nAnswer: 2\/4959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.4, -4262 in decreasing order.\nAnswer: 2, -0.4, -4262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 799097.3l in millilitres?\nAnswer: 799097300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ov when two letters picked without replacement from opsoovpoppoposopp?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - s. Let i(z) = -48*z**2 - 29*z - 9. Let u(r) = 4*a(r) - i(r). Is u(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 158*(-137)\/(-21646)*71\/5\nAnswer: 71\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*j - 15*j - 12*j.\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13344636?\nAnswer: 2, 3, 167, 6659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1554 is divided by 263.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3 + 4 - 2*w - 7 + 4*w. Let s be k(6). Suppose 0 - s = -3*i. Solve -5*h = 0, 10 = -2*v + i*h - 0*h for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6823214 is divided by 184411.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/33 and 139\/30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 + -19. Suppose o = q + 3*q + 78, r*q - 5*o = -50. Let m = q + 80. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of -a**5\/60 + 9*a**4\/8 - 15*a**3 - 8. Let y(n) be the third derivative of b(n). What is the tens digit of y(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5365317732?\nAnswer: 2, 3, 23, 19439557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 488 and 12139?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 14 - 8. Let s be ((-5)\/15)\/(x\/(-4)). Factor s + 2\/3*w**2 + 4\/3*w.\nAnswer: 2*(w + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 18*h**2 + 35*h - 3. Let q(c) = -35*c**2 - 70*c + 7. Let l(o) = 3*q(o) + 7*r(o). What is the second derivative of l(d) wrt d?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -588 divided by 6\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -2\/3*a**3 + 2*a + a**2 + 0 + 1\/24*a**4. Determine l(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/5)\/((-9)\/90). Suppose 3*v - 17 + z = 0. Does 13 divide 50 - 2\/(v - 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - (0 - 0))*0. Suppose 2*s - 15 + 5 = 0. Suppose 0 = -4*y + 8, -3*y = -s*b - 0*y - 26. Put 4, b, r in ascending order.\nAnswer: b, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/4 - 1 - -1. Suppose -2*d - 3*f = d - 24, q = -2*d + 5*f + 30. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.198 greater than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 9:34 AM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-2))\/(y\/(y\/(y**8*y*y)))*(y\/y**(-2\/19))\/(((y\/((((y\/(y*y**(2\/19)))\/y)\/y)\/y)*y)\/y*y)\/y) assuming y is positive.\nAnswer: y**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - 13*z**2 + 14*z + 7. Let s be r(-14). Let l be 58\/7 - 2\/s. Suppose -l = -a - 1. Let p(k) = k**2 - 8*k + 3. What is p(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 71.9 - -574.1. Let q = x + -660.28. Let a = q - -14.279998991. Round a to 7 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and 17.3999.\nAnswer: 17.7999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or -16613?\nAnswer: -16613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1141 and 16499.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.06 + 2. Let y = -1.56 - z. Let d = y - 4.2. Round d to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 12. Let g be (72\/30)\/(3\/(-135)). Let l be g\/(-20) - (4 + 115\/(-25)). Solve -3*j + l*j = k for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 + 5*d + 4. Suppose -o + 14 = 3*a, 0*o - 10 = -2*a - o. Let p be n(a). Suppose -72 = -5*u - 32. Are u and p equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t**4\/3 - 24724*t**3\/3 - 98908*t**2\/3 - 98912*t\/3 = 0. What is t?\nAnswer: -2, 0, 24728","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 9:05 AM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 441 and 103383?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, c: 3}. What is prob of picking 4 c?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 1 - f**2 - 2*f**2 + 4*f**2. Let o(q) = q - 3. Calculate the remainder when x(1) is divided by o(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70.70402 years to millennia.\nAnswer: 0.07070402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 2 = 3*t - 0*b, 0 = 5*t + b - 22. Let a be 50\/18 - t\/(-18). Suppose -5*q - 2 = -27, a*q = 5*z - 255. What is the greatest common factor of 6 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 2*n + 3*n + 26 + 32 = -t, 0 = 665*t - 699*t - 136 for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 7*f**2 - 96*f - 1164. What are the prime factors of y(-15)?\nAnswer: 3, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one ninth of a day?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5218919, -5218912, -5218903, -5218892, -5218879?\n\"Answer: t**2 + 4*t - 5218924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 3*j + k + 23, 0 = 4*k + 20. Let a = 19043 - 19035. Solve -j*z + a = -2*s - 2*z, 4*z = -5*s - 20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -2\/15 (b) -3\/2 (c) -4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-466)\/12116)\/((-5)\/(-15))?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 0. Let x = 13 - 11. Suppose -g*n + 4*n = x. Let i(t) = 3*t**2 - 1. Determine i(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 1:21 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2491*f + 2479*f = 4*b + 24, -4*b = -2*f - 18 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 191*m - 4. Is j(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37026\/968 + -38)\/(8\/6).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of w**5\/30 + w**4\/6 - w**3\/2 - 2*w**2. Let p(r) = r**3 - 11*r**2 + 11*r - 8. Let z be p(10). Does 13 divide a(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddthhcthhhhththhsh. What is prob of sequence tdd?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -8. Suppose 0 = -r + 3*t + 14, t - 8 = -j*r - 3*t. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) + -1*sqrt(110)*-6)\/sqrt(10).\nAnswer: 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 y when three letters picked without replacement from {d: 10, s: 4, y: 2}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-12))\/(-17*3\/(-204))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 + 0.5. Let r be 11\/(-22)*-4 - (-48)\/(-26). What is the smallest value in -5, r, w?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 761510 divided by 2\nAnswer: 380755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17909, -35996, -54081, -72164, -90245, -108324?\nAnswer: -126401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 4*d + 269 + 209, -t = 3*d - 155. Is t a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -7. Let t(w) = -w**3 + 8*w**2 + 5*w + 38. Let h be t(9). Do h and q have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 0.2 (c) 0.5 (d) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19026 - -19023. Sort -4, -345, r in decreasing order.\nAnswer: r, -4, -345","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 444.7152 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -821*a - 491*a = 64075 + 101774 - 49081 for a.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from ppppppppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3.18, -4, 2, 0.06, -3\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 2:02 AM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 142003 (base 10) to base 5.\nAnswer: 14021003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of -1579*n**4\/24 - 527*n**3\/6 - 1883*n**2. Differentiate r(a) wrt a.\nAnswer: -1579","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -351 + 536. Let t = 377 - h. Does 32 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -10893*q. Let g(r) = 638*r. What is g(m(j))?\nAnswer: -6949734*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 6 = -2*x. Solve x = -t + 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttthttwhhhmtmt. Give prob of picking 1 w, 2 m, and 1 t.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8.83 + -0.83. Let l = p + -5. Let w = -0.3 + 0.2. Sort l, 4, w in increasing order.\nAnswer: w, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -701 times -6747?\nAnswer: 4729647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 5*l - 2 = -3*l, 4*l = j + 5. Let p be (-2 - -3) + 1 + -4. Let w be (p\/(-93))\/((-3)\/(-9)). Is j less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/2*(4 + -2). Suppose -4*u + 22 = 5*q, 5*q - u = 6 + h. Suppose -f - 31 = -l, -5*l - 3*f = q*f - 145. Is l a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -16*c**3 - 104*c**2 + 90*c + 247. Calculate t(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 312162 is divided by 932.\nAnswer: 874","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -29*l**3 + l**2 - 14*l + 29. List the prime factors of c(-5).\nAnswer: 23, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 255 and 20094.\nAnswer: 100470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b*b**(2\/3)*b)*b)\/b)**(-7\/10)*((b**2\/b*b*b*b)\/b)**(25\/3)*((b*b**(-7)\/b)\/(b**(3\/2)\/b*b))\/((b**7*b)\/(b*(b*b\/b**(-2\/15))\/b)) assuming b is positive.\nAnswer: b**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + -1. Let h(y) = 2. Let b(g) = 6*g + 2. Let w(o) = -7*o - 3. Let z(x) = 6*b(x) + 5*w(x). Give j*h(d) - 2*z(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 10*q = 7*q + 63, 0 = -5*q + 25. What is the lowest common multiple of t and 72?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39 - -38.9. Which is the second smallest value? (a) 4 (b) -3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -6*j + 11546. Let u(s) = 168*s. Calculate u(i(t)).\nAnswer: -1008*t + 1939728","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 3)*(-18 + 9*b**3 + 18)*(-2*b + 3*b - 4*b).\nAnswer: -27*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189*w = -194*w + 140. Let u = 33 + w. Does 17 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -133362?\nAnswer: 133362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l**3 - 3*l**2. Let g be x(-2). Suppose 5*y + 109 = 139. Suppose -133 = -i - g*h + y*h, -276 = -2*i + 2*h. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 PM and 12:13 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*j**3\/7 - 35420788*j**2\/7 + 42504958*j\/7 - 7084160\/7 = 0. Calculate j.\nAnswer: -3542080, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 237.4 and -2.6.\nAnswer: -617.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3 - 240*x**2 + 2374*x + 2616.\nAnswer: 2*(x - 109)*(x - 12)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 175812638 divided by 634?\nAnswer: 277307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 150*g**2 + g + 99. Let d(u) = 19*u**2 + 79*u + 4. Let p be d(-4). Is j(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 316685?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + -1 + -1 + 0. Let n(j) = 69 - 14*j + 7*j**2 + 13*j - 72. What is the lowest common multiple of n(h) and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51 divided by -3\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 439 and 88343921.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 232\/(-8) - (-1)\/(836\/(-77) + 11)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1383\/63 + 352\/(-96)*6\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 140, -4, -14.\nAnswer: -14, -4, 140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -40*g**5 - 575*g**4 + 2670*g**3 + 1080*g**2 = 0.\nAnswer: -18, -3\/8, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*i - 7 = -63*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -592, -2\/41, -55, 0 in descending order.\nAnswer: 7, 0, -2\/41, -55, -592","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*c + c + 3*k, c + 2*k = -1. Let o(z) = -2*z - 12. Let h be o(c). Let a(q) = h - 3 + 3 - q**3 + 5*q**2 - 5*q + q. Give a(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9044 and 866984972.\nAnswer: 9044","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 4*g**3 - 8*g**2 - g + 13. What is k(-2)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 280 - 262. Solve -3*b = -3*t - o, -3*t + 3 - 13 = b for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -331, -325, -313, -295, -271, -241, -205?\n\"Answer: 3*v**2 - 3*v - 331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42 + 5 + -8 + -25?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.550072 tonnes?\nAnswer: 550072000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 375 and 1680814875?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4254697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j**3\/2 - 2*j**2 - 181*j\/2 - 88 = 0. What is j?\nAnswer: -11, -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -12. Let s be ((-1)\/2 + h)\/((-1)\/(-5854)). Suppose -2352 = -0*f - 4*f + b, -s = -5*f - 2*b. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17720553*-1.\nAnswer: 17720553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + v = 30. Let r be 2\/(1*4\/10). Suppose 0*x = -r*x + 80. What is the smallest common multiple of x and v?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/(-2)*1804\/33. Let q = -4676\/19 - n. What is the third biggest value in q, -1\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -7*f - 3. Suppose -4*y + 11 = -5. Let n(a) = y*a + 49 - 51 - 10*a + 2*a. Determine -5*n(l) + 3*t(l).\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2495)\/220 + 45\/5 and -109\/66.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/3 of a hour in seconds?\nAnswer: 88800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*n - 2*n + 10*n - 3 - 7*n in the form i + w*n and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 10, -4.\nAnswer: -4, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3892989096?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8039029.\nAnswer: 23, 193, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -89.44514 + -0.14486. Let j = -90 - r. Let n = j + 0.01. Which is the second smallest value? (a) n (b) 3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -106*132\/(-2 - 1). Let h = t + -2905. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m, -2*k + m = -m - 2160. Solve -k = 11*a - 1091 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.046 times 0.145\nAnswer: 0.00667","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 - 25408*r - 177954.\nAnswer: 2*(r - 12711)*(r + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 4:54 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and 1.13763645.\nAnswer: 0.63763645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3333460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 6*1*sqrt(2).\nAnswer: -3 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2269754 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 72745031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 5*r**2 - 10*r + 69. Let m be c(5). Suppose 81 = 10*f - m. Solve 0 = f*l - l + 27 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 336585?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 127 - 38 = 0. What is the second derivative of -2*i + i + 5 + 0*i + m*i**2 - 8 wrt i?\nAnswer: 110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 231866716 by -10324.\nAnswer: -22459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -28, -46, -74, -118, -184, -278, -406?\n\"Answer: -x**3 + x**2 - 14*x - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3506971, 3506971, 3506969, 3506965?\nAnswer: 3506959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + r - 8 + 4.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of -j**4\/6 + 39*j**3\/2 + 106*j**2. Calculate the remainder when h(-16) is divided by 62 - 2\/((-4)\/(-2)).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 143, 0.3, -0.5 in increasing order.\nAnswer: -0.5, 0.3, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2)*c\/(c\/(c\/(c\/(c\/((c\/c**1)\/c))))))\/(c**(4\/5)\/c**11) assuming c is positive.\nAnswer: c**(51\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-10)\/v)\/(v\/v**8))**(-31))**(-6) assuming v is positive.\nAnswer: v**(-744)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -272 - -270. Put -3, 21, 4, b in descending order.\nAnswer: 21, 4, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 35502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 16 (b) -2 (c) -3\/220\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -41914, -83119, -124324, -165529, -206734, -247939?\n\"Answer: -41205*n - 709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2053935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j - 3*j + 156 = 0. Suppose -2*g = -3 + j. Let u(i) = -i**2 - 5*i + 2. Give u(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*s + 16*w - 11*w = -59*s + 98, -s - 2*w + 14*w = w + 202 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7354023251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/(10\/(-16)))\/(6\/(-15)). Suppose 0 = -u - 5*g + 914, 731 = -4*u - c*g + 4339. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 4*b**2 - 2*b + 14. Is n(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*m**3 + 12*m**2 + 4*m.\nAnswer: 4*m*(m + 1)*(2*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -58*z + 68*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - (-4)\/14)\/2. Let j = -12.7 + 13. Let w = -2.2 + 0.2. Which is the nearest to w? (a) -3\/4 (b) v (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5500 + 2?\nAnswer: 5502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.123 and 1.43838.\nAnswer: -0.17692074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -0.3 (c) -43 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - u**2 - u + 2. What is h(-3)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*p = -2*i - 12, -3*p = -2*i + 3. Let n = 6 + i. Let k be -5 + 25 + -14 - 4*2. Sort 5, n, k in descending order.\nAnswer: 5, n, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/4180 + 355303\/12540. Let o = m - 28. Which is the closest to o? (a) 0 (b) -5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -12*2712\/(-25920)*10\/8 and 155\/168.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/1155*-12 - (3 - 35\/11)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 2336\/137637?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -163*y**2 - 17440*y + 348. What is v(-107)?\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**3 + d**2 - 3*d. Let j be w(-3). Let h = 51 + j. What is the greatest common divisor of h and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -7. Suppose 5*l - 327 = 2*f, 47 = 2*l - l - a*f. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 5, -99, 620.\nAnswer: -99, -5, 3, 5, 620","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence php when three letters picked without replacement from pfvphhpqhf?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5\/4 of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3192543085079 and 0.\nAnswer: -0.3192543085079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c + 24 - 20 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.15, 45 in decreasing order.\nAnswer: 45, 0.15, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/3 at least 14\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26918149*t**3*x**2 + t**2*x**2 - 41*t**2 + 3*t + 172*x - 30 wrt t?\nAnswer: -161508894*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*v**4 - 183*v**3 - 238*v**2 - 557913 wrt v?\nAnswer: -8*v**3 - 549*v**2 - 476*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13750 divided by -1.\nAnswer: -13750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20 * -59769.\nAnswer: 1195380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 256099 and 667.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -204629, -204630, -204631, -204632?\nAnswer: -204633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t**2 - 1. Let s be y(1). Let n = -2.4 - -2. Let w = n - -0.3. Which is the closest to w? (a) -0.4 (b) s (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/3*((-78)\/24 - -1). Suppose -r - 142 = -j*r. Calculate the highest common factor of 284 and r.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2674208 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5*(0 - (-2 + 1)) + 1. Let b be q*5\/(-10)*(-2)\/2. What is the third biggest value in -4, 0.5, b, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 4, s: 7}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 - -29.9. Let p = -0.3 - -0.2. Is p smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-6))\/(n\/n**(-5)))\/(n**2)**(-39) assuming n is positive.\nAnswer: n**79","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (-1 - 1)) + -34 + (-31 - -70).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 18*n**2 + 11*n - 147. Determine q(-19).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -225404 and -225414 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 9 = -11. Let t = u - -1. Is t a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - ((-26)\/6 + 18\/(-27))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/20 - (-26)\/(-40). Let j = 0.01 + 0.03. Let p = j + 0.16. Which is the smallest value? (a) s (b) p (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 34*n - 31. Let t(k) = k**2 - 35*k + 32. Let f(y) = -3*o(y) - 2*t(y). Let g(d) be the first derivative of f(d). What is the tens digit of g(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*v - 4*v + 2*v)*(-40 - 51 + 29)*(-2*v**2 + 3*v - 3*v) + 326*v**2 - 326*v**2 - 2*v**3 in the form d*v**3 + n*v**2 + c*v + w and give d.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/(-18))\/1 - (-13383)\/19532. Let s = r + -1\/1028. Suppose -d + 2 = d. Which is smaller: d or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -13*q**2 - 2743. Let w(u) = -u. Calculate l(w(y)).\nAnswer: -13*y**2 - 2743","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -36\/58715?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 32*d*o*s**2 + 19*d - 4*o*s + 2*s**2 wrt o?\nAnswer: 32*d*s**2 - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v - 4*v**4 + v**2 - 4*v**3 - 2*v**2 - 3*v + v**3 - 1 to m + a*v**4 + o*v**3 + z*v**2 + d*v and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 649198 and 5665728.\nAnswer: 62323008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5025, -10187, -15485, -20919, -26489, -32195, -38037?\n\"Answer: -68*r**2 - 4958*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2401, 9.\nAnswer: -3, 9, 2401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -455, 1, -2 in increasing order.\nAnswer: -455, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -928 = 4*a + 112*a for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 w when four letters picked without replacement from {w: 2, l: 3, x: 5, u: 1, k: 1}?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*n - 147*n + 667 - 3307 = 0 for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 take away 6.3?\nAnswer: 12.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -166, -8, 3 in increasing order.\nAnswer: -166, -8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (0 - (-7 - -3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 + -5. Suppose 3*b = 2*h - i, -4*h = -5*h - 2. Sort b, -3, 0 in increasing order.\nAnswer: b, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of -7*k**6\/50 - 201*k**5\/100 - 91*k**4\/10 - 16*k**3\/5 + 432*k**2\/5 + 3*k - 60. Solve j(d) = 0 for d.\nAnswer: -4, -18\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -134.1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6 times -11111\nAnswer: -66666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*u - 177*u - 4*d - 4 = 0, 2*d + 7 = -3*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-3)\/24*(-24)\/(-108)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 3\/3538271 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.882 - 1.382. What is the second smallest value in -0.05, s, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + 26. Which is greater: s or 9?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -4*b + 189. Does 17 divide k(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 1088 = 2*p, -y + 22 = 24. Does 8 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 - (36\/(-414) - (-740)\/46). Suppose 0 = -0*k + k - 34. Let w = k + i. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -192 divided by -2\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -95866204\nAnswer: -383464816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 15 + 5)*(9*j + 23 - 23).\nAnswer: 162*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6301200 + 6327465 = -309*t for t.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of p**4\/6 + p**3\/3 + 15*p**2\/2 + 164*p + 2. Let v(f) = -f**2 - f - 1. Determine -3*v(a) - y(a).\nAnswer: a**2 + a - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*p - 41*p + 149*p - 1214720 = 0. What is the remainder when p is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 3:18 AM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, v: 2, k: 6}. Give prob of picking 4 k.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.2596 - -3.98811. Let a = -0.264 - n. What is a rounded to 4 decimal places?\nAnswer: 0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 12) to base 2.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 568926?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8593169 nanometers in micrometers?\nAnswer: 0.0008593169","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*q - 17*q - 64. Let i be 14\/3 + q\/(-24). Suppose -4*p - 27 + 7 = -2*m, -5*m - 2*p + 14 = 0. Calculate the highest common factor of m and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = s - 75. Let x = 101 + s. Let c = 237 - x. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of u**5 - 7299198*u**4 + 19803473*u**2.\nAnswer: 60*u**2 - 175180752*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -700302 to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5 - 7)*(0 - 1). Suppose 5*x - 21 = 2*x. Factor -6*t**4 + 11*t**4 + 2*t**n - x*t**4.\nAnswer: -2*t**2*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 4*c**2 - 3*c + 3. Suppose 5*s = -30 + 15. Let k(y) = 7*y**2 - 5*y + 5. Let w(f) = f**3 + 3*f**2 - f + 2. Let b be w(-3). What is b*r(j) + s*k(j)?\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*i - 32. Let o = i + 9. Suppose 0 = 4*u, -u + 0 + 3 = g. Solve 0*v + 4 = -4*n + o*v, g*v = n + 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 13*j - 3. Let z be x(-12). Let o = z + 12. Let d(h) = -h**3 - 3*h**2 - 4*h - 1. Determine d(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 811256 times 5\nAnswer: 4056280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.91488503 rounded to two dps?\nAnswer: -0.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 334618 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h**2 - 2*h**4 - 3*h**2 + (-4*h - 3*h + 6*h)*(5*h**3 + 72*h**3 - 3*h**3).\nAnswer: -76*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (135\/162*-12)\/(((-18)\/20)\/(-9)).\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c. Let v(s) = 181*s + 48*s - 38*s + 31*s. Calculate w(v(y)).\nAnswer: -666*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 divided by 926?\nAnswer: -27\/926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4*-39\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1343, 1155, 967?\nAnswer: 779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -5. Solve z = 7*t - 4*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1133 + -878. What is the hundreds digit of -1949*(2 + 1)*(-85)\/h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000039595 to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -d + 2*o, 12 = -3*o. Suppose 3*p - 42 = -3*n, -2*p + 4 = n + p. Suppose -n + 99 = d*a. Is 3 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3368000 divided by 42100?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of 397*q**5\/5 - 99*q**2\/2 + q + 1218. What is the second derivative of o(x) wrt x?\nAnswer: 4764*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/24 and -89\/378.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 293555?\nAnswer: 5, 58711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 40*x - x - 4.\nAnswer: 39*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -d**2\/8 + 240926*d - 5782215\/8 = 0.\nAnswer: 3, 1927405","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4793 by 1.\nAnswer: -4793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does -5797844\/9 = -644206?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.008, 1\/27, 0.0242 in descending order.\nAnswer: 1\/27, 0.0242, 0.008","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -5942*z**2 + 22*z - 13*z + 5824*z**2 in the form g*z + u*z**2 + f and give u.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 89 - 392. Let u(b) = -101 + k - b**2. Let z(a) = 2*a**2 + 13*a. Determine u(z(r)).\nAnswer: -4*r**4 - 52*r**3 - 169*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = 11*w - 88 + 52 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -160.369 - -133.7.\nAnswer: -26.669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 286082?\nAnswer: 2, 313, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 207 divide 20594430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*d**2 + 3509524*d - 7019020.\nAnswer: -(d - 2)*(7*d - 3509510)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16344.45 and -2.\nAnswer: -32688.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3013331 - -12?\nAnswer: -3013314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 6*v**2 + 7. Suppose -4*d - 18 = -d. Let t = -17 + 12. Let k(m) = -7*m**2 - 8. Give d*u(s) + t*k(s).\nAnswer: -s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 divided by 3953139?\nAnswer: -8\/1317713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 1314.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, -46, 3\/2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + 55 - (-3 - -7). Let o = j + -45. Let s = 7\/55 + 3\/11. Put 2, s, o in descending order.\nAnswer: o, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/(165\/2)*-1*(16 + -13). Suppose h + c + 11 = -2*h, 5*h + 21 = -3*c. What is the biggest value in h, s, -5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 270\/48 - (6 - 0).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**2 + 11*b + 11. What is d(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 9 + 129. Let h(n) = -n**2 - 20*n - 22. Calculate the remainder when h(-16) is divided by 1\/(2*2\/f).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 4*v = 19*v + 221 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2217086 or -84?\nAnswer: -2217086","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -2*c - 34, -2 = -6*c - 20780*f + 20778*f for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(-6)\/(-9) - (-936)\/1350. Which is the smallest value? (a) -4 (b) 2 (c) -0.5 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -127 - -131. Put -3, q, 118, 2 in ascending order.\nAnswer: -3, 2, q, 118","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of z**4\/6 - 5*z**3\/6 + 2*z**2 - 15*z. Let r be p(3). Suppose -4*l + 12 = -2*m, -3*m = 3*l - r - 2. Sort 7, l, 5.\nAnswer: l, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 4*k**2 - 5*k + 3. Suppose 2*p + 12 = 5*p. Let t be f(p). Suppose -23 = -2*b + t. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 4. Let m = -4 - s. Calculate the lowest common multiple of 22 and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - 4*c**2 + 8*c + 3. Give n(-6).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4280, -1785, 710, 3205, 5700?\nAnswer: 8195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*v + 102*v - 35651 = 0. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53.4 times -580\nAnswer: -30972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/92314 and -27\/16.\nAnswer: 738512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, z: 2}. Give prob of sequence mz.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -125*d**3*n**2 - 36*d**2*n - d*n**2 + 2*n**2 wrt d?\nAnswer: -750*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 1 = -a. Let c be (3 - 4)\/a + 17. What is the common denominator of ((-111)\/c)\/((-1)\/(-3)) and -81\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -249.19 - -0.19. Let p = -244 - o. Let j = 0.64 + 0.06. What is the nearest to 2\/3 in p, 3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/6*306\/(-12). Let w = 20 - a. Suppose -w = x - 2*x - k, -x - 5*k = 13. Is 7 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3332811 > -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.5, -4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 813\/315) + (-6)\/45\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - 6*o**2 + 6. Let m be h(6). Suppose -p + m*v - 19 = v, 3*p - 28 = -2*v. Differentiate 14 - p*n - 3*n + 0*n - 5*n with respect to n.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -97 - -295\/3. What is the third biggest value in -0.5, -9, m?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 2*k**2\/13 - 60484*k\/13 - 15307486\/13 = 0.\nAnswer: -251, 30493","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3660 is divided by 51.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 3*o + 8 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2022)\/6066*(-6)\/(-34)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 88 = -7*q. Suppose 6*t - q - 16 = 0. Solve 2*o - 6 = -t for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 3*x + 10 = x, -3*k + 5 = x. Does 11 divide (92 - k)*(-17)\/(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20438 is divided by 2884?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 not equal to 18412\/3561?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 10)*(0*o - 2*o**2 + 0*o) - 2*o + 2*o - 2*o**2 + o**2 - 1 + 1 + (3*o**2 + o**2 - 3*o**2)*(5 - 4 - 3) + 0*o + 0*o - o**2.\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k - 6. Let h be z(-5). Find the first derivative of 13*l**h + 7*l**4 - 2 - 2 - 7*l**4 wrt l.\nAnswer: 52*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 + 21. Let b = i - -29\/16. Let k = 0 + -5. What is the second biggest value in b, 0, k?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*14\/126*(-2)\/6. Let b(q) = 6*q**2 + 26*q + 36. Let w(i) = -i**2 - 5*i - 7. Let l(u) = -2*b(u) - 11*w(u). Let h be l(4). Sort h, -1, o.\nAnswer: -1, o, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10060.09351 - -0.1576?\nAnswer: 10060.25111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -2*b - 4, -b - d + 2*d = 0. Solve 0 = b*i + 4 + 8, -2*l + 9 = -3*i for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g**2 - 2*g**2 + 5*g**2)*(-120 - 1488*g + 73 + 47) - 5*g**3 - g**3 - g**3 in the form s*g**3 + y + q*g**2 + z*g and give s.\nAnswer: -1495","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 218*u**3 + 768*u**2 + 3*u**4 + 72*u**3 + 2 + 0*u**4 + 732*u**2 - 1498*u**2 in the form s + v*u + t*u**3 + j*u**4 + z*u**2 and give t.\nAnswer: 290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109666 = 77*c + 104199 for c.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + -5 - -6) + (7 - 7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-36) + (-22)\/(-56)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + a - 1. Let i(h) = 5*h**3 + 3*h - 3. What is -2*i(r) + 6*l(r)?\nAnswer: -16*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63162 and 207042.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25 - 64) + -3 - (-3 + (9 - 5)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 5 + 0 + sqrt(17).\nAnswer: sqrt(17) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 283620 and 580.\nAnswer: 283620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 6) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 12:25 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 51 (b) 2 (c) -0.1 (d) -1 (e) -44\/13 (f) -1.9 (g) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**4 - 52*h**3 - 172*h**2 - 60*h + 288.\nAnswer: -4*(h - 1)*(h + 3)**2*(h + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -254638525*x**5 - 52*x + 3801417.\nAnswer: -5092770500*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2*((-3918)\/12)\/(11\/286)?\nAnswer: 2, 13, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fq when two letters picked without replacement from fqqqqqfqqqffqq?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -11104430224?\nAnswer: -11104430224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14.7 and 530.\nAnswer: -7791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*z - 81 = 0. Let f = -10 - z. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -1750*f + 1756*f. Is f bigger than -13\/323?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19\/6 - 41\/12. Let p = 2\/9 - 31\/18. Let j = -0.1 - -0.5. What is the nearest to 1 in p, j, q?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/3 - 3141398*w\/3 + 9424140.\nAnswer: 2*(w - 1570690)*(w - 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2 + 4446*f + 40176.\nAnswer: -2*(f - 2232)*(f + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -450571 (base 8) to base 12\nAnswer: -73b09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77833 is divided by 23586?\nAnswer: 7075","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15825)\/(-844)*(-20)\/15?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) -5.907 (c) -0.149\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*u - 50*u = 22. Suppose -4*g = 3*c + 6, 0*c + 4*c - 3*g = -33. Does 29 divide (u\/c)\/(-1) + (-524)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2103, -2106, -2119, -2148, -2199?\n\"Answer: -q**3 + q**2 + q - 2104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3746541281 to the power of 1\/5, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 876?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1841 + 1844. Solve -5*s - 5 = 2*z, a*s + 7 = -2 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111 + 100?\nAnswer: -1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/30)\/(15\/(-180))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.158411ng to tonnes.\nAnswer: 0.000000000000002158411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f + 270 = 13*f. Calculate the remainder when 160 is divided by f.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12438200 to the nearest 100000.\nAnswer: -12400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - 5*o**2 + 8*o - 2. Let u be f(3). Suppose -3*n = -u*n + 48. Is 12 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12034 (base 5) to base 6.\nAnswer: 4050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/5, -4\/5, 2\/9, -49\/23, 5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4 = 3*d + 2*d, 3*d - 3 = -2*j. Suppose -484 + 3022 = j*i. What is the common denominator of 2\/8 - i\/(-24) and -16\/11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -269309*l - 2*l**2 - 269305*l + 538612*l.\nAnswer: -2*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43709 divided by -40.\nAnswer: -43709\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*j**2\/17 + 450*j\/17 + 464\/17.\nAnswer: -2*(j + 1)*(7*j - 232)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1152.447 + -1153. Let o = 1.757 - s. Let j = o - -0.69. What is the biggest value in -1\/2, j, 0.01?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*c - c + 4*c.\nAnswer: 17*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 320 - (4 + (0 - (-6)\/(-2))) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2680570 to the nearest integer?\nAnswer: 1637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -71?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 19 + x**2 + 6*x + 2*x - 8*x + 4*x. Calculate the remainder when l(-11) is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 AM and 2:33 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.13 * -2.9089\nAnswer: -0.378157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*u + 441 = -198 + 198 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*u + 4*u + 21. Let z(j) = -9*j**2 + 17*j + 14. Let r(k) = -5*k**2 + 9*k + 7. Let o(q) = u*r(q) - 4*z(q). What is the tens digit of o(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 10*m**2 - m - 3. Let l be o(-10). Let s be (-3)\/(-21) - (-6)\/l. Which is greater: s or -2\/15?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i + 2*i - 9*i + 1 + (0 + 8 - 4)*(1 - 1 + 3*i) - 2 + 2 + i.\nAnswer: 6*i + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209721 is divided by 3430?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2218 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, w: 2}. What is prob of sequence whhh?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 3*w + 3. Let d be a(-2). Suppose -k = 3*n - 17, 5*n - 3*k - 26 = -7. What is the least common multiple of n and 4\/(2 - d\/1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 17*x**2 + x**2 + 2*x**2 + 7*x + x**2 - 1. Is r(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7512.920035 - -7513. What is b rounded to three dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4\/3 - 2266*x**3 + 11641237*x**2\/3 - 99744788*x + 1937584324\/3.\nAnswer: (x - 3386)**2*(x - 13)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vfv when three letters picked without replacement from mvvmvvmfmfm.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 437 = -g - 2*g, 4*g + 1740 = 4*t. Is (t\/(-28))\/(1\/(-10)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/881478 and -107\/78?\nAnswer: 881478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s**2\/19 + 20*s\/19 - 26\/19 = 0. Calculate s.\nAnswer: -13\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11373*a**2 + 5768*a**2 + 5603*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34 + 50. Let d be 102\/1*6\/4. Suppose -3*z = -5*i - 85, -5*i + 2*i = 5*z - d. Calculate the remainder when z is divided by h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 4424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 817*o**2 + 81*o + 15. Is k(-14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 470 a factor of 101050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1474955 to the nearest integer?\nAnswer: 1214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 940?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.07 + 0.32. Round i to one dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156460537 to the power of 1\/4, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00195106252 rounded to 6 dps?\nAnswer: -0.001951","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 326322 is divided by 105?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 2*x - 6. What is the least common multiple of 21 and w(-4)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 8*d**2 + 3*d + 9. Determine i(8).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*m + 7*m**4 + 8*m)*(-3*m + 3*m + m) - 4*m**3 - 2*m**2 + m**5 + 4*m**3.\nAnswer: 8*m**5 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46120 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y - 9. Let j be q(4). Let x be ((-477)\/(-36))\/(1*j). Let h = x - -1121\/84. Which is the smallest value? (a) h (b) 3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (2\/(-2) + 9 + -17).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 1:36 AM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 32ac - 1?\nAnswer: 32ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 36 = w, -16*i + 21*i - 66 = 4*w. Solve i*d - 18 = 16*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12111118 (base 9) to base 3\nAnswer: -102010101010122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(98)*3 - (1 + sqrt(98))*2)**2.\nAnswer: -28*sqrt(2) + 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-9) + 39\/9. Suppose f*x = x. Suppose -3*a + 2 - 5 = x, -2*i + 2*a = -30. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-five quarters of a century?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -12*g + 36145 + g**2 + 36163 + 36174 - 108521. Determine q(17).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -308b (base 13) in base 8?\nAnswer: -15062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 3 + 6 + 5*c.\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3694 a factor of 2341996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 5*b + 47. Suppose 4*k - n + 13 + 32 = 0, -n - 25 = 3*k. Calculate y(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4643, -9255, -13873, -18503, -23151?\n\"Answer: -s**3 + 3*s**2 - 4614*s - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1146 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5926 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1384 + -16595\/12. Find the common denominator of v and -95\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 - z + 1. Let w(l) = -5*l**4 + 4*l - 4. Let n(o) = -4*c(o) - w(o). Find the third derivative of n(y) wrt y.\nAnswer: 120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 11*r**3 + 11*r**2 - 2*r + 3. Let p(a) = -5*a**3 - 5*a**2 + a - 1. Let q(z) = -5*p(z) - 2*u(z). Let h(j) = -j**2. Determine 3*h(c) + q(c).\nAnswer: 3*c**3 - c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p**2 + 462 + 49369*p + 49501*p - 230 - 98870*p - 232.\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 + 13 = -5*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 12*q**2 - 10*q - 2. Let f be j(13). Suppose 3*a = 84 - 6. Let h = f - a. Is h a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10421 or 30463?\nAnswer: -10421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 20, 68, 140, 236?\n\"Answer: 12*i**2 + 12*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 914124.\nAnswer: 2, 3, 17, 4481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -3. Let j(n) = -13*n - 9. Let g(x) = 9*x + 8. Let q(h) = 3*g(h) + 2*j(h). Calculate -5*m(p) - 2*q(p).\nAnswer: -2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16621 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -p + 15, -t = 2*p + 2*t - 25. Put 1, p, 0 in ascending order.\nAnswer: 0, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus -1.954257?\nAnswer: 2.954257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 622*t**3 - 3*t**2 - t + 3. Let w be s(-3). Let o = w + 26815. What is o rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven quarters of a year?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1707827690 rounded to the nearest 100000?\nAnswer: 1707800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 3*q - 24. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 870 = -5*k, -77 = -k - 3*a + 97. Let b = 90 - k. Let q = -26 - b. What is q rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 540791313 to the nearest integer?\nAnswer: 815","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, i: 2, g: 5, y: 4}. What is prob of picking 1 o, 1 i, and 2 y?\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**2 + 2*d**3 + d**2 + (4 + 1 - 4)*(-d**3 + 5 - 5) + 78*d**2 + 13*d**3 - 78*d**2 in the form b + h*d + f*d**3 + x*d**2 and give f.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -9*t + 28. Suppose -2*w = -0 - 4, s - 24 = -2*w. Calculate the highest common divisor of s and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2992.8 + -2992.5. Which is the second biggest value? (a) q (b) 2\/13 (c) 0 (d) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 71, -1\/5, -0.2351?\nAnswer: -0.2351","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*t + 12 = 13*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -61314344?\nAnswer: -61314344","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 620267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*i**2 - 28*i + 299*i**2 - 22*i + 49*i.\nAnswer: 415*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 608*q**2 + 608*q**2 + 56*q**4 - 1218*q**2 + 9*q wrt q?\nAnswer: 1344*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b + 2*l - 11, 0*l - 11 = 5*b + l for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a meter in centimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3745510 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-36)\/(-8) + 2\/(-4). Suppose q - 4 = -x, -n*x - 2 + 18 = 2*q. Is ((-3)\/x)\/(7\/(-420)) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13512625 + 6*g - 13512625.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9214210?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 + -11 - 0) + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10\/25)\/((-10)\/(-125)). Suppose -y + 8*l + 11 = 6*l, -4*y = -i*l - 32. Solve 14 = -y*f + 5 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 2*y**4 - y**4 + 55*y - 54*y as h*y**4 + m + j*y + l*y**2 + g*y**3 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1398 = -3*g - 4*y + 2*y, -3*g + 1410 = -2*y. Suppose 9*v - 1215 = -g. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-120)*3*-2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17478941.\nAnswer: 17, 43, 23911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 5 in decreasing order.\nAnswer: 5, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*a + 10*a + 10*a)*((-23*a - 14*a + 11*a)*(-2*a - a + 2*a) - 5*a**2 + 4 - 4 - 3*a**2 + 2*a**2 - a**2).\nAnswer: 171*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -49*k - 3197*k**3 + 48*k**5 + 3199*k**3 + 52*k + 311 + 2*k**4 wrt k?\nAnswer: 960*k**3 + 24*k**2 + 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 596 divide 10326892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96) + sqrt(24))\/sqrt(8))**2 - ((sqrt(15)\/sqrt(5) - sqrt(3)) + sqrt(3) + -3 + sqrt(3)).\nAnswer: -2*sqrt(3) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/q**(-2\/3))\/q)**(2\/71)*q**(3\/7)\/q*(q*q\/q**(1\/6))\/q*q*q*((q*q*(q\/(q\/(q**(-1)*q)*q))\/q)\/q)**(39\/2)*(q*q**(-2\/5))**(4\/9) assuming q is positive.\nAnswer: q**(-126172\/7455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.19 + 0.2. Let m = u + 3.99. Let o(y) = y + 5. Let i be o(0). Sort m, -2\/11, i in ascending order.\nAnswer: -2\/11, m, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -22*j - 369. Determine g(-18).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 4 = -t, -2*t = -6*t - b - 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197*c + 24394 = -30374 - 15758. What is the remainder when c is divided by 113?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((10\/(-2))\/(-1))\/(390*149\/58110)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 868 - 388. Let g(d) = -d**3 + 8*d**2 - 4*d - 18. Let q be g(7). Suppose 4*n = -12, -5*n = q*i - 2*n - w. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 1 = -o, -4*o + 9*o + 3*p - 7 = 0. Solve 7*t - 2*t - 4*y = -20, -t = -o*y + 10 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of -r**5\/5 - 5*r**3\/3 + 7*r. Find the second derivative of i(d) wrt d.\nAnswer: -24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.82 times -0.1961234?\nAnswer: -0.160821188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 271.5 and 124.\nAnswer: 33666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/((-8)\/6) - 6. What is the tens digit of (-10)\/((9\/6)\/u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 972?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/130 and -151\/18?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1796 times -87454?\nAnswer: 157067384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31315*a = -30182*a - 145024 for a.\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -7*h - 15. What is the tens digit of 1\/(0 + h\/76)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -19. Let v = 9 - c. Suppose -7 + v = -u. Solve -w - w + u = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (2 - (1 + -2))) + 6 - (11372 + -11364)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-273)\/(-12) + (-16)\/(-64). Solve 0 = -3*i + 2*h - u + 8, -4*h + 12 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4*p**3 - 3*p**2 + 11*p - 7. Suppose -2*n + 0*n - 4 = -2*s, 2*n - 26 = -4*s. Let h be l(s). What is the greatest common divisor of 86 and h?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 12:36 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 12:57 AM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21871*g - 21927*g + 8280104 = 0. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o - 2*o - 387 = 0. Calculate the remainder when o is divided by 18.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -422 + 548. What is the greatest common factor of z and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1483, -1482, -1481?\n\"Answer: q - 1484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -109 - 129\/2*x**2 + 103*x. What is the derivative of s(l) wrt l?\nAnswer: -129","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -77959 by 49.\nAnswer: -1591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-3)*45\/5. Let p = -1 + v. Calculate the remainder when 14 is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -188*w + 48 - 29 - 395 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-536)\/(-56) - 9)\/((-1)\/14)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 5*d**2 - 2*d. Calculate h(6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 194413988?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*r + g, 10 = -r + 4*g + 2. Is r at least as big as 5\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2088848038.\nAnswer: 2, 17, 3593, 17099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x - 1. What is the least common multiple of 9 and v(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 5, 4*v - 41 = -y + 78. Let h be 4 - 54\/v - 2\/10. Suppose 0 = 5*o + 5, -4*q = h*o - 10 - 4. Solve q - 14 = 5*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 548 + 14.5257\nAnswer: 562.5257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/3 - 170091172*t\/3 + 3616375849041698\/3.\nAnswer: 2*(t - 42522793)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 11. Suppose k = 5*k - q. Suppose 0 = -5*m - k*y + 2, 2*y - 3 = -4*m - y. Solve 0 = -5*l + 2*j - 1, 5*l + m*l - 14 = -3*j for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56209014 * 0.5\nAnswer: 28104507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5179 - -5197. Solve 119 = m*b - 7 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4*g + g - 11 = 0, 2*g - 8 = 4*d. Let s = 570 - 566. What is the remainder when 7 is divided by (d - (-4 + 4)) + s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1876 is divided by 468.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -373*u + 361*u - 24 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a meter in millimeters?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 531690 and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q = 17*q - 64. Suppose 0 = q*s - 6454 - 1010. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(64)\/sqrt(2))\/sqrt(8))\/(sqrt(16)\/sqrt(2))*5.\nAnswer: 5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5198743279 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of r**8\/6 - 3*r**5\/20 - 27*r**2 + 6*r + 4. Let c(a) be the first derivative of q(a). Find the third derivative of c(w) wrt w.\nAnswer: 3360*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.05 - -0.05. Let s = -3 + z. Let m = -3.1 - -3. Which is the smallest value? (a) s (b) m (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/7 + 1 - ((-35504)\/392 - -101)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-138)\/(-46))\/(1\/14*6)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -o**4\/12 + o**3\/6 - 2*o**2 + 3*o. Let n be b(3). Let l = n + 15. What is the highest common divisor of 2 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6645)\/(-2658))\/(5\/(-24))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**2\/7 - 16522*l\/7 + 3715032\/7 = 0.\nAnswer: 228, 16294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddh when three letters picked without replacement from {d: 8, h: 5}?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 11:34 AM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10142 to the power of 1\/2, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 8*o**2 - 8*o + 13. Let f be n(7). Let a = 4 - f. Let g be a*(-1)\/(-1)*2. Sort 1, g, 4 in decreasing order.\nAnswer: 4, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3\/7 (b) 0.3 (c) 5 (d) -0.1 (e) -0.7086\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8224 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (-9 - -11 - 11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -139.241989 rounded to one decimal place?\nAnswer: -139.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1345, 2.\nAnswer: 0, 2, 1345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4664153 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 y(b) = -b**2 + 4*b - 3. Let h be y(4). Let g be (-2 + h\/(-2))*-2. What is the nearest to 0.1 in 2\/5, -4, g?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 40*w - 204. Let r be h(5). What is the lowest common multiple of ((-2)\/(-7))\/((4\/(-7))\/r) and 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 - 17 = 155*c - 158*c. What is the smallest common multiple of (-2 + -23)\/(-1) - 0 and c?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - p + 1 = 0, -2*p - 7 = m + p. Suppose 0*o - o = -m. Sort o, 4, -3 in increasing order.\nAnswer: -3, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60*j - 43*j + 86*j)*(3 - 2 - 2 + 0 - 1 + 13 + (-1 + 0 - 1)*(0 - 2 + 1)).\nAnswer: 1339*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of 0*q**4 + 30*q**2 + 0 - 1\/30*q**5 + 5\/6*q**3 + 0*q. Let n(a) = 2*a**2 - 6. Give -6*n(b) - 7*o(b).\nAnswer: 2*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q = 2*l - 1, 7*q + 20 = 12*q + 5*l for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 254.5496068 rounded to one dp?\nAnswer: 254.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -10. Let z = 571 - 570. Put a, z, 3, 1\/5 in ascending order.\nAnswer: a, 1\/5, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4200 divided by -28.\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -22.871 and 0.0556.\nAnswer: -22.8154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/13, 3, 3\/8?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11772 (base 15) to base 2.\nAnswer: 1101100110000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -19*s - 17. Let t be y(-7). Suppose t = 5*z - z. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 911, 912, 913, 914?\n\"Answer: o + 910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + 7*k - 1. Let w be u(-7). Which is greater: w or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54 - 96 - 2*f - 5*f**2 + 49)*((-4*f**2 + 3*f**2 - f**2)*(2 - 2 - f) - f**3 - 2*f**3 + 5*f**3).\nAnswer: -20*f**5 - 8*f**4 + 28*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(5))**2*-4 + (sqrt(180)*-2 - sqrt(5)))*6.\nAnswer: -480 - 78*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ifeiefemeffm. Give prob of picking 3 f.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3015333 - -4?\nAnswer: -3015325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a millennium in years?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-3*(sqrt(77) - sqrt(77)*-1) - -2*sqrt(77)*-1)\/(sqrt(35)\/(sqrt(20)*-5)))**2.\nAnswer: 640*sqrt(11) + 70416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000291112 rounded to seven dps?\nAnswer: 0.0000291","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v + 166 - 172 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2116790 - 1.2\nAnswer: 2116788.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0521 - 42.8479. Let s = w - -38. Let k = -5 - s. Sort -1\/2, 1\/4, k in ascending order.\nAnswer: -1\/2, k, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18857.\nAnswer: 109, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(192) - (sqrt(192) - (-2*-2*sqrt(192) - sqrt(192))))\/(sqrt(32)*-4))\/(sqrt(40)\/sqrt(5)*2 - sqrt(1440)\/sqrt(5)))**2.\nAnswer: 27\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -948*-0.06\nAnswer: 56.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**2. Let l(o) = -6*o**2. Let i be 4*-1 - (-2 + -1 + 0). Let p be (i\/1)\/(((-3)\/93)\/1). Suppose -26*n = -p*n - 25. Give n*l(r) - 16*d(r).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 262 + -266. Let f = 2 + -3. Sort y, f, 1\/6.\nAnswer: y, f, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -40, -54, -50, -22?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or 1415.9?\nAnswer: 1415.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - 2 + 0*c + 0*c)*(-6*c + 9*c**2 + 33 + 40 - 70).\nAnswer: -9*c**3 - 12*c**2 + 9*c - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1183304 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 0.5, -5, -0.5, -0.0145?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 345\/1495*4\/6.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5 + -33.1. Let d = g - -33. Let h = 0 - d. Which is the third biggest value? (a) -3\/5 (b) h (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*u - 7 + 7.\nAnswer: -9*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -7 * 0.002\nAnswer: -0.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 9*u. Let j be h(0). Do j and 146 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -17.68 and -3.\nAnswer: -20.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -7, -2\/243, -1249, 0.2, 3, 2?\nAnswer: -2\/243","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 4:41 PM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 64*z**4 + 158*z**3 + 262*z**2 - 479483754*z.\nAnswer: 768*z**2 + 948*z + 524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2044452 (base 9) in base 11?\nAnswer: 686823","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 7 = -5*g - b, 4*g + b - 2 = 0. Calculate the highest common divisor of g and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - z**2 + 2267388*z - 4 - 8 + 4*z**2 - 2267388*z.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -87*v**3 - 5*v**2 - 5*v - 2. What is s(-1)?\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/2*(2 - (-3 + 9)). Solve x*b - 11 = -5*m, -3*m - 15 = -2*b - b for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 3*u - 2500 = 0, 0 = 3*y - 17*u + 20*u - 1506. Suppose 0 = y*q - 499*q + 6. Solve -q*j - c + 6 = 0, -5*c + 7 = -5*j - c for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 71 + 1. Let a = v + -38. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2176989?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14290 + 68091 = 803*f for f.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3183\/10, 0.3, -2 in ascending order.\nAnswer: -2, 0.3, 3183\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/10 of a litre?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 10*f - 358. Calculate s(30).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 151*l + 8. Give g(1).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 0, -4*p = -p - 4*f. Let j = 3 + -2. Let z = -0.03 - -0.43. What is the closest to j in -0.1, z, p?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o + 69. Let j be d(-22). Suppose 2\/5*b**j + 0*b**2 + 0 - 2\/5*b = 0. Calculate b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 4*t + 1 = 25, 4*i = 4*t + 20. Suppose -i*n + 0*x + 12 = 3*x, 4 = x. Suppose 5*a + 2*y = y + 2, -2*y + 4 = n. Solve 4*q - 3 - 5 = a for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -7*r**3 - 697*r**2 + 295*r - 276. What is the remainder when 3807 is divided by i(-100)?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 7) to base 3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 9*w**2 - 5*w + 10. What is k(-8)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 938034.8 microseconds?\nAnswer: 938.0348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 16*x**2. Let s(b) = 26*b**2 - 28*b - 268. Calculate s(z(v)).\nAnswer: 6656*v**4 - 448*v**2 - 268","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != 1436?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 61 - b?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56996 and 72.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18*10\/(-135))\/(52\/(-6)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and -16788009?\nAnswer: 100728054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 - -26. Let h(r) = r**2 - 2*r + 3. Let f be h(3). Let i = f + t. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, 4\/9, -96\/5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6843 is divided by 490?\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -11 + -11 + 26\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x**3\/5 - 408*x**2\/5 + 37236*x\/5 - 982288\/5 = 0. What is x?\nAnswer: 58, 292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3.36, 4\/5, -3, -1\/2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5412.346 centuries to months.\nAnswer: 6494815.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/111, 1352, -4, 5, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -267 (base 14) to base 8\nAnswer: -743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-36)*-3*24\/(-10)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -m + 8. Let j be (-98)\/(-126) + m\/9. What is the tens digit of j\/(3 + 1) + (-1605)\/(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*j**4 + 62*j**3 - 57*j**2 - 48*j + 4 = 0. What is j?\nAnswer: -2, -2\/3, 1\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 8*q**2 - 3*q. Let v be k(8). Let g = v - -15. What is the units digit of ((-14)\/(-6))\/((-3)\/g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -56*k**2 - 6*k + 1. Let a be b(-3). Let v be (-30)\/((-147)\/(-153) + -1). Let z = a + v. List the prime factors of z.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -11*y**2 - 1676*y + 313. What is the tens digit of t(-135)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*c - 175*c - 33 = -t, -4*c - 28 = -0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -69*n**4 + 13 - 4 - 1305961*n + n**2 + 1305962*n - 457*n**4 in the form g + j*n + o*n**4 + s*n**3 + a*n**2 and give g.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1179437 or 1179324?\nAnswer: 1179437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*j + 8*j = -8406. What are the prime factors of j?\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 478568?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**2 - 3*a**2 - 3*a**2 + 7*a**2 - 200*a.\nAnswer: -a**2 - 200*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84 and 478212?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 237*k*m*x**3 - 3*k*m - 6*k*x**2 - 5*m*x**3 + m*x - 1307*x wrt x?\nAnswer: 1422*k*m*x - 12*k - 30*m*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 12 + 9. Let k(y) = -y. What is k(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 95 + -89. Suppose v = -5*y - 5*r + 1, 3*r + 11 = -y. Let k(b) = 16*b**3 + 9*b**2 - 3*b + 7. Is k(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 0, -7*c + 3*c = -f + 2. Let z be (f*(1 + -2))\/(-2). Let l = 2 + 1. Is z equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rh when two letters picked without replacement from hmhhrmhhhrmrhrhh?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 1\/4, 3167, -0.3, 5\/3 in descending order.\nAnswer: 3167, 9, 5\/3, 1\/4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 705 divide 508625411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 21*u**2 + 22*u + 117. Determine j(22).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(153) + 2*sqrt(153)*-1 - sqrt(153)) + sqrt(153))*-6)\/(sqrt(729) - (sqrt(729) - (sqrt(729) - (sqrt(729) + (sqrt(729) - -2*-1*sqrt(729)))))).\nAnswer: 2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.4 - -0.4. Let x = -0.01 - 0.39. Which is the nearest to y? (a) 0.2 (b) 0 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - -9. What is the remainder when g is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - 29*g - 158. Determine w(-13).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.07 - -0.33. Let x = 4.06 + -4. Let v = x - 0.16. What is the nearest to v in o, -4, 0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-5) - 18\/(-5). Suppose 2*k - p*i = -0 + 4, -5*k + 1 = -i. Suppose -4*d - 3*c + 335 = 0, -d - 2*d + 5*c + 244 = k. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 30\/(-75) + 482\/5. Suppose -4*z - 4*z = p. Let y be (-188)\/z - 6\/9. Solve -y = -0*r - 5*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (sqrt(847) - (sqrt(847)*1 - sqrt(847))) + (sqrt(847) + 1)*-1)**2 - (sqrt(84)\/(-5*sqrt(12)*3)*3)**2) + 0.\nAnswer: 18\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 297 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirteen fifths of a millennium?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2c11d + c?\nAnswer: -2c111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = o + 5*c - 4, 2*o + c = -7 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 55235718 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) -13 (b) -1\/7 (c) -0.5 (d) 1 (e) 48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1889648 times 0.1?\nAnswer: -188964.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 less than 269450?\nAnswer: 269407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 548906933 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 23*-0.2927\nAnswer: -6.7321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (213\/5254)\/(6\/8). What is the third biggest value in i, 4, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 7 + (-1 - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 t when two letters picked without replacement from yntnybwnnyyyotn?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**2 - b + 3. What is i(3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -16*n + 11. Let m(z) = -3*z + 2. Determine 2*b(q) - 11*m(q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*i + 3*i - 3*i)*(3 - 3 - i**2)*(0 - 3 - 5)*(1 - 1 - 1) in the form y + m*i**2 + b*i**3 + p*i and give b.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -49*p**2 - 3*p - 253?\nAnswer: -98*p - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + q - 2*q)*(-236*q + 149*q - 32*q**2 + 33*q**2).\nAnswer: -q**3 + 87*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 2*l**2 - 3*l - 4. Is r(-3) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -15*v**2 + 3*v - 4. Let t(o) = -8*o**2 + 2*o - 2. Determine -5*t(n) + 3*w(n).\nAnswer: -5*n**2 - n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -608.\nAnswer: -608, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 82 + 0 = 8*i - 57, 11*y + 4*i = -443 for y.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4441, -16761, -37295, -66043, -103005, -148181?\nAnswer: -201571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-28))\/((8\/4)\/8)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10045?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*-2.65.\nAnswer: 18.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 344314 is divided by 67?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 574489, 2298002, 5170535, 9192088, 14362661?\n\"Answer: 574510*y**2 - 17*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 9*(238\/(-1989))\/7\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.14 + 0.2. Let d = -0.02 + i. Let n = 0.02 - d. Which is the third smallest value? (a) 2 (b) 5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 455.5 + -457. Is 6\/5 at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 7*m**2 - 2*m - 4. Let w be ((-35)\/(-10))\/(2\/(-4)). What is the units digit of h(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of g**8\/24 - 2*g**7\/7 + 2*g**6\/15 + 75*g**2\/2 + 8. Let s(c) be the second derivative of z(c). Solve s(w) = 0.\nAnswer: 0, 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z + 28*z**3 + 4*z - z.\nAnswer: 28*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 5051?\nAnswer: 5054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -7*g**2. Let h(m) = 6*m. Let z(p) = -31*p. Let o(q) = 22*h(q) + 4*z(q). Determine b(o(r)).\nAnswer: -448*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4126 + 1732. Let n = -90967\/38 - l. Let x = n + -547\/114. Find the common denominator of -43\/26 and x.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 4:10 PM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4)\/((-176)\/8396) + 2\/11 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12936*x - 7*x**2 - 10771*x + 23707*x.\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/3 - 7587724*d\/3 + 22763199.\nAnswer: -(d - 9)*(d + 7587733)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 115\/(-10) + 1\/(-2). Let t be 40\/q*6\/(-4). Suppose 0 = p + 2*p - 3*y + 9, -9 = 4*p - y. Sort p, t, 1.\nAnswer: p, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of 0 - 9*f + 0*f**5 + 1\/6*f**6 - 3\/2*f**2 + 0*f**3 + 0*f**4. What is the derivative of m(y) wrt y?\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 5*p - 4. Let v(d) = d. Let c = 494 + -495. What is c*s(l) + 6*v(l)?\nAnswer: l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 6 + 26 = 0. Let u(s) = 9*s + 2. Let q(g) = -6*g - 1. Let r(n) = z*q(n) - 5*u(n). Let w be r(5). Solve 5*v = w + 12 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -240 rounded to the nearest 10?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -233 - -1632\/7. What is the closest to 8 in -4, 3\/8, x?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11343\/1990)\/(6\/40)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 2:33 PM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/sqrt(8))\/(sqrt(35)\/(sqrt(14)\/sqrt(2))).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 5*y - 20. Suppose 2*r - 31 = -y*o - 0*o, 4 = -2*r + 2*o. Suppose b = -4*b + r*q + 36, -5*q + 60 = 5*b. Does 7 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 847159 from 0.33.\nAnswer: -847158.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**4 + 108*t**3 + 441*t**2 - 9636*t + 21780 = 0. What is t?\nAnswer: -22, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 53 + -7 - (1 - 1 - (15 + -9)). Solve 6*q - o + 34 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -232131332 + -1?\nAnswer: -232131333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 10) to base 6.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4*z = -27 + 123, -3*z + 99 = -k. Let p = k - -331. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -4*g - 99. Let i be t(-24). Let a(c) = c - 1. Let k(d) = -d**2 + 2*d. Determine i*a(y) + k(y).\nAnswer: -y**2 - y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.125 + 1.075. Suppose 6*r - 25 = r. Which is the smallest value? (a) r (b) y (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-5376)\/70)\/((-3)\/10). Suppose -q - 419 = -4*z + 86, -2*z + 4*q + c = 0. List the prime factors of z.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3182540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 + 9*t + 41. Let h be k(12). Suppose 4*n - 3*n + 3*w = -3, h*w + 19 = 3*n. Solve 2*i + 15 = -n*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-9)\/5)\/(27\/(-90)). What is the highest common divisor of i and 192?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1147 and 28647583.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g**4*n - 6*g**4 + 634*g**2*n + 8783*n wrt g.\nAnswer: 4*g**3*n - 24*g**3 + 1268*g*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*x + 21*x - 5*a + 10, a = 2*x + 2 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 26463 - -ad?\nAnswer: 26532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3*r + 6 = -6*a, 0 = -5*a - 4*r - 11. Suppose 4*o + 0*o + 20 = 0. Sort o, a, -4 in ascending order.\nAnswer: o, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 - 5. Let o be 1\/(-2) + (-1130)\/f. Suppose 0 = -2*z - 2*z + 3*b + 122, 2*z = 4*b + o. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 384506?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 0, -1\/2, -62, -85.1, -0.4.\nAnswer: -85.1, -62, -1\/2, -0.4, 0, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1764263 (base 8) to base 2\nAnswer: 1111110100010110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-3))\/(6*8\/576).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + 7 - 2)\/1. Suppose d*v + 9 = 0, -5*g - 2*v + 44 - 120 = 0. Let k = 14516 + -14519. What is the closest to 0.2 in 2\/5, k, g?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1*(-62152)\/(-40) - ((-58)\/(-10) + -5) is divided by 478.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 27 = -21. Suppose 12922 = 4*f - k*r, 12*f = 11*f - 4*r + 3217. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 298 - 295. Suppose -4*o - 41 - k = 0. Let y(v) = -v**3 - 10*v**2 + 11*v + 3. Determine y(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) 6\/23 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4*f + 88 = 0. Suppose 0 = 3*i - f + 8. Suppose -164 = -4*p - 20. What is the greatest common divisor of i and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by 13871144.\nAnswer: 1\/1733893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than -14910923570755?\nAnswer: -14910923570755.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 2. Suppose h*v - 42 = -2*f + 20, 5*f - 167 = v. Let j = 70 - f. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 307 = -5*k - 2*r, -3*k = r - 193. Suppose 0*w = -5*w + 35. What is the greatest common factor of w and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*3\/(-6))\/((13*256\/(-416))\/(-496)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ossw when four letters picked without replacement from oowowssw?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49375?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -131552 - 0.8.\nAnswer: -131552.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1276*v + 1272*v + 63 = 3*l, 49 = 2*v + 5*l for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ke when two letters picked without replacement from mbkmekmemekmme?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 9*y - 15. Let c be z(2). Suppose 5*r = -4*b - 396, -424 = 2*b + 2*b - 2*r. Let q = b - -938\/9. What is the second smallest value in q, 0.3, c?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 372078900?\nAnswer: 2, 3, 5, 19, 7253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 158.8 - 158.8. Let u = 0.02 + -2.02. What is the nearest to 7 in a, 0.3, u?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 1 = 8 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - 2*g**2 + 4 + (2*g + 2*g - 3*g)*(g - g - 3*g) + g**2 - 34*g**2 - 42*g**2.\nAnswer: -80*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3311336 and 2436.\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.5311 rounded to 2 decimal places?\nAnswer: 17.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by 53033.\nAnswer: -15\/53033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 3736314274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 109823665 a multiple of 2549?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68623221.\nAnswer: 3, 22874407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -6*k**3 + 6*k**2 - 5*k + 4. Let j(n) = -444*n**2 + n**3 + 149*n**2 + 152*n**2 + n + 142*n**2. What is -d(q) - 4*j(q)?\nAnswer: 2*q**3 - 2*q**2 + q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5741660.\nAnswer: 2, 5, 37, 7759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -201, -187, -165, -135, -97, -51?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-368)\/(-34) + 8814\/49946?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2606703019.\nAnswer: 29, 97, 709, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-26)\/6*(-132)\/1. Suppose -3*c + m = c. Calculate the greatest common factor of 13 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 707.27501\nAnswer: -141.455002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -2*k - 2*k**2 - 2\/3*k**3 + 3. Factor c(z).\nAnswer: -2*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -8*f**2 + 2*f + 20. Give x(-6).\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**2 + 16*a. Let r(h) = 31*h - 72. Let k(f) = -61*f + 156. Let t(v) = -6*k(v) - 13*r(v). What is l(t(q))?\nAnswer: 2738*q**2 - 592*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10192 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**8*a**(-6\/5)*(a**2*a)**(4\/11) assuming a is positive.\nAnswer: a**(434\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*v - v - 2*v)*(4 + 1 - 2)*(-2 - 2 + 0)*(-2*v**2 + 6*v - 6*v) in the form c*v + d*v**2 + h + m*v**3 and give m.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/(-4) + 1)*(11 - 1). Let p be (s\/(-3))\/(20\/24). Solve -3*a + 18 = 3*m, -p*a - 2*a = -5*m - 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.07483 + 7485.92517. Let d = l - 7436.79. Round d to the nearest integer.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1039220417?\nAnswer: 1039220417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t + 4*u + 12, -5*t + 60 - 66 = 2*u for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26617 a multiple of 133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 4*v + 5*x - 65, 2*v = -4*x + 24. Solve 4*k - v = 0, 5*k - 7 - 3 = -a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.842734 days to microseconds.\nAnswer: 245612217600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*z + 1840 = -62*z - 61*z - 61*z for z.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a + 5*o + 13, -1510 + 1419 = 4*a + 7*o for a.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 40 + -3*(-40)\/(-24). Calculate the greatest common factor of 15 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14706549 divided by -3\nAnswer: 4902183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 54.2 in -21, -1\/6, -0.07, -4\/3, 0.2, 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*h**3 + 4*h**2 - 4*h**2 + (0*h - 2*h + 4*h)*(4*h - 4*h - h**2))*(-3*h - 223 - 9*h**2 + 223).\nAnswer: 81*h**5 + 27*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 44790*j - 134384. Give f(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/(-30))\/(2\/(-10)). Suppose 0 = 2*f + 3*f + 3*p - 21, 5*f = p + 13. Solve f*m = -d*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - 12*h + 5. What is d(-14)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 1303*u**2 - u + 2. What are the prime factors of l(1)?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -8. Suppose 5*t = -5*c, 0*t = -t + 2*c + 6. Let p be (-5)\/t + v\/2. Put p, -5, 0 in decreasing order.\nAnswer: 0, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23 + 82 - 19 - 43) + -122 + -2 + 0.\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.43 + 0.03. Let v = -0.9 - q. Which is bigger: v or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 5*i - 75, -5*t + 3*i = 4*i - 255. Calculate the greatest common factor of 175 and t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*-3*(-3)\/9. Let p(l) be the second derivative of l**4\/12 - l**2\/2 + 3*l. Let o be (3\/2)\/3*14\/(-7). Let j(q) = -2*q**2 + 2. Calculate f*p(z) + o*j(z).\nAnswer: -z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 d when two letters picked without replacement from {m: 1, d: 1, t: 4, g: 1, a: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2*k - 4*q = -90, -2*k = 2*q - 58. List the prime factors of k.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 752.27356 - 752. What is h rounded to 2 decimal places?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -17 and -3828.\nAnswer: -3845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**3 - 201*l**2 - 3287*l - 574. What is g(-80)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 121, 138, 141, 124, 81, 6, -107?\n\"Answer: -r**3 - r**2 + 27*r + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, 2, 20, -0.2, -2.\nAnswer: -2, -0.2, 3\/8, 2, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -33, 3, -2, 122 in descending order.\nAnswer: 122, 3, -2, -9, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2*o = -2*o - 52, 2*f + 3*o - 21 = 0. What is the units digit of (8\/12 - 0)*f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34269 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 122.856 * 1.32.\nAnswer: 162.16992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 40*i + 609. Is n(10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 3*j**2 - 5*j - 5. Suppose -3*b - 2*b + 15 = 0. Suppose 2*w = 3*z - 69 + 25, -b*z + w + 43 = 0. Suppose -z + 34 = -5*r. Determine y(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**2\/5 - 24*s\/5 - 72\/5 = 0. What is s?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + b + 527824*b**3 - 527828*b**3 + 0 + 2 - b.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -130657, -522633, -1175927, -2090539, -3266469?\n\"Answer: -130659*s**2 + s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0394544775 rounded to 6 dps?\nAnswer: -0.039454","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y - 140 = -2620*k + 2618*k, -5*y + 38 = 4*k - 6*y for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2 - 50*j - 272.\nAnswer: -2*(j + 8)*(j + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 5*y + 1. Let f be n(-7). Let s be -6*3\/f*5. Calculate the common denominator of ((-21)\/(-18))\/(9\/s) and -38.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -335 (base 10) in base 4?\nAnswer: -11033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171598 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2733 + 2733 - 3*h**2. Let w(q) = -29*q**2 - 34*q**2 + 27*q**2. What is w(i(c))?\nAnswer: -324*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b\/(b\/((b*b*b\/b**(-2\/3))\/b))*b)\/(b**(-2\/31)\/b))**(14\/9)\/((b\/(b**0\/b))**10)**(-5) assuming b is positive.\nAnswer: b**(92464\/837)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-6\/11)*s**1)\/(s*s**(1\/4)\/s*(s\/(s*s**(3\/4)))\/s))**(-2\/81) assuming s is positive.\nAnswer: s**(-43\/891)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 410127273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (116\/1885)\/((-1)\/15)\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -a**4\/12 - a**3\/3 + a**2\/2 + 2*a. Let m be b(-4). Let y = -5 - m. Solve y = n + 7 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11258 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3433 is divided by 1714?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 2:13 PM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -16*u - 3. Let i be f(-2). Let y = i - -7. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1936) + (-1*sqrt(1936) - sqrt(1936) - sqrt(1936)) + sqrt(1936))\/(sqrt(48)\/sqrt(54)) + -2)**2.\nAnswer: 132*sqrt(2) + 2182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -72323 divided by 4\nAnswer: -72323\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 999 divide 52136297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 7*n**2 - 2*n + 16. Let q be b(7). Solve q*g - 10*g = -40 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22018, -93595, -214726, -385411, -605650, -875443?\nAnswer: -1194790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.1 (b) 55 (c) 4 (d) 11 (e) -3\/8 (f) -4 (g) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 4 - (-3 + 4 + 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 856 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l - 2*l - 234 = 0. Suppose 3*b - l = -s, -5*b = s - 2 - 38. Sort b, 6, 0 in decreasing order.\nAnswer: b, 6, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6803, -7009, -7219, -7433, -7651, -7873?\n\"Answer: -2*y**2 - 200*y - 6601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -57894676 or -57894673?\nAnswer: -57894676","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -494217231 + 0.4.\nAnswer: -494217230.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3752 and 3886.\nAnswer: 108808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 30*v**3*w*x + 47*v**3*x - 6129*v**3 + 8074*v*w*x wrt w?\nAnswer: 30*v**3*x + 8074*v*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than 0.030369408277357?\nAnswer: 1.030369408277357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 382.8, 2\/9, 0.5, -1\/9, -2\/11 in descending order.\nAnswer: 382.8, 0.5, 2\/9, -1\/9, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/3)\/(4\/(-18)). Let i = 3 - r. Let z(u) = -u + 2. Let s be z(i). Calculate the highest common divisor of 55 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-25))\/((-18)\/((-2070)\/253))?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-78)\/9*(-3)\/2. Let r = 18 - g. Calculate the smallest common multiple of 4 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/5 (b) 315135\/2 (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -3c1?\nAnswer: 3c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 - 24.89. Let g = -3.11 + b. What is the second smallest value in -0.1, -0.06, g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2740*62290\nAnswer: -170674600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - 1. Give u(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(153)*2)**2 - (3 + -1 + sqrt(153))) + -5 + (2 + -2*sqrt(153) + sqrt(153) + sqrt(153))**2.\nAnswer: -3*sqrt(17) + 1221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17\/60 - 1\/30. Let t = 0.21 - 0.15. Let f = -0.41 - -4.41. Put u, f, t, -4 in descending order.\nAnswer: f, u, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 7:59 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one tenth of a second?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7620289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2565542*k. Let u(v) = 11*v**2. What is u(m(r))?\nAnswer: 72402063291404*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 25 + 225 = 0. Suppose v = 68 + b. Suppose j + g - 51 = 0, -v + 365 = 5*j + g. What is j rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5550362 (base 7) to base 4\nAnswer: 2213012330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -344347579*c**2 - 40016*c - 95?\nAnswer: -688695158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5389, 5442, 5527, 5644?\n\"Answer: 16*i**2 + 5*i + 5368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 2*c + 35. Determine j(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 0. Let d = k - 5.04. Let n = d - -0.04. Which is the closest to 0.1? (a) n (b) 1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 355543 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4183727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4828254045?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**3 + x**3 + 13836 - 27680 + 13844.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3 + 6492*u**2 + 6489*u.\nAnswer: 3*u*(u + 1)*(u + 2163)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.5 (b) 5 (c) -0.5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -5.3. Let q = -107.8 + 119. Let p = q + k. What is p rounded to zero decimal places?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -650001*z**2 - 2*z - 6. Let k be c(-1). Round k to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/7, -7\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -700, -26, 3, 5, 0, -1 in descending order.\nAnswer: 5, 3, 0, -1, -2, -26, -700","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3096 - 3108. Let c = -5.6 - -5. Let a = c + -2.4. Which is bigger: z or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 8*c**2 - 749*c - 2992. What is the least common multiple of 699 and r(-4)?\nAnswer: 30756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vqddddddddrvvrq.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 5:38 AM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99 - 8*q - 46 + 1111.\nAnswer: -8*q + 966","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6.4261 * -0.5\nAnswer: -3.21305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4366 is divided by 78.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -7*h**2 + 395*h - 1933. Give d(51).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1202?\nAnswer: 2, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13022, 45590, 97704, 169364, 260570, 371322?\nAnswer: 501620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131106788.\nAnswer: 2, 17, 1928041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, n: 6, l: 2, e: 3, r: 3}. Give prob of sequence rr.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-3)*g)**39\/(g*g\/(((g*g*(g*g*(g\/g**4)\/g*g*g)\/g)\/g)\/g)*g)**(-22))**(2\/9) assuming g is positive.\nAnswer: g**(98\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 913\/7 + -3645\/28. Which is the biggest value? (a) 5 (b) l (c) 0 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4655105 times -1?\nAnswer: 4655105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -3*n + 16. Let w be s(11). Let o = -13 - w. Suppose 5*m + o*x + 174980 = 9*x, 0 = -4*m + 5*x - 139980. Round m to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 11) to base 6\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -5\/4411 = -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6542550 and 7998.\nAnswer: 281329650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 20 = -18*m + 14*m, 25*m = 4*o + 67 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 126 = -6*d. What is the least common multiple of d and 16 + 0\/(0 + -2)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5589511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t - 8. Suppose 2*d + 4*h = 26, 4*h - 8 = -d + 3*h. Let x(q) = q - d*q + 3 + 3*q. What is -3*l(v) - 8*x(v)?\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -3\/10 (c) -9928\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 12*z**2 - 2*z - 2. Let a(f) = 35*f - 215. Let r be a(6). Let g(x) = -3*x**3 - 25*x**2 - 5*x - 5. Determine r*w(s) + 2*g(s).\nAnswer: -s**3 + 10*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 + 58 = g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1461005878454 - -647\nAnswer: -1461005877807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, -24, -0.1, 3 in increasing order.\nAnswer: -24, -4\/3, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of -5*u**4 - 1\/5*u**5 - 107*u - 48*u**2 + 0 - 76\/3*u**3. Factor h(w).\nAnswer: -4*(w + 1)*(w + 2)*(w + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-69)\/12)\/((-109)\/(-436))*-1\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 742 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**4\/6 - 557*y**3\/2 + 5023*y**2\/6 + 557*y\/2 - 837 = 0.\nAnswer: -1674, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g**3*z**2 + 2*g**3*z + g**3 + 40*g**2*z**2 + 747*g*z + 2*g + 5*z**2 wrt z.\nAnswer: 4*g**3 + 80*g**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (133 - 132)*(-3)\/15.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + 54*p - 423. Let i be f(-61). Which is the smallest value? (a) -0.3 (b) -0.1 (c) 5\/24 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7035754 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.206 + 0.20599615. Round o to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*(-253 + 253 + 17*f + (-3 - 2 + 3)*(0*f + f + 0*f) + f + 4 - 4 + 54*f + 55*f - 71*f) + 0*f - f + 2*f.\nAnswer: 55*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30873, 30861, 30835, 30789, 30717?\nAnswer: 30613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-196)\/(-84)*(-5484)\/(-56). Which is smaller: x or 228?\nAnswer: 228","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 33*p**2 - 4*p - 13. Is g(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**7\/(n\/n**3)*(n*n\/(n*n**(-6)*n)*n)\/(n*n\/(n\/((((n**(-2\/11)\/n)\/n*n)\/n)\/n)))*(n**2)**(2\/9)\/(((n\/(n**(2\/3)\/n)*n)\/n)\/n)**(-3\/8) assuming n is positive.\nAnswer: n**(14851\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z**2 - 7*z + 5. Does 17 divide d(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 732*m**2 - 34*m + 15 wrt m.\nAnswer: 1464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 160\/48*6\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 194543 + -13184543. Round x to the nearest 100000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6, g: 2, i: 3, p: 2}. Give prob of picking 3 b.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 3*y**2 + 8*y - 5. Let a be w(-7). Suppose u + u = 5*l - 81, -3*l + 57 = -4*u. What is the greatest common divisor of l and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (364\/72)\/((-1757)\/1004)?\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o**3 - 3*o**2 + 3*o - 3. Let y be (0\/(-3) - 1) + 2. Let s(d) = d - 1. Let r(z) = y*m(z) - 3*s(z). What is the third derivative of r(p) wrt p?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22793932 is divided by 536.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 175 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 1577*p = -1581*p + 94, -1 + 46 = -3*y + 2*p for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**5 + 4*x**5 + 4*x**5 + (x**2 - x**2 - 2*x**2)*(-x + 0 + 0)*(58*x**2 + 11*x**2 - 19*x**2).\nAnswer: 105*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.6 + 5.6. Put 4, 0.4, z, -2 in decreasing order.\nAnswer: 4, z, 0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -268*i + 8*i - 306*i + 7924 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = 4*a + 78. Let l = a + 34. Suppose l*j - 3*j = -4*i + 2695, 0 = -3*i - 4*j + 2015. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 441 is divided by 65?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3812 is divided by 1269.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 11554 (b) -2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 1444 and 3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 14198007 to the power of 1\/2, to the nearest integer?\nAnswer: 3768","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 14215da + -1f?\nAnswer: 14215bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2 - 19. What is the greatest common divisor of w and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 10. Suppose -n*g = -266 - 90. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 162, 54, -96, -288, -522, -798?\n\"Answer: -21*r**2 - 45*r + 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r - 20. Let i(g) = 12*g - 9. Determine -5*i(c) + 2*n(c).\nAnswer: -56*c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -535226865*b**5 + 12543*b**2 - 16619?\nAnswer: -32113611900*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11927 is divided by 11916.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -5\/6, 11, 5\/3?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -258 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 423 - 192. Suppose 3*h - 226 = h - 2*k, 2*h = -k + v. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 + 28. Solve 4*w + 3*p + 23 = k, 2*p - 5*p - 15 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -2 + sqrt(14)\/sqrt(2).\nAnswer: -4 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 divided by -5?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 4\/11, -3, 1.2, -0.05, 1, -38?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 5*y - 100. Give f(11).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (9 + -7) - 3 - 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from eeeeabpi.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, 4\/3, -5, 1\/7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -906, -939, -992, -1065, -1158, -1271?\nAnswer: -1404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p**2 - 2*p**3 + 22 + 30*p**4 - 63 + 4 + 23 to x*p**4 + b + v*p**3 + q*p**2 + k*p and give b.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-3))\/(16\/(-72)). Let a = o + 5. Let x(f) = -f. Let c(g) = 2*g. Let u(n) = a*c(n) - 4*x(n). Let r(b) = 7*b**2. Calculate u(r(i)).\nAnswer: 14*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -9. Suppose z - 5*z + 16 = f. Suppose -4*x = z*v - 20, -v - 5*x = -0*x + 7. Is 3 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 - -27. Suppose -28 = 7*i - c*i. Let h be 7*4\/i*10\/4. Solve p + h*o - o + 18 = 0, p - 4*o = 14 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**4 + 3 - 4 - 24*u**3 + 29*u**3 - 2*u**2 to p*u + b*u**3 + j*u**2 + m + q*u**4 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -6*t + 11*t + 5, 2*o = -t - 1. Let z = 470 - 470.5. What is the closest to 2\/5 in -1\/3, -5, t, z?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2 (b) 8 (c) 0.012\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s - 7*s**2 + 0*s - 10*s**2 to the form r*s**2 + m*s + y and give r.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**2\/5 + 24073404*a\/5 - 57776256 = 0. Calculate a.\nAnswer: -8024480, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -7. Let x be ((-15)\/6)\/(w\/(-4)). What is the common denominator of -5\/6 and (2\/(-4))\/(8\/x)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -4*r. Let t(d) = -153*d - 1. Give m(t(l)).\nAnswer: 612*l + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 13 = 11. Solve 4 = -i - g for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m = -6*m - 176. Calculate the least common multiple of 16 and m.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 99200 to the nearest one thousand.\nAnswer: 99000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 515264745.\nAnswer: 3, 5, 23, 113, 13217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 2:18 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d + 4*k + 5 + 11, 10*k = -3*d - 38 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 385*c**6 + 392*c**2 wrt c?\nAnswer: 46200*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 752?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -183*k + 906. What is n(3)?\nAnswer: 357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-13)\/(-5) - (-2)\/5. Suppose -13*w + 47 = 26*w - 109. Is -127*d\/(w + -7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 7\/2. Sort 2\/7, 1, p in decreasing order.\nAnswer: 1, p, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of -w**5\/5 - w**4\/24 + 19*w**2 + w. Let o(m) = m**2. Give o(n(q)).\nAnswer: 144*q**4 + 24*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 65, 0, -166 in decreasing order.\nAnswer: 65, 0, -166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11212210120 - 111?\nAnswer: 11212210002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35.364 - 29.489. What is o rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -395, -0.03, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 674901?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4701622 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/10 and 81\/266?\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 6813*q + 30 = -6812*q, -5*p - q = 20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -25197\nAnswer: 100788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15584 + -16232. Is r not equal to -649?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -4.4. Let n(f) = -f**3 - 8*f**2 - 12*f - 42. Let w be n(-7). Which is the biggest value? (a) -5 (b) w (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 89 and 0.5.\nAnswer: 44.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -434, -424, -414?\n\"Answer: 10*s - 444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 1331*o - 2641*o + 1333*o. Let m(q) = -4*q**2 - 50*q. Give m(t(k)).\nAnswer: -2116*k**2 - 1150*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 - 36*d**3 + 37*d**3 + d**2 - d - 3 + 2 to k*d**2 + a*d + f + v*d**3 and give f.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 14387968 to the power of 1\/3, to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 137096709 to the nearest integer?\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.48+-40\nAnswer: -39.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 19*a**2 - 33*a - 5. Let i be x(17). What is the third derivative of -96*y**3 + i - 32*y + 2*y**2 - 12 wrt y?\nAnswer: -576","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, 0.059, 0.052?\nAnswer: 0.052","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of -o**2\/2 + o - 12. Calculate x(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (200\/(-9600))\/((-2)\/(-4)).\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 332*w + 6. Let t(s) = 196209*s + 3549. Give 1183*l(d) - 2*t(d).\nAnswer: 338*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 0.2, -0.5.\nAnswer: -10, -0.5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -w**4 - 20*w**3\/3 + 66*w**2 - 108*w - 203. Suppose u(d) = 0. What is d?\nAnswer: -9, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, o: 11}. What is prob of sequence joj?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/18)\/((-24)\/1620*-50)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 0 - 8) + 12 + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 5126963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g*g**(-1\/6)*g))\/g**(-2\/3)*g\/(g\/(g*g**(1\/6)\/g))*g*g**(6\/7)*(g\/g**(-5\/3)*g*((g*g**(4\/9)*g*g)\/g)\/g*g)**(-46) assuming g is positive.\nAnswer: g**(-17656\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 19. Let d = r - 12. Which is the biggest value? (a) -1\/5 (b) d (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 12, 23, -1, -2?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 39*j**2 - 61*j - 657. Determine h(-41).\nAnswer: -1518","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6 (b) -2 (c) -1 (d) -2\/11 (e) 3.3 (f) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3537723?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -u**5\/50 + u**4\/6 - 8*u**3\/15 + 4*u**2\/5 + 5*u - 6. Let j(v) be the first derivative of b(v). Factor j(t).\nAnswer: -2*(t - 2)**2*(t - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11301353 (base 7) to base 14\nAnswer: 1bb7d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + s + 2*s + 3 = 0, -3*s - 8 = 4*c. Let x(m) = m**2 + 4*m + 5. Let b(o) = o**2 + 2*o + 3. What is c*b(y) + 3*x(y)?\nAnswer: -2*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*r - 265 = 2*w, 7*w - 7 - 5 = 16 for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of r**8\/756 + 2*r**7\/945 - 4*r**6\/135 - 4*r**5\/45 + 31*r**2. Factor x(v).\nAnswer: 4*v**2*(v - 3)*(v + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1877 = 2*y + 363. What is the tens digit of ((y\/24)\/10)\/((-1)\/84)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5396 - 5394. Let t(f) = -3*f**3 + 2*f + 2. Let z(n) = -n - 2*n + 2*n. Determine p*z(i) + t(i).\nAnswer: -3*i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 5, -89, 2, -2, -173, 1.\nAnswer: -173, -89, -2, 1, 2, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(((-425)\/10)\/17)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -7. Solve -7*y + 2*y = c*d + 8, d = -y - 2 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 2*w + 6 = 22, s + 4*w - 11 = 0. Suppose 0 = -s*h - h + 24. Calculate the common denominator of 3\/h*61\/2 and 50\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - -1 - (3 - 2). Let d be l*(1 + (-32)\/(-4)). What are the prime factors of ((-2)\/6)\/(d\/351)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -1444*x + 1446*x + 2, 9*x - 4*n + 43 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -108820, -217673, -326526?\n\"Answer: -108853*o + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 11) in base 2?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 2. Let c(l) = -13*l - 12. Let k be c(-2). Let 4 - 2*r**2 + 9*r**i - 8*r**3 + r**2 + k*r = 0. Calculate r.\nAnswer: -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 823413 less than or equal to -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Is 683897314 a multiple of 387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 492380764.\nAnswer: 2, 123095191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*p**5*r - 3*p**2*r**3 + 2*p*r**3 + 311*p*r wrt p?\nAnswer: -120*p**3*r - 6*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 - -21. Suppose -3*b - j*l + 21 = -5*l, -8 = 4*l. Suppose -85 = -b*x + 40. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 4*z = 6, v + 2*z - 5 = -3. Differentiate -4 - b**4 + 6 + v with respect to b.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42256720 and 46098240.\nAnswer: 507080640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 913 + -853. Let t be (w + -58)*205\/2. Which is smaller: 207 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 468 + -281. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -5*y**2 - 2\/3*y**3 + 0 - 1\/12*y**4 + 0*y + 1\/20*y**5. Let d be g(-2). Solve -3*t - d = -7*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from {w: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 52*p**2 - 38*p + 79. What is x(2)?\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-6)*(-262 + 1). Suppose 14 + 29 = 2*k + o, 3*o = -4*k + y. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210256744 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + v - 70. Let z be x(0). Let q be z\/35 - 5\/(-1*1). What are the prime factors of (3 - (-6)\/q) + 157?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 814*h = 938*h + 1860 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1127 - 663. Suppose -a + p = t, -4*a + 9*a = 5. What are the prime factors of t?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 9*h**2 + 3. Let s be m(9). Determine n, given that -7*n**4 - 4 + 6*n**s + 2*n**2 + 12*n**4 - 3*n**4 - 6*n = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*c + 27*c + 4 = -5*z, -184 = z - 91*c for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30248 - -30177.852. Round s to one dp.\nAnswer: -70.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43 and 52632?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 21\/15 + 64\/(-160). Let t(w) = w**2 - 1. Let x(s) = -24*s**2 + 2*s - 4. What is q*x(h) - 4*t(h)?\nAnswer: -28*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -s + 12, -426*v + 430*v + 12 = -5*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101122120202000 (base 3) to base 16.\nAnswer: -565f50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**3 - 6*b**2 + 8*b + 7. Let t be j(6). Suppose -t + 280 = -3*i. Suppose k + 3 - 1 = 0. Sort i, -5, 3, k.\nAnswer: -5, i, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3597022 is divided by 1731.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 84505*u + 464161*u - 9.\nAnswer: 379656*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**2 + 13*h + 1 + 23*h + 150*h to the form c + s*h**2 + i*h and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 AM and 5:39 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(2178)*-1 + (-1*((1*sqrt(2178) - sqrt(2178)) + sqrt(2178)) - sqrt(2178)))\/((sqrt(81)*-1*-2 + sqrt(81) + sqrt(81))\/sqrt(324)).\nAnswer: -231*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, 435, 1\/4, -26.1, -0.3?\nAnswer: -26.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 3*h**3 + 173703*h**2 - 6952020*h + 52146900 = 0.\nAnswer: -57941, 10, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*b**3 + 8904*b**2 - 103*b**3 - 1 - 8904*b**2 + 10*b**3.\nAnswer: -123*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44\/25 - 942\/175. Calculate the common denominator of r and -39.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1689*k**6 + 1084*k**2.\nAnswer: -202680*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(304) + 2)*1 - (0 + sqrt(304))*4*6)**2.\nAnswer: -184*sqrt(19) + 160817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k - 252. Let j(g) = -250*g - 4097. Give a(j(w)).\nAnswer: -250*w - 4349","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 - 16. Which is the second biggest value? (a) -5\/2 (b) v (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of (5080\/(-36)*3)\/(84\/(-1134))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 522611260?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + 22. Let g be o(0). Let l be g\/3 - (-6)\/(-18). Let k(a) = -13*a + 10. Let p(q) = -9*q + 7. Determine l*p(s) - 5*k(s).\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1374208\/709632 + (-12)\/7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 568 + -364. Suppose 0*r = 2*o - 2*r - k, 3*o - 5*r - 304 = 0. Does 26 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 3*v - 2. Let x be k(-3). Let p be ((-5)\/x)\/1 + -1. Which is the closest to -2\/7? (a) 1\/2 (b) p (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -22755000 to the nearest 100000.\nAnswer: -22800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + z - 4*z + (3*z - 3*z + z)*(6 - 2 + 2))*(5*z**2 + 0*z**2 - 56*z**3 + 57*z**3).\nAnswer: 5*z**4 + 25*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 q when three letters picked without replacement from zqrrrclnnrlcqcc?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3*2\/6 + 197.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of 28 + 39\/2*z**2 + 21\/4*z**4 + 0*z + 0*z**3. Find the second derivative of b(h) wrt h.\nAnswer: 126*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 88 and 33351054?\nAnswer: 133404216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -401*l**3 + 225*l**3 + 259*l**3 + 3*l as k + u*l**3 + r*l + x*l**2 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 73 + -14?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7661 is divided by 170?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of 33*s**4 + 97*s**3 + 33*s**2\/2 - 126*s + 2683. Solve h(c) = 0 for c.\nAnswer: -7\/4, -1, 6\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -k**4 + 2*k**3 + 27*k**2 + 52*k + 28 = 0.\nAnswer: -2, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2599*c**3 + c**2 - 14*c + 10. Let f be y(13). What is f rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228*u - 4 = 230*u - 20 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-27 + 26 + (-46)\/(-6))*6. What is the greatest common divisor of c and 124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1067 and 1331.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 9*b**3 + 2*b**2 - 17*b + 12. Let f(k) = -7*k**3 - 3*k**2 + 12*k - 11. Let l(n) = 4*f(n) + 3*u(n). Give l(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, c: 3, w: 10, g: 1}. What is prob of sequence wwww?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r - 2, 5*z - 17*r = -13*r - 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m + 11 = 35 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40 + -36. Let q be -3 + (v - 5) - -7. Solve 5 = -q*u + 17 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2\/7, 1\/2, 5, -296\/19 in increasing order.\nAnswer: -296\/19, -2, 2\/7, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/4 + 9\/6. Suppose g = -2*y - 0*y + 6, 2*y = t. Suppose 3*r + 8 = -h, -4*h - g*r = -8*r. Which is smaller: 3 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23763689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 8 = -16, -4*c + 0*c - 3*a = -14 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence js when two letters picked without replacement from sjsjjj?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t = 8*t + 2. Suppose 0 = t*i - i - 4. Does 4 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -5. Let w = h + -1. Solve -3*v + 5*a = 20, 7*v - 4*v + w*a = -13 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -23 - 2*a**2 + 34*a**2 + 20*a**2 + 4*a + a. Let d(x) = -26*x**2 - 2*x + 11. Let i(o) = -5*d(o) - 2*p(o). Differentiate i(z) with respect to z.\nAnswer: 52*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (26 - 0) + (-795 - -787)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 18\/7. Which is the second smallest value? (a) -7 (b) 5 (c) l (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22511652.\nAnswer: 2, 3, 1875971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 117 and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 21*y + 4 - 12 - 13*y - 90*y.\nAnswer: -82*y - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ximc when four letters picked without replacement from xvxmvuxxucuimvvvixvm?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -100101 (base 2) in base 6?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 4*m + 2727 = 2723, 4 = -3*b - 4*m for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -h**3\/3 + h**2 + 4*h + 22. Let d(j) be the first derivative of -j**3\/3 + j**2\/2 + 3*j + 1. Calculate 4*d(q) - 3*y(q).\nAnswer: -q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -828235200.52 minus 0.05?\nAnswer: -828235200.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 13372, 53419, 120162, 213601, 333736, 480567, 654094?\n\"Answer: 13348*p**2 + 3*p + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1013919, 1012896, 1011873?\nAnswer: 1010850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9544320 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 654045087 to the power of 1\/2, to the nearest integer?\nAnswer: 25574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8307)\/852)\/(3*(-3)\/12).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3*p + 38. Let a be y(11). Suppose a = m + 5. Suppose m = 2*c - 2*l - 280, -5*c - 91 + 751 = 5*l. What are the prime factors of c?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 306289377 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000818176 rounded to 7 decimal places?\nAnswer: 0.0000082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -50 in -4, -3, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 9. Is 74*(7\/d)\/(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 19, 10, -7, -32?\n\"Answer: -4*r**2 + 3*r + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6*(-7)\/(-7) - -6. Let w(r) be the second derivative of 0*r**4 - 1\/35*r**5 + 0 - 5*r + j*r**3 - 11\/105*r**6 + 0*r**2. Factor w(x).\nAnswer: -2*x**3*(11*x + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g. Let j(v) = 2883*v**2. What is l(j(f))?\nAnswer: 2883*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 422 divided by 4?\nAnswer: 211\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 2, 44, -2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -81.24974 to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(0\/(-5))\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzrj when four letters picked without replacement from xzurjuzijurxuxirrrx.\nAnswer: 5\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2026?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/6)*v)**(-2\/67) assuming v is positive.\nAnswer: v**(-5\/201)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j + o - 4, j - 174 = -4*o - 209 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 434 and 620?\nAnswer: 4340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1326 + -658. Suppose 2*a = -2*j + 180, 0 = -5*a - 4*j - 217 + v. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 25612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20156 + 7*n**2 - 20156.\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -592 - -597. Suppose 15 = 5*k, -b*h + 5*k + 2462 + 2398 = 0. Is h a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lxsh when four letters picked without replacement from oxslaohh.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**9\/(h**(-19)\/h))\/(h\/((h**(3\/13)*h)\/h))**31)**(-5\/6) assuming h is positive.\nAnswer: h**(-335\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10111001001 (base 2) to base 12.\nAnswer: -a35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -28, 3, 6860, 4.\nAnswer: -28, -18, 3, 4, 6860","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1122254 - -4?\nAnswer: 1122260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in twenty-five quarters of a second?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1529 is divided by 90?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 502383*q**2 - 1000894*q**2 + 498496*q**2.\nAnswer: -15*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/(-60)*-5)\/(2\/(-9)). Suppose 3*l - 1 = -2*p - z, -4*l - 2 = 2*p. Solve l = -5*g + 4*h + 3, 5*g + 2*h = -0*g - 9 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -114645\nAnswer: 7\/114645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 39? (a) -1\/7 (b) 2\/33 (c) -5 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 474, 462, 436, 390, 318, 214, 72, -114?\nAnswer: -350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.172 + -2.828. Suppose -z - 8*w + 6*w = 8, 9 = 3*z - 5*w. What is the fourth smallest value in 0.4, -5, n, z?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -228476 > -230853?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -93*l**3 + 41*l**2 - 18*l - 7. Let d(k) = 92*k**3 - 40*k**2 + 15*k + 6. Give -5*a(n) - 6*d(n).\nAnswer: -87*n**3 + 35*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9\/26 in -5, -2\/7, -0.5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - 3*q + 2 + 2*q)*(-3 - 2 + 2).\nAnswer: 6*q - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 - 28*j - 160. Let u be d(-14). Let m(r) = 9*r - 132. What is the tens digit of m(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 6*r**2 + 8*r - 2. Let n = 41 - 69. Let f be (-3)\/(-2 - 44\/n). Let m be g(f). Solve m*k = -3*a - 1 + 6, -2 = 2*k + 2*a for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5304225 + -21?\nAnswer: -5304250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65813607?\nAnswer: 3, 43, 56687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r + 3. Let f(v) = 2*v**2 - 10*v + 4. Let z be f(5). Suppose -5*k - 6 + 1 = -4*c, 1 = -z*c - k. Calculate n(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bfbswwbnnbbgbngfgng. What is prob of picking 2 f and 1 w?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/50)\/(1\/(-7)*651\/(-465)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 145 + -46. Is t a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 59*t + 30. Let s(b) = 5111*b. Calculate s(z(v)).\nAnswer: 301549*v + 153330","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*o - 27*o - 192 - 193 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-41*j**2 + 50*j**2 + 62*j**2)*(2 - 2 + 3*j) in the form o*j**2 + u*j**3 + x + g*j and give u.\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4e - 27f?\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 60413 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -3 + 5 - 5 - (16 - -2).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -190894 by 4.\nAnswer: -95447\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-7808)\/427)\/64)\/(34\/33 + -1).\nAnswer: -66\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 1154 - 1166 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 83267702 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 - 8)\/(-1 + 0). Suppose -y - 7 = -4*x, 4*y - 7*y - m*x + 59 = 0. Does 4 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29 (base 15) to base 6\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 735.5197l to millilitres.\nAnswer: 735519.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence odr when three letters picked without replacement from {o: 3, d: 1, t: 1, r: 2, n: 3, g: 1}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4275*l**2 - 108*l - 8540*l**2 + 4264*l**2.\nAnswer: -l**2 - 108*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001360276 rounded to seven dps?\nAnswer: -0.0000136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2783 = 7*w. Let l = w + -166. Is l a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2304) - (sqrt(2304) - (2*sqrt(2304) - sqrt(2304)))) + sqrt(2304))\/(sqrt(128) + 2*sqrt(128) + sqrt(8)).\nAnswer: 24*sqrt(2)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - y - 5)*(7*y - 6 + 6).\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*l - 535 - 166 = 779 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 49488*c + 98971. Calculate h(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 5*m**2 - 4*m + 6. Let x be v(6). Suppose 3*j = 5*j + x. Round j to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -231, -505, -861, -1341, -1987?\n\"Answer: -7*z**3 + z**2 - 228*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 8) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 52546193281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1238 + -1339.6. Let m = i - -93. Let q = m + 8.4. What is the smallest value in q, 0, -0.07?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 2*p**2 - 2*p. Let l be g(2). What is the units digit of 6\/(-3 - 15\/l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72102 is divided by 345.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2572 is divided by 84?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8086\/7 + 1155. Which is the nearest to 2\/59? (a) z (b) 3 (c) -1 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 6:22 AM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(1\/10))\/l)\/(l\/(l**(-2\/13)*l)))\/(l**(-1\/5)\/l)**(-22) assuming l is positive.\nAnswer: l**(-3439\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b + 3. Let d be s(7). Suppose 0 = p - 6 + 1. Solve 2*j = -d, r - p*j + 1 - 21 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18616.9 take away 11?\nAnswer: 18605.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -12, 3686, 3, -5 in decreasing order.\nAnswer: 3686, 3, -5, -9, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 15 + 1332220?\nAnswer: 1332235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*20\/(-8))\/((-28)\/1680*-30).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 45203236541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + k + 1, 0 = 2*l - 3*k + 3 - 2. Let c = 61\/342 + -2\/171. Let y = 1 - 4. What is the closest to 1 in y, c, l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**3 - 861*h**2 + 449*h**2 + 412*h**2.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/39 in 0.3, -1\/3, -2\/11, -4, 140?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 - 5*w - 2. Let t be k(-4). Suppose -5*c = 4*j + 1542, -5*c + 74 - 1598 = -t*j. Let g = c - -572. List the prime factors of g.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 6, -1, 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 1. Suppose 0 = -2*c + 1 + u. Suppose 4*p = -2*a + 22, 3*p - 4*p + c = 5*a. What is the greatest common factor of p and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/12 + (-13)\/(-3). Solve z = -3 + f for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 0*d + 30 = 0. Solve -5*j - d*m = -0*m - 35, -5*j - m = -23 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4021213 is divided by 1766.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 402 + 120. What is the common denominator of (v\/4)\/(6\/4) and 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*j - 16 = -26*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 q, and 1 y when three letters picked without replacement from kgkysqxg?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -52 + 51. What is the nearest to q in 5, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 24*z**2 - 11*z + 39. Let w(x) = -2*x**2 - 3*x + 6. Give -r(t) + 4*w(t).\nAnswer: -32*t**2 - t - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1974 + 1972. Let p = -7.87 - 0.13. Let l = -8.3 - p. Which is the third smallest value? (a) -0.1 (b) r (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1522 = 29*l + 22809. Which is bigger: -836 or l?\nAnswer: -836","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -2*((-748)\/8 + -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*p + 59*p - 20 = 0, 5*p = 4*b - 1246973. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*o + 43650 = -15*o. Solve 4*s - o = -998 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 5 - 13 = 0. Let n(g) = 6 + 2*g - 1 + 14 - 29*g + p*g**2. List the prime factors of n(16).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -84722\/17 or -4983?\nAnswer: -4983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (15\/(-21) - -2)\/(27\/189). Solve z*g - 46*g + 74 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 40\/90 - 208\/(-18). Suppose v - 5*v = -x. Suppose -v*l - 2393 = -7070. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20995 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 83 + -17. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i**4\/4 + 37825*i**3\/4 + 75603*i**2\/4 - 1626349*i\/4 + 378230 = 0. Calculate i.\nAnswer: -37823, -8, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 + 33*c**2 - 51*c - 55. Does 75 divide q(20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, d: 9}. Give prob of picking 4 d.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 15*x**2 + 34*x + 4. Let k be t(-17). Let u(v) = v**2 + 3*v - 3. Let p be u(-4). What is the units digit of p\/(1\/64*k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191355?\nAnswer: 3, 5, 12757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -475*b + 478*b + 9 = 2*j, b - 14 = -5*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 418\/2717 - (2012\/3952 - (-3)\/(-12))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 1.3. Which is the third smallest value? (a) t (b) 2 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of y**6 - 797*y**3 + 77*y + 797*y**3 - 5*y**2 + 1087*y**4 wrt y.\nAnswer: 120*y**3 + 26088*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 260.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33275*i**3*m**3 - 185217*i**3*m**2 - i**2*m**3 - 10*i*m**3 + i*m**2 wrt m.\nAnswer: 199650*i**3 - 6*i**2 - 60*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 2*i - 15. Suppose 55 = i*w - 0*w. Let g(d) = d - 9. Calculate the least common multiple of 8 and g(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4192, 8370, 12512, 16600, 20616, 24542?\n\"Answer: -3*n**3 + 4199*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 13) in base 7?\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1898 and 222534.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 4*c - 581, c + 1 = 2. Let a = 23818 + -311153\/13. Let j = h + a. Which is bigger: 1 or j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, r: 5, n: 1, o: 1, a: 4}. Give prob of sequence ra.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/99)\/(((36\/26)\/6)\/((-49)\/(-637)))?\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h**2 - h**2 - 4*h**2 + h**2 - 3*h**2 + 0*h**2 + (h - 2 + 2)*(-1 + 1 + 153*h).\nAnswer: 149*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -30, -88, -174, -288?\n\"Answer: -14*w**2 - 16*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -491 and -324 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**4 - 2*l**4 - l**4 + l + (-2*l + 2*l - l)*(2 + 2*l**3 - 2) to the form c + k*l + a*l**4 + v*l**2 + o*l**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i. Let l be u(4). Suppose l*t + 0*t = 8. Suppose -3 + 15 = 4*f. Calculate the highest common factor of f and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.0941 (b) -27 (c) -2\/13 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -10.3. Which is bigger: n or -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -306*y + 66*y + 6 - 3.\nAnswer: -240*y + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 566664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - 3*r**2 - 2*r - 1. Let p = -6 - -5. Let i be ((-2)\/(-5))\/(p\/5). Let y be u(i). Is y equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 133 - 151. Let n = 13 + d. What is the second smallest value in n, -0.5, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = a - 2*h - 14, 4*a + 16 = 4*h. Let d = 8 + a. Is d a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12200 (base 4) to base 6\nAnswer: 1532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) + sqrt(2592)*2)*5*-1 + (sqrt(72) + -3 + 1 + sqrt(72) - (-4 + sqrt(72) + sqrt(72) + 0)))**2.\nAnswer: -1500*sqrt(2) + 281254","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 5) to base 11\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 19 + 2\/2*1. Let p(g) = -g - 5. Let z be p(3). Let q be (-17)\/x - 2\/z. Is q at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 8:59 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 - 27) + 28 + (2 - 61)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31 + -2. Suppose 3*b + 3*s - j = b, b - 2*s = 32. Is b a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**3 + 29*t**2 + 36*t - 41. Let z be v(-13). Which is the third smallest value? (a) 17 (b) -1\/3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 25.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.801048 decades in centuries?\nAnswer: 0.0801048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152222 is divided by 12679?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rvvvz. What is prob of picking 1 z and 3 v?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30*40\/(-450)*405\/20.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 18. Suppose q = 3*v - 1. Suppose 5*a - 29 = 4*m, 0 = 4*a - 5*m - 28 + v. Solve -3*u = 3*p - 5*u - 4, -a = u for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + 5*n**2 + 2*n + 93. Let o be f(0). Which is smaller: 7 or o?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -4. Let t = 65 + -43. Calculate the highest common factor of i and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9842011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 6 = 3, 4*k = n + 13. Let w be -1 - n - 0 - 0. Is 33\/(-6)*(-2 - w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-2 + 1)) + -6 + 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75697 = -38*r - 75887 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -542*s - 533*s + 494 = -1037*s for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -26127+-1427381\nAnswer: -1453508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/9*9\/(-2). What are the prime factors of (-1)\/w + 172\/12?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -78 + 235\/3. Which is the nearest to -1? (a) t (b) 0.07 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3*d - 2*d + 7 + 0*d. Let h be b(-4). Let y be (33\/4)\/(3\/12). Calculate the greatest common factor of y and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 526 is divided by 43?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10237363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**3\/3 - 7342*t**2\/3 + 14681*t\/3 - 7340\/3 = 0. What is t?\nAnswer: 1, 7340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 2*n - 35. Let g(p) = 1 + 4*p**2 + 8*p**2 + 5*p - n*p**2 + 4*p**2. Is g(-2) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1726913 is divided by 887.\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1610614 a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 20 = -5*p, -4*n - 4 = -5*p + 17. Let y = -3 + 2. Let s = y + -2. What is the second biggest value in s, 0.2, p?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -575.829 minus 1056715?\nAnswer: -1057290.829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32 - -36. What is the greatest common divisor of 44 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54 - 93) + 59 + (-33 - -3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 144 and 28404.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5856 = -2*z + 5864, 0 = 3*k - 5*z + 26 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -290*i + 144*i + 145*i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 397.34448 + -0.04448. Round d to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(2\/5))**(-11))**(-40))**(-2\/19) assuming u is positive.\nAnswer: u**(-1232\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 28115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gbp when three letters picked without replacement from bjugpujjj.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + h + 21. Let c = 0 + 0. Let i be s(c). What is the highest common divisor of i and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 0, -2 in descending order.\nAnswer: 3, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1 + sqrt(75))*3.\nAnswer: -1 + 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 104509 to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92 - (0 + -6 - -5) - (7 - (-64 - -68)).\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -29, -67, -93, -101, -85, -39?\n\"Answer: p**3 - 45*p + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 8, l: 5}. Give prob of picking 2 l and 2 v.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -1\/4, -2\/3, 0.1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5725*f**2*n**3 - 54599*f**2*n - 12*f*n**3 + 17*f*n**2 - 5*n**3 wrt n.\nAnswer: -34350*f**2 - 72*f - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 2\/17, -0.28, -5?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.077 + -0.023. Let p = 20.9 - s. Let b = p + -20.999908. Round b to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 160\/50)\/(6\/(-45))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i*i\/(i**(-1)\/i)))\/i**(1\/6)*((i**(-1\/2)*i)\/i)**(-7\/5) assuming i is positive.\nAnswer: i**(-22\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 165 divide 46860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2543\/3 + 848. Let l*t + t**2 + 0 = 0. What is t?\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 17 = 15. Sort 0, -4, h in increasing order.\nAnswer: -4, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*t - 75*t - 23*t + 31*t.\nAnswer: -162*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -841878 divided by -1\nAnswer: 841878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, u: 2, w: 5, d: 1, g: 4}. What is prob of picking 2 i and 1 d?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16434, 32577, 48720, 64863, 81006, 97149?\nAnswer: 113292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -2 - (-1 + -3 + 0 - -28).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c - 3*g + 4, -8*g + 5*g - 26 = 4*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -65bbd - 14?\nAnswer: -65bd3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/1 + (-46)\/14. What is the third smallest value in -3, w, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -4*d**2 + 11*d - 11. Let t = 10 - 11. Let i(k) = -k**2 + k - 1. Let j(m) = t*b(m) + 2*i(m). Calculate the remainder when j(6) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.056 + 2.644. Let w = 3 - o. Let f = -7.73 + 3.73. Which is the third smallest value? (a) 3 (b) w (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.8 - -0.2. Let u = 2 - c. Let q = u - 0.1. Which is smaller: q or 0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8618335 and 440.\nAnswer: 68946680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -411 = 41*g - 2789. Suppose -17 = -7*p - 3. What is the lowest common multiple of p and g?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -4*m**2 - 126*m + 55. Let w be y(-32). Let s be (-1 - 0)\/((2 - -6) + w). What is the greatest common factor of 2 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from drr?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 16 (b) -1 (c) 0.4 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -6*j - 74. What is h(-17)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 421049034 to the nearest integer?\nAnswer: 750","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.17 and 41352?\nAnswer: 41351.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2108 (base 9) to base 15\nAnswer: 6d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jpjnjjjnjjnjgjgjgg. What is prob of sequence gggj?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -293, -292, -291, -290, -289?\nAnswer: -288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16394 and 1960?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/5 - (2 + (-7602)\/30) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 44 = -16. What is the second derivative of 1 - 12*q + 5*q**2 + q**2 - x*q**2 wrt q?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 5 (b) 123 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*g*p*s + g*p - 33*g*s - 12*p*s - 14*p with respect to g.\nAnswer: 2*p*s + p - 33*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44680\/33510 - (1\/(-4))\/((-3)\/8).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a kilometer in meters?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/330 and 89\/12760?\nAnswer: 38280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 36 * -3.15.\nAnswer: -113.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -31*s + 16*s. List the prime factors of (149\/s)\/((-10)\/(-80)).\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -5 (c) -161 (d) -814\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = -4*l + 62 + 38 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 318 + 30 = -4*u. Do -86 and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - (5 + (-5 - 3)). Solve -2*k + 5*y - w = 8, 5*k - y = 7 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53120735 to the power of 1\/2, to the nearest integer?\nAnswer: 7288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -h - 0*h + 4*i, -3*i = -4*h + 11. Is 0 at least as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3451321 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3339294 and 1785?\nAnswer: 283839990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1342890 to the power of 1\/2, to the nearest integer?\nAnswer: 1159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = w - 5*d + 7, -3*w = 2*d + 6 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 0*f + 0*f + (1 - 1 - 2*f)*(-2 - 4 + 4) - 4*f + 7*f - 12*f)*(-6 + 17 - 5).\nAnswer: -36*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1009242 is divided by 8853?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9432 and 288?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3 + sqrt(11)*2) - -1*sqrt(1100)*2.\nAnswer: -15 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -15448106 divided by 3\nAnswer: -15448106\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -87, 0.5, -1, 1\/7, -5, -4427 in descending order.\nAnswer: 0.5, 1\/7, -1, -5, -87, -4427","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i - 11*i - 451 = 0. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161173 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22180, -22306, -22432, -22558, -22684?\nAnswer: -22810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l. Let t(w) = -w**3 + 6*w**2 - 4*w + 1. Suppose -3*c + 1 = 3*v - 8, 2*c = -5*v. Let y be t(c). Let f(q) = -3*q + 1. Calculate y*n(x) - f(x).\nAnswer: -3*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -13624 - 9385\nAnswer: -23009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*l**2 + 26388*l + 368648 = 0. What is l?\nAnswer: -6583, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14 - -575172?\nAnswer: 575206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (6 + (-7)\/2)*88.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5414778 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/((-68)\/348) + (-4)\/34. Suppose 140 = -c*l + 12*l. What is the smallest common multiple of 24 and l?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 817269, 1634474, 2451683, 3268896, 4086113?\n\"Answer: 2*m**2 + 817199*m + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1270 and -11.2.\nAnswer: 14224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 o when three letters picked without replacement from {o: 2, a: 1, u: 5, v: 1, e: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccccccccccccccvccc. Give prob of picking 1 v and 1 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -7. Let z = i + -3. Which is the second smallest value? (a) z (b) 0.3 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 3, 84, -536, 1, 2 in increasing order.\nAnswer: -536, -5, -3, 1, 2, 3, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c. Let a(k) be the second derivative of -5*k**4\/12 - 8*k. Calculate f(a(m)).\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - m - 3*m)*(1 + 0 + 1)*(-3*m + 6*m + 0*m)*(9*m + 3*m + 3*m).\nAnswer: -90*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 159*i + 50*i + 59*i + 0 + 46*i.\nAnswer: -4*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 11879612, 11879615, 11879618?\n\"Answer: 3*f + 11879609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -22*s**2. Let c(r) = -54*r**2. What is c(m(i))?\nAnswer: -26136*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w = -88 + 132. Let q be (-27)\/270 - (-411)\/10. Solve q - 57 = -w*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 9*r - 1. Let w be q(1). Let f = w + -5. Solve -5*j + 16 = 4*t, t + 9 + 4 = f*j for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3427.1 + -3426.9. Which is the closest to 0.2? (a) -0.4 (b) 0.23 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -5*k. Sort -4, -0.4, k in decreasing order.\nAnswer: k, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 103187 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 4*p + 29, -5*p - 8 = 17. Let s(g) = 0 + 3*g + 4 + 2*g**3 - g**b - 4*g**2. Let n be s(4). Solve -4*j - 5*c = n, -3*c + 5*c = -4*j - 16 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 49 + -69. List the prime factors of ((-7)\/5)\/(2\/z).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -7*f + 6. Let v be m(0). Calculate the highest common factor of 2 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-5 - (5 + -18) - 6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 971*p**3 - 875*p**3 + 2110*p**3 + 1.\nAnswer: 264*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/((-12)\/6)*83. Let d = y + -82. Solve d = -4*i + 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -9, -14, -1, -2, 170.\nAnswer: -14, -9, -2, -1, 5, 170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -3*z**3 + 11*z**2 + 11*z + 17. Let n(q) = 2*q**3 - 5*q**2 - 5*q - 9. Let x(v) = 3*c(v) + 5*n(v). Let a be x(-7). Does 8 divide ((-46)\/(-4))\/(a\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, v: 5, a: 4, p: 1, z: 3}. Give prob of picking 3 a and 1 p.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3872 is divided by 73?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 g when three letters picked without replacement from fggfg.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -525 = -27*c - 687 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 853, 851, 849, 847?\n\"Answer: -2*v + 855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -1\/12*d**4 + 2\/3*d**3 - 4*d + 0 + d**2. Let g(y) = y**2 - 5*y - 2. Calculate -5*g(k) - 6*x(k).\nAnswer: k**2 + k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2933497493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 339 - 2*l - 115 - 224.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 1207 = 3*h, -3*h + 0*h + 5*i = -1217. What are the prime factors of h?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-1039335.6.\nAnswer: -207867.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 64*q**2 - 124*q - 391. Let s be u(66). Solve s*v - 6 = 135*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*a**3*p - 2*a**2*p**2 + 44*a**2*p + 180*a*p**2 - 5*a wrt a.\nAnswer: -18*a*p - 4*p**2 + 88*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1203.252 + 5.\nAnswer: -1198.252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 168 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5738705 divided by -113.\nAnswer: -50785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2498223401.\nAnswer: 25013, 99877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3634 or 3636?\nAnswer: 3634","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qvxv when four letters picked without replacement from vqnqnxqqnxnvnqnxvvn?\nAnswer: 5\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -193*x + 198*x - 15 = 0. Suppose 0 = -x*d - 3*t + 455 + 2200, 1772 = 2*d + 4*t. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 762*w**2 + 754*w**2 + 751*w**2 - 3045*w**2 + 755*w**2.\nAnswer: -23*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 5:11 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-36)\/96 - (-30)\/(-48). Which is smaller: c or -2\/18193?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 2*o + 75, v - 4*v - o + 72 = 0. Suppose 31*n - 33*n = -50. Suppose 3*w = n + 14. What is the remainder when v is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10233647.\nAnswer: 19, 67, 8039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -415 by -8.\nAnswer: 415\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38 - -41. Suppose -5*w = -3*n + 122, 45 = -w - f*n + 17. Which is bigger: w or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -116 + 216. Calculate the highest common factor of 550 and c.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9479624.\nAnswer: 2, 7, 11, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zc when two letters picked without replacement from {h: 4, c: 1, a: 2, j: 2, z: 1, s: 5}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mxf when three letters picked without replacement from {x: 3, f: 16, m: 1}.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = k, -3*f + 19 = 4*k - 4*f. Let g = -4 + 13. Solve 0 = k*x - g + 24 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -435 and -122?\nAnswer: 53070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1)*(-1 - 2 + 1)*(381*t**3 - 295*t**3 + 784*t**3).\nAnswer: 1740*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-50)\/6 - 2\/(-6). Let z(k) = -k - 6. Let q be z(j). Suppose 2*a = 4*l - 8, 3*l - 16 = -2*a - l. Solve -a*d - 2 = q for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 129850*n**3 - 637*n**2 + 637*n. Let k(l) = -1225*l**3 + 6*l**2 - 6*l. Determine -6*c(v) - 637*k(v).\nAnswer: 1225*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-74)\/(-8) - 6\/24. Suppose c - 51 = -3*t. Are 0.2 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-14) + (-40)\/7. Let t(n) = n + 8. List the prime factors of t(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2160361 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -14*k - 13. Let f(u) = 16*u + 11. Calculate -4*f(c) - 3*s(c).\nAnswer: -22*c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5272297*d**3 - 138*d**2 + 81*d + 34?\nAnswer: -31633782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5*2*(-8)\/(-20). Let h be 1*(-1 + y\/6). What is the second biggest value in -0.2, h, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20968753817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 495278?\nAnswer: 2, 7, 17, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 3:49 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128*w**2 - 127*w**2 + 368*w**2 - 118*w**2.\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 + 30?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -278\/325 - -18\/325. What is the third smallest value in p, -5, 0.2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 917537*k*t**2*v**2 + k*t + 2018*k*v**2 + 2*t**2*v**2 - 254*t*v wrt t?\nAnswer: 1835074*k*v**2 + 4*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36031584 by -6.\nAnswer: 6005264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 8. Suppose 0 = 3*p - 0*p - 6. What is the derivative of 4 - 3*m**p + f - 4 - 4 wrt m?\nAnswer: -6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 2*r**4 + 8*r**3 - 22*r**2 + 12*r = 0.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.61 + 1.546. Let t = -0.1855 - z. What is t rounded to 2 dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14508)\/94302)\/(11\/65)\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 83383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 527.\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2959459*m**4 - 25*m**3 - 463703866*m**2 wrt m.\nAnswer: 71027016*m - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3229.92 - -3186. Round k to zero dps.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 15*j**3 - 1. Let d be o(-1). Let h = -1575 + 1579. Sort -4, h, d.\nAnswer: d, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 54, 118, 182, 246, 310, 374?\n\"Answer: 64*n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18657955 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*l**2 - 2*l + 13 - 9)*(0*l + 0*l - l).\nAnswer: 2*l**3 + 2*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7379823 - 2083177. What is h rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + 3*l + 2. Let f(a) = -3*a**2 + 9*a + 5. Let h be -3 - (-3)\/9*0. Give h*f(p) + 8*g(p).\nAnswer: p**2 - 3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -9*l + 310. What is n(38)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**2 + 4*c - 4*c)*(-2*c + c + 3*c)*(-6 - 2 + 10)*(-3 - 2 + 6)*(22 + 1 + 46).\nAnswer: 828*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.02 and -5558?\nAnswer: 5558.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**2 - 24*w + 37. Determine c(11).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 103445 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.657, -3\/5, 6, 33, 0.3, 3 in decreasing order.\nAnswer: 33, 6, 3, 0.657, 0.3, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 1425*n**2. Let y(o) = -o + 30. Let j(k) = 30. Let l(u) = 2*j(u) - 2*y(u). Calculate l(b(h)).\nAnswer: 2850*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/4 and ((-3)\/(-6))\/(2\/11).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14620101829 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/6857036 and -11\/114352.\nAnswer: 191997008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of 4*g**6\/3 - 4*g**5 - 45*g**4 + 580*g**3\/3 - 74*g**2 - 240*g - 5492. Let t(d) = 0. Calculate d.\nAnswer: -5, -1\/2, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2905806 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 - 4 - (-176 - -122).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1097.35 times -0.01068\nAnswer: 11.719698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30 - -27) + 20\/6)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + n = -135 + 134, -5*u - n = 31 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**(-10\/7))\/u)**(-2\/21))**(-40) assuming u is positive.\nAnswer: u**(800\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 869.5096us in seconds?\nAnswer: 0.0008695096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -225, 0.3844, -2\/7, 0.5 in descending order.\nAnswer: 0.5, 0.3844, 0, -2\/7, -225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13430, -26501, -39594, -52709?\nAnswer: -65846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-2)\/((-26)\/(-14) - 2) and 21 - 12*((1 - 2)\/4)\/(-1)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -850244 (base 16) to base 9.\nAnswer: -17355258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 5 (b) 936 (c) 12\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 150\/(-24) + -5 + (-4872)\/2784.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 7:47 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 207824 and 40176?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 2 - (9 - (-1 - -10))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000043076967 rounded to 7 decimal places?\nAnswer: 0.0000431","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/q**(-15\/2)*q)\/q*q*(q**(2\/33)*q*q*q)\/q*(q**(3\/2))**(3\/16))**(-37) assuming q is positive.\nAnswer: q**(-501757\/1056)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12048080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 14 = 5*w - 72, -4*w = 3*i - 69. Calculate the least common multiple of 54\/(-39)*(14 + (-544)\/24) and w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/(-18))\/((-415)\/(-249)) + (-1)\/(-5). Let c(o) be the first derivative of 34 + 0*o**2 - b*o**3 + 0*o. Let j(w) = -15*w - 2. Determine j(c(v)).\nAnswer: 15*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1117765 to the nearest integer?\nAnswer: 1057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of b**9\/12096 - b**8\/2240 + b**7\/1680 + 5*b**3\/2 + 28*b**2. Let x(t) be the first derivative of d(t). Solve x(l) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -303869.\nAnswer: 60773.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 + 1.2. Let n = 383.731 + -384. Let r = n + 0.169. Which is the nearest to r? (a) -0.4 (b) q (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -313002233222?\nAnswer: 313002233212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 0*i + 2*i)*(883*i**2 - 2198*i**2 + 1062*i**2 + 760*i**2).\nAnswer: -507*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -11.4. Let n = k + 2.4. What is the smallest value in n, -1, -2\/13?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3*i = 90, -5*i = -m - 84 + 81. What is the highest common divisor of 5625 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -10\/9 (b) -5 (c) -1 (d) -67 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - -110439277.35.\nAnswer: 110439276.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 29136659 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-42) - (-4)\/(-6)) + (-29 - 15466\/(-518))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2\/2 + 48060*k + 576936.\nAnswer: -3*(k - 32052)*(k + 12)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 770*g**2 + 3808*g - 257. Give b(-5).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 11. Suppose 3*y - 142 = -2*m, 3*y - 142 - 20 = 3*m. What is the highest common divisor of r and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/5 - 26842\/40. Let h = n - -671. Find the common denominator of (((-156)\/(-90))\/(-13))\/((-1)\/95) and h.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296.38 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -i + 1 + 1, 0 = -2*i - 5*n + 56. Let r be 3\/i + (343\/(-6))\/7. What is the remainder when 53 is divided by 18 + 4 + r + 4?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2*y = -2*m + 6, 0 = 3*y - 2*m - 2. Let w(v) = 4*v - 9. Let z(j) = -j + 2. Suppose 4*g + 10*h - 36 = 9*h, -3*h + 9 = g. Calculate g*z(i) + y*w(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 5*g**2 + 11*g - 15. Let l be j(8). Let d = l - -177. Calculate the highest common factor of d and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 - (25 + 5 + -18) - -5?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*n**3 + 168 - 270 + 102.\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -8*g + 306. Let b be a(41). Is (b - -22)*1\/5 - -19619 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-1 + sqrt(10)\/(-1*sqrt(2)) + 4)*3)**2.\nAnswer: -54*sqrt(5) + 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -57*l**2 + 2. Let r(z) = 28*z**2 - 1. Let t(u) = 4*g(u) + 9*r(u). Is t(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - -1 - 3\/12. Let t be 8\/60 + 118\/420. Let i = -3\/14 + t. Which is the nearest to -0.1? (a) -0.11 (b) i (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.23, 4, -2\/17, -20.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 e when two letters picked without replacement from mnezzzznzmzeemn.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*d - 3*d = 591229 + 720935. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 14*x + 21. Let a be f(13). Let i(z) = 2*z**2 - 20*z + 34. Calculate the remainder when (-6)\/(-2) + 4 + -1 is divided by i(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3168 divided by -18?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1786186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-700)\/16 + 3 + 2\/(-8). Let a = -39 - z. Suppose 3*g + 4 = -0*v - v, -a*v = 4*g + 8. Solve g = -2*k + 1 + 9 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/sqrt(2) + 5)**2 + (sqrt(11) - (1 + sqrt(11)))**2*3 + 4*(-4 + sqrt(176)).\nAnswer: 23 + 26*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (2 - (-8 + 0 + -3 + 33 + -9)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*a**2 - 2\/5*a**4 + 0 + 2\/5*a**3 + 0*a.\nAnswer: -2*a**3*(a - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117220?\nAnswer: 2, 5, 5861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6.221473 decades?\nAnswer: 62.21473","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -68\/26354115 and 8\/1005.\nAnswer: 26354115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 divided by 5510?\nAnswer: 21\/5510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192*m**3 + 32*m**3 + 132*m**3.\nAnswer: -28*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 0. Let s(n) = 289*n + 36421. Let y be s(-126). Solve -3*g - y = z for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1718955193 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8257 + -8255. Let t(d) be the second derivative of -1\/2*d**4 - 22*d - 9\/2*d**i + 0 + 7\/2*d**3. Factor t(b).\nAnswer: -3*(b - 3)*(2*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 15 + (19 - ((3 - -9) + -6)) + 27?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1101101 (base 2) to base 9\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-10)*s)\/s)\/(s**(9\/2)*s)*s*((s**24*s)\/s)\/s*s**(2\/107) assuming s is positive.\nAnswer: s**(2037\/214)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1274 and 286?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/(8\/(-48)))\/(21\/(-196)))\/(-10)?\nAnswer: -28\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7947253*-0.5.\nAnswer: 3973626.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10803 and -27.\nAnswer: 291681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 7.59379*0.1\nAnswer: 0.759379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-60)\/3)*-8.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + 2 - 0\/(-7). Suppose 2*s = 2, -b - g*s = s - 10. Suppose 2*h = 116 - 86. Solve b*i = 10 + h for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 77 - 44. Differentiate -7 + 33*h - j*h + 8*h**2 with respect to h.\nAnswer: 16*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 66 - 66. Suppose n = -33*v + 30*v + 12. What is the remainder when v is divided by 0 + 0 + 1 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 371055 is divided by 185500.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 9*x**2 + 11. Let d be v(-9). Let p(r) = 2*r**2 - 10*r - 10. Is 34 a factor of p(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -992349 (base 13) in base 9?\nAnswer: -6702243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 43*a - 46*a. Let z(o) = 8 - 5 + 6 + o**a. Suppose -h - 3*x = 0, 5*x = 2*h - h. Determine z(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 304009802?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4625*d**3 - 20189*d**3 - 382*d**3.\nAnswer: -15946*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + m + 6. Suppose -5*c + 32 = -3*c. Suppose q + 0*q = -4*l - 4, -2*l - c = -m*q. Does 2 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-1\/3))**(-4\/15)*r**13\/(((r\/((r*r*r**(-12)*r)\/r))\/r)\/r) assuming r is positive.\nAnswer: r**(172\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.819 times -2778?\nAnswer: -5053.182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 4*t**3 + 3*t + 1. Let y(r) = r + 1. What is h(z) - 3*y(z)?\nAnswer: 4*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210*h - 260 = -262*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/3114570 and 12\/5710045.\nAnswer: 34260270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -0.18?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/11)\/m)**35*(m*m**(3\/11))**(-11\/5))**8 assuming m is positive.\nAnswer: m**(-18032\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 45. Let w = x + -23. Is w a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**1\/x)\/x*x)**(-1\/9))**(-27) assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 40\/(-24)*3\/(-1). Suppose -4*o + 8 = -r*d + 6*d, -5*d + 64 = -4*o. Suppose -8*v = -d*v + 504. Calculate the remainder when v is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6 (b) 9 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 + 20*m - 16. Let l be c(18). Suppose 3*b - 30 = -2*b + 5*v, 4*v = 2*b - l. Calculate the lowest common multiple of 14 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2562 and 388101154?\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of 31*y**2 - 86. Let p(s) = s. What is q(p(l))?\nAnswer: 62*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 28*s**2 - 238*s + 538. Give g(35).\nAnswer: 783","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3*n**2 - 7*n + 3. Let x(a) = -2*a**2 + 4*a - 1. Let c(p) = 3*i(p) + 5*x(p). Let g be c(0). Solve -4 = 4*b + 4*j + 8, 3*b - g*j = 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-20) + ((120\/(-56))\/3 - (-3116)\/266)?\nAnswer: 49\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 205*l - 63. What are the prime factors of p(2)?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 111?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-2\/19))\/m)\/(m*m**(-3\/5)))\/(m**(-3\/5)*m**5\/m) assuming m is positive.\nAnswer: m**(-371\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1156743778 divided by 317.\nAnswer: 3649034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0*t = 2*o - 10, 5*t + o + 49 = 0. Is (-43)\/(-3) - 6\/t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0*a - 12 = -r, 5*r = -4*a + 58. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -281035 - -281049. Suppose -23 = 2*x - 227. What is the remainder when x is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 + 4*a + 3. Let z be b(4). Suppose 5*x + 5*r - 25 = 0, -3*x = -4*r + r - z. Is x a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1085 and 775?\nAnswer: 5425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9385 - 9383. What is the nearest to y in 0.36, 5, 3, 0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 190 + 190 = 0. Solve h + 2*j + 0*j + 9 = s, -11 = 3*h - 2*j for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -33, -3\/10, -1\/4, -8?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 smaller than -14018\/6057?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6424, -25712, -57858, -102862, -160724, -231444, -315022?\n\"Answer: -6429*b**2 - b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44 - -88. Let z = -5 + v. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**4 + 3*r**2 + 5*r + 3 - 3*r**3 - 19*r**2 + r - 5*r + 7*r**2 to k*r + z*r**2 + l*r**4 + n + q*r**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2203, 4747, 7291, 9835, 12379?\n\"Answer: 2544*y - 341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*n - 2*y, -91*n + 87*n = 4*y + 20. Let x be 4\/7*(-18)\/40. Is x bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 10\/11 (b) 0.5 (c) 3 (d) 23\/5 (e) -0.3 (f) -1553 (g) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 397775 to the nearest integer?\nAnswer: 631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 341*z - 324*z = 17. Suppose 3*o = -2*o + 10. Suppose -4 = a - o*a. Is a > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.151605 rounded to 2 dps?\nAnswer: 1.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t**3 - 11*t**2 - 35*t + 79. Let d be p(5). Which is the closest to -3.3? (a) d (b) 0.4 (c) 7.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -25*a**6\/12 + 63*a**5\/10 - 43*a**4\/8 + a**3\/6 - 2540*a. Solve b(d) = 0.\nAnswer: 0, 2\/125, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0446 * 0.787794\nAnswer: -0.0351356124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 2 - 1 + 1 - 2 + (1 + 2 + 1)*(-1 + 4 - 1))*(-6*y + 3*y + 5*y) to s*y + f and give s.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, 17, 64, 109, 140, 145, 112, 29?\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 14 - 2. Suppose 3 = l*w - 17. Suppose 0 = -2*b + b - 3. Put b, w, -1 in ascending order.\nAnswer: b, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3523 and 312.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -47\/292 bigger than 1\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139*o**2 + 159*o**2 + 25 + 309*o**2 + 2*o - 2*o.\nAnswer: 607*o**2 + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1402 rounded to three dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -41*j**2 + 18*j - 11. Let y be g(-13). Let i = y - -43193\/6. Calculate the common denominator of i and -77\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = -189 + 2745. Solve 55*x = 96 - i for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 12:30 AM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/25 of a litre in millilitres?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(720) - (-4 + -3*sqrt(720)) - (sqrt(720) - (1 + 4*sqrt(720)))) + 2)**2 + -5 + 3)*-3.\nAnswer: -105981 - 3528*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28688 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3, -2\/7, -1.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 2*o**2 - 3*o - 9. Calculate the remainder when 16 is divided by p(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_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: What is the next term in -15935, -16621, -18483, -22109, -28087?\nAnswer: -37005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vwg when three letters picked without replacement from {f: 1, a: 2, v: 1, w: 2, g: 2, u: 1}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 25993*g**2. Let p(a) = -28*a + 102. Let y(z) = 23*z - 85. Let j(x) = -5*p(x) - 6*y(x). Give j(w(h)).\nAnswer: 51986*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2001*n**2*w**3 + 188*n**2 + n*w**3 + 1408*n*w**2 + 2*n*w - 21*n - 5*w**2 wrt n?\nAnswer: 4002*w**3 + 376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.6308108 - -0.6294. Round p to five decimal places.\nAnswer: -0.00141","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-1764)\/105)\/((-3)\/10) is divided by 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/11625 and -11\/11565.\nAnswer: 8962875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/11 (b) -0.1 (c) -56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*f**3 + 5*f + 8*f + 11*f**3)*(-14 + 11*f**2 + 4 - 14*f**2).\nAnswer: -3*f**5 - 49*f**3 - 130*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22*z**6 - 4*z**5 - 29*z**4 + z**2 - 15800*z wrt z.\nAnswer: 2640*z**3 - 240*z**2 - 696*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**2 - 26*o - 54. What is the tens digit of b(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, y: 1, q: 11, u: 1, n: 1}. Give prob of sequence nq.\nAnswer: 11\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 + (-10 - -16))*5.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 * -133758\nAnswer: -10700.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - n**3 + 0*n)*(3*n + 5*n + 9*n) - 4*n - 4*n - 123*n**4 + 9*n.\nAnswer: -140*n**4 + n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -1773.\nAnswer: -2\/1773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 7*x + 4. Let g be m(-3). Let w = -13 - g. Suppose -s + w*s - 17 = -2*j, 0 = 4*j - 2*s + 6. Calculate the lowest common multiple of j and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 465 - 487 = -4*h, 0 = -2*l + 10 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - ((5 - -2) + -3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*u**5 + 262*u**3 + 10*u + 3 wrt u.\nAnswer: -60*u**3 + 1572*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 908*c - 809. Give s(1).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -5*l**3 + 61*l**2 - 45*l + 56. Let c(k) = -k**3 + 12*k**2 - 9*k + 11. Let u(d) = 11*c(d) - 2*o(d). What is the units digit of u(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -229*r**4*v**3 + r**4*v - 3*r*v**3 - 2*r + 6*v wrt r?\nAnswer: -2748*r**2*v**3 + 12*r**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -359 - 1071 = 110*w for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 12 = -4*u + a, -2*u + 4*a - 14 = 0. Let r = u + 31. Calculate the highest common divisor of r and 266.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 147299 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2978\/(-6))\/((-8)\/24). Suppose 2*j - c - y = -2*j, 0 = j + 4*c - 368. Let g = -172 + j. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 32 = -158. Suppose 5*d - w = 32. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-42)\/(-49))\/(3\/(-21)). Let i(t) = 2*t + 3*t + 0*t + t**2. Let w be i(m). Solve 0 = -f + w*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1333560 + 432018 = 36*l + 22*l. List the prime factors of l.\nAnswer: 3, 73, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 255032643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 621043 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - x = -5, 3*a + 0 = -3*x - 21 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27070 (base 10) in base 5?\nAnswer: 1331240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -37*m**2 - 3*m - 7. Let g(l) = -18*l**2 - l - 3. Calculate 3*f(n) - 7*g(n).\nAnswer: 15*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 203076\/13 bigger than 15620?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*f*y**2 + 17*y**2 + 5*y wrt f.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 40343711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3627, -3633, -3629, -3609, -3567, -3497?\nAnswer: -3393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 2*l**2 - 3*l + 4. Let b be y(-3). Suppose -b*d + d + 1458 = 0. What are the prime factors of (-8)\/(-3)*d\/24?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -1506, 8, -3\/5 in descending order.\nAnswer: 8, 1, -3\/5, -5, -1506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -5*i - 5. Let s(j) = j + 1. Let g(l) = -17*l - 17. Let m(f) = g(f) + 3*s(f). Calculate 4*m(o) - 11*v(o).\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 263 = 243 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 10:57 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 17856 = -4*t, t - 5*v = -430 + 4876. Is 7 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tctcttccjcttttrr. Give prob of sequence jr.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 930 + -628. Does 59 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.92 >= 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -125683.1478 rounded to the nearest ten?\nAnswer: -125680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -109*s**2 - 633*s + 630*s - 4 + 4 to w*s + r + u*s**2 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 10567383400 to the nearest 1000000.\nAnswer: 10567000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 12 + -1 + -8 + 0 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1003879*b**4 + 268232*b**2?\nAnswer: -24093096*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 713435730 by 101919390.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 139 and 14317.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20) + -2 + -3.\nAnswer: -5 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 4*g**2 + 3*g + 3. Suppose -5*c - 10 = 2*a, 4*c + 3*a - 10 = 5*a. Suppose c = 2*i + 10. Let r be (56\/20 + -2)*i. Calculate x(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/1062 and -179\/20664.\nAnswer: 1219176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of l**4\/48 + 391*l**3\/12 + 152881*l**2\/8 + 272*l - 3. Let q(a) = 0. What is a?\nAnswer: -391","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/4 - 2 - -57. Let w(k) = k + k + 59 - r. Let g(s) = 8*s**2. What is w(g(a))?\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-112)\/(-240) - (4\/3)\/2. Let s = 0.3 + -1.3. Let t be -5*(-3 + (2 - 0)). Which is the nearest to s? (a) r (b) t (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.730219 millilitres to litres.\nAnswer: 0.001730219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**28\/(h\/(((h**26*h)\/h)\/h)*h))\/(h**27\/((h\/h**(-19))\/h)) assuming h is positive.\nAnswer: h**43","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 0*y = -3*n - 210, 5*y - 3*n = -342. Let d be (y\/(-18))\/(2\/12). Suppose 21*h - d*h + 70 = 0. Is h a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-1) + 171\/(-38)*(-38)\/57?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iin when three letters picked without replacement from nmiinnnmi.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 2 = -5*v - 167, -3*k + 94 = 2*v. Let j be ((k - 2)\/6)\/(2\/2). Suppose -10 = -j*w + 65. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 206011 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -33716678 to the nearest ten thousand.\nAnswer: -33720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -20890 (b) 45 (c) 3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-10))\/(1\/(-5)). Let f be 6*1\/2*c. What is the third derivative of -4*m**2 + 14*m**5 + f*m**2 - 13*m**5 + 3*m**2 wrt m?\nAnswer: 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 80 - (39 - (-22 - -83))) + 20?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -13560 divided by 181\nAnswer: -13560\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7279776 and 340032.\nAnswer: 160155072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 130270974 or 2\/9?\nAnswer: 130270974","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 4*(-4 + (-2 + (2*sqrt(931) - sqrt(931)))*-3))**2.\nAnswer: -2016*sqrt(19) + 134208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 7) in base 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1725153 is divided by 663.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 + -11. Let n = i - 10.0103. Round n to three decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -18*m**5 + 219864*m**4 + 3375400*m**3 + 978548*m**2 - 1810070*m + 366900 = 0.\nAnswer: -15, -1, 1\/3, 12230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 98 - 43 = 2*y, 4*v - 26 = -y. Solve -y*x = -11*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5409571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(14)\/sqrt(2) + -5.\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 10010001100000111?\nAnswer: -10010001100000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -3*g - 43, -5*p - 1074*g + 1075*g - 39 = 0 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2113704268456.85796134 - -2113704086628.5. Let d = b - -180665.35795. Let j = d - -1163. What is j rounded to 6 decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4\/7, 1, -3\/2, 5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 9*g**2 - 18*g + 5. Let b be m(2). Suppose h - 24 = -b*h. What is v in 0*v + 0 + 2\/3*v**3 + 1\/3*v**2 + 1\/3*v**h = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that z**2\/7 + 287617*z\/7 - 246534 = 0.\nAnswer: -287623, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -39 - 34 + w**2 - 36 + 107 + 4*w. Give c(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -8052*z**2 + z**3 + 4 + 0*z + 2*z + 8059*z**2. Determine u(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - 4650\/(-580))*((-748)\/(-1210) - (-4)\/22)?\nAnswer: 2\/145","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10441656775 + -7195.\nAnswer: -10441663970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2000 = 28*v + 3428 for v.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 9*j**2 - 192*j - 772. Let n be w(-4). Which is the closest to -2? (a) 2 (b) n (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.1776 times -1104\nAnswer: -1300.0704","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 59256 - 40681. What is the hundreds digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight thirds of a millennium?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14\/13 + -83\/65. Let i = -0.133 - -0.133. Suppose u = 5*u. Which is the closest to u? (a) q (b) 0.5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -9. Suppose f*p - 7 = 4*p. Solve 2*o + h + p = 0, -2*o + 6 = -4*h + 28 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/1 + (2 + -2)\/5. Suppose s + 3*s = -p + 9, f*p = -15. Let b(q) = -q + 4. Give b(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 0 = 12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5389564.\nAnswer: 2, 1347391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 12429, 11, -1, 4, 1 in ascending order.\nAnswer: -1, 1, 4, 11, 12429","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 174234?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 - 27 = 46*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3021, -12085, -27187, -48321, -75481, -108661, -147855, -193057?\nAnswer: -244261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a centimeter in millimeters?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -341705 - -341671.0811. Let a = 0.0189 + x. Let f = -33.900277 - a. What is f rounded to 5 dps?\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 307, 620, 931, 1240, 1547, 1852, 2155?\n\"Answer: -q**2 + 316*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15 by -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145 is divided by 45.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g. Let s(l) = l**2 + 4*l - 3. Suppose -u - 4 = -2*u, 0 = 5*p + 5*u - 30. Let j be s(p). Let b(o) = -j + o**2 + 9. Determine b(q(k)).\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -73 - (-37 - -7) - -41\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8 + 912\/(-120))\/(2\/(-20)). Sort 20\/7, y, -14, -3 in decreasing order.\nAnswer: 20\/7, -3, y, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 + (10 - (-40 - -23)) + -4.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/2 - 54\/(-12). Suppose -l + 7 = -3*f. Is 146 + ((-12)\/(-4))\/f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11c052 (base 15) in base 4?\nAnswer: 3033222101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pb when two letters picked without replacement from zppzzkzkkpzzkzkzkb.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53 - 51. Solve 5*f = -5*z + 34 + 1, 6 = -r*f + 3*z for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 9:00 PM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.7 + 21.3. Let o = u + -21. Let f = 2 - 1.8. Which is the smallest value? (a) f (b) o (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**4 - 3789*r**3 + 2700936*r**2 - 534349248*r + 33919649280.\nAnswer: -3*(r - 184)**3*(r + 1815)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 11:31 AM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 581363460 to the nearest 100000.\nAnswer: 581400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1300)\/(-80)*1 - 17. Put -3, 1, 40, w, -1\/5 in descending order.\nAnswer: 40, 1, -1\/5, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 82 = 31. Suppose -84*i + 204 = -72*i. Calculate the highest common divisor of i and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*p**3*x**5 + 12*p**3*x**3 + 3*p**3*x - 37*p*x**2 + 2*x**3 wrt x?\nAnswer: 480*p**3*x**2 + 72*p**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15258 - 15257. Put o, -844, -1\/3 in decreasing order.\nAnswer: o, -1\/3, -844","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**2 + 24*j + 48. Let d be c(13). Suppose 26*o + 21 = -3*u + d*o, 0 = -2*u - o - 14. Let n(p) = -p**2 - 7*p + 3. What is n(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(7) + sqrt(63) + (sqrt(63)*2)**2 - sqrt(7)).\nAnswer: 3*sqrt(7) + 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s - 1. Let t(b) = -12*b - 38. Determine -5*d(r) - t(r).\nAnswer: 2*r + 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -4. Let t = -176.03 + 182.03. What is the third biggest value in t, 1, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 0.1, -4\/7, 4, 2\/5, 0.04?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + 21\/18 - (-1064607670)\/84. Let y = 22443901 - z. Round y to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.195 + 6.115. What is h rounded to one dp?\nAnswer: 5.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 4*j = 4 + 9, -j = -5*c + 28. Solve -2*y = -4*k - 2, 0 = k - c*y + y + 11 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -17 + -10?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36276 - -36506. Calculate the remainder when 779 is divided by a.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*s + 104122 + 9989. What are the prime factors of s?\nAnswer: 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/348)\/(30\/(-60))\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 a factor of 91514668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of x**4 + 2*x**3 + 338404*x**2 + 2*x + 68841562 wrt x?\nAnswer: 4*x**3 + 6*x**2 + 676808*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12\/3665 - -524239\/43980. Let d = -50591492 - -910056313\/18. Let s = d + 32816. What is the common denominator of s and r?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -35 and 792?\nAnswer: -27720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c\/(c\/(c**(-34)*c))*c**(-17) assuming c is positive.\nAnswer: c**(-49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -3*c**5 - 1326*c**4 - 127605*c**3 - 849870*c**2 - 1910412*c - 1421064 = 0.\nAnswer: -306, -129, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 30 + 3051341?\nAnswer: 3051411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-6) + 1480\/240.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -367.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pkkhphkkkhphphptp. Give prob of sequence kp.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*c**6 + 32*c**4 + 59*c**3 - 21569*c**2 wrt c.\nAnswer: -480*c**3 + 768*c + 354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 11491*o + 8. Is x(15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.522 - -680.478. Let i = -682.948 + u. What is i rounded to 1 dp?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -381300 rounded to the nearest 10000?\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 64275\/60*8\/(-1220) + 7. Which is greater: g or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l**3 - 65*l**2 + 43*l - 56. Determine d(21).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 904 a factor of 24467664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 711117749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 542241082 a multiple of 306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 286267 + -2576383\/9. Find p such that -40\/9 + 2\/9*p**3 - y*p**2 + 58\/9*p = 0.\nAnswer: 1, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (-1 - -5 - 3) + 2 + (-316 - -323).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-36)\/(-14))\/((-3)\/(-14)). Suppose 2*k - 5*k = m. Let h = k - -7. Which is greater: h or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -73, 3, -476, 1.\nAnswer: -476, -73, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3 + 18*u**2 - 2*u - 18.\nAnswer: 2*(u - 1)*(u + 1)*(u + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*m = 60. Suppose 3*i + m = 0, 5*i - 4*i = 3*p - 14. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 545 + -558. Let i = -12 - -8. Let s = i - g. Calculate the remainder when s is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.274 to 1 dp.\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*y - 76*y + 36*y)*(4*y**3 + 6*y**3 - 15*y**3).\nAnswer: 30*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7672 is divided by 32?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 + 9. Let u(p) = 7*p - 9. Let n(z) = -23*z + 28. Let o(d) = 2*n(d) + 7*u(d). Calculate the remainder when o(31) is divided by t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -2*o**5\/15 + 4052*o**4\/3 - 22637056*o**3\/5 + 73611121564*o**2\/15 + 5743448769346*o\/15 = 0.\nAnswer: -73, 0, 3401","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**21*m*m*m**9*m*(m*m*m*(m\/m**(-1\/4)*m)\/m*m)**(2\/15) assuming m is positive.\nAnswer: m**(337\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, 57, 54, 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + 1. Suppose -395 = -g*d + 5*m, -2*d = -m - 0*m - 154. What is the highest common factor of 30 and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxyyxyxxxpy. Give prob of sequence xx.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -202140 - 2014?\nAnswer: -204204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -10492, 3, 4, -3 in increasing order.\nAnswer: -10492, -3, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 5:39 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5306*b - 1786*b - 253768 - 129895 + 73903 = 0 for b.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(87\/(-58) + -1 + 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 5*p - 3*q - 9, 4*p + 2*q = -6. Which is bigger: 5 or p?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 2*t**2 + 6*t + 6. Let i be m(-4). Let r = i + -6. Suppose -24*f - 95 + 167 = 0. Solve f*z = -z - r for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-11)\/77*(5 + -5). Let n(r) be the second derivative of 16*r + 7\/120*r**5 - 1\/2*r**2 + 13\/36*r**4 + o + 13\/36*r**3. Let n(z) = 0. What is z?\nAnswer: -3, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -296 or 2?\nAnswer: -296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s + 13. Let k(u) = u. Let f(m) = -282*m - 7329. Let v be f(-26). Give v*k(q) + o(q).\nAnswer: q + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4504927 and 504?\nAnswer: 324354744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 5) + (-88 - -95)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z + 59*z**3 - 5*z - 49*z**3.\nAnswer: 10*z**3 - 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (4 - 7)) + (20 - (9 - -24))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3, 0.2, 7504?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.053 + -12.803. Let t = x - 0.25. Let j = t - -14. Which is smaller: -0.4 or j?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 2122 = -4*m - 0*m, -5*m + 2673 = 4*h. What is the greatest common divisor of 41 and m?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -78759979*y**2 + 64969111.\nAnswer: -157519958*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21765255 is divided by 82?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -177.102 + 0.102. Let i = s - -122. Let b = -55.0105 - i. What is b rounded to three decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.073 and 3695147776.\nAnswer: 3695147776.073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/6)\/((-75)\/(-175)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -43*t**4 - 3*t**3 + 9*t**2 - 3. Let n(x) = x**4 - x**3 - 1. Let v = 138 + -135. Let k(d) = v*n(d) - a(d). Find the third derivative of k(z) wrt z.\nAnswer: 1104*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*m**3 + 37*m*o + 2*m - 401*o wrt m?\nAnswer: 9*m**2 + 37*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 30637816?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - -5*(-6)\/15. Which is smaller: 0 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 29 - 7 = 0. Let g be (-8)\/(-45) + 4\/l. Let v be (-3)\/8 - (31\/24 - (-68)\/(-68)). Put v, g, 0.5 in decreasing order.\nAnswer: 0.5, g, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from elklkddllltl. Give prob of picking 1 d, 1 e, and 1 l.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - p**2 - p - 1. Let t(j) be the third derivative of 7*j**6\/120 - j**5\/15 - j**4\/6 - 2*j**3\/3 - 799*j**2 + 1. Determine 4*r(n) - t(n).\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -9*z**3 + 4*z**2 + 8*z + 101. Suppose -199 = 53*i + 119. Let s be f(i). What is s rounded to the nearest 100?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*o + 0*o + 3*o)*(-10*o + 3*o + 5*o)*(5*o - 3*o - 4*o) as n + v*o**3 + u*o + x*o**2 and give v.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 736.854ng to milligrams.\nAnswer: 0.000736854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + s. Let x(v) = -3*v**2 - 2*v - 4. Calculate 4*m(c) + x(c).\nAnswer: c**2 + 2*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + f + 1. Let x be a(0). Let r(p) = 10*p - 54. Let b be r(7). Sort 4, x, b in decreasing order.\nAnswer: b, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b**2*n*u - 39*b**2*n + 2*b*i*n + i*n - 147*i*u with respect to u.\nAnswer: b**2*n - 147*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 896?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13341442 + 4856290695\/364. Let b = t + -206\/13. Which is bigger: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 4*c**2 - 6*c + 5. Let z(x) be the first derivative of -7\/2*x**2 + 5\/3*x**3 + 6*x + 1\/4*x**4 + 1. Determine -5*m(w) + 4*z(w).\nAnswer: -w**3 + 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 9*y**2 - 8*y + 14. Let i be d(-7). Let u be 6\/10 + i\/70. Solve -k + 5 - u = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 567*s**2 - 6810*s + 4. Calculate z(12).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 less than 43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m = 5*m - 3*k + 9, 2*m + 2*k = 6. What is the closest to m in -1, 3\/8, -2?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (7209\/(-54))\/(-2*1\/4)?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (18\/(-135))\/(2\/6). Which is the second biggest value? (a) -1\/3 (b) 5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 10.493349 months?\nAnswer: 0.087444575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-750)*24*(-700)\/28?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000073491 to six decimal places.\nAnswer: 0.000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 9*a + 9. Calculate j(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 1. Let a(x) be the third derivative of x**4\/6 - 22*x**3\/3 - 11*x**2 + 8*x. Determine 4*a(w) + 176*o(w).\nAnswer: 16*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 2*f + 12. Let m be (-27)\/(-42)*f\/6. Let t = 0 + 1. Which is smaller: m or t?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1025682 is divided by 146522.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrfrrr. What is prob of picking 2 r?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2023213 (base 4) to base 8.\nAnswer: 21347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.68 - -1.28. Put -52, g, 2 in descending order.\nAnswer: 2, g, -52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 78.89627 milligrams?\nAnswer: 0.07889627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 + 42. Let x = k + -13. Which is the nearest to -2? (a) 3\/7 (b) x (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 3*x - 4*f = -7939, 3*x - 7940 = -5*f. Suppose 6*r - x = -329. What are the prime factors of r?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*j = 63*j - 4*m - 73, -3*m - 46 = j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3 - 102*o**2 + 3468*o - 39304.\nAnswer: (o - 34)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 - 105*l - 1388. Let w(a) = -a**3 - 2*a**2 - a + 1. Calculate the remainder when z(-89) is divided by w(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(405)*-2 + -5)*1 - (4 + 1 + sqrt(405) + sqrt(405) + sqrt(405) - sqrt(405)*-2*4))*2)**2.\nAnswer: 9360*sqrt(5) + 274180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 11:01 AM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -59 + 60. Let n(x) = -x**2. Let k(s) = 7*s**2 + s - 1. Let b(m) = -k(m) + 4*n(m). Calculate b(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.51 + -0.29. Let j = 215880 - 215880.220034. Let m = j + a. What is m rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9601534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (8 - 2) + 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - ((-12)\/44 - 4484\/418)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 5*o - 78. Suppose 0 = -o*f - 8*f + 84. Solve -2*t = 3*w - 1, -5*t - w - 5 = f*w for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1140)\/(-38) - 57 - -67)\/(-18).\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -225003*q**2\/2 + 3*q + 3. Suppose -25 = 2*y - 7*y, 4*y - 24 = -4*m. Let o be s(m). Round o to the nearest 10000.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.54 - 0.46. Let n be (-1 - (-9)\/7) + (-29 - -29). What is the nearest to f in n, 1, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 22.9?\nAnswer: 9.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, u: 10, x: 3, i: 2, v: 2}. What is prob of sequence vuuu?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - (-11 + (-5 - -20) + 15).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - 0. Let c = g + -9. Solve -c*r = -r + 25 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3019199853?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43.2 + -6.4. What is u rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 404783465?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.1, -5\/11, 5, 4, 0.3 in ascending order.\nAnswer: -2, -5\/11, -0.1, 0.3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 2:08 AM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97, 103, 113, 127, 145, 167, 193?\nAnswer: 223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + 7 + (-16 - -4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28325*j - 28320*j + g - 1, -g + 5 = 9*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 19*r - 9. What is the units digit of c(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 6*n + 2. Let h be (-2)\/1 - (0 + -20). Suppose 3*x - a + 0*a - h = 0, 0 = 4*x - 4*a - 32. Is d(x) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*s + 12*s + 87 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 + 18 = -3*y - 4*p, y + 2*p - 10 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67, 141, 221, 307?\nAnswer: 399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*m - m + 2*m)*(m**2 + m**2 + 0*m**2) - 21 + 13 + 19 + 15*m**3 to the form o + z*m**2 + j*m + v*m**3 and give o.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 252762904.\nAnswer: 2, 31595363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: Let z = 216 - 220. Which is the third smallest value? (a) 1 (b) z (c) 0.1 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1430440?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 4*g - 2. Let c be k(5). Let y be (-6)\/(-9) + (-50)\/c. Is 4 a factor of (-3)\/(-2)*y\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/8 and -121\/314520.\nAnswer: 314520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -13 + (-3162 - -3159 - (-1 + 20 - 1))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 32851030\/19 and 1729003 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 1 - (23 - 22).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 35400 = d + 3*n, -17700 = -d + 8*n. Calculate the remainder when d is divided by 63.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -234*j**3*t**3*x**2 + j**3*t**3*x - j**3*t**3 + 6*j**3*x**2 + 14*j**3*x - 109*j*t*x wrt x.\nAnswer: -468*j**3*t**3 + 12*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 10*o**2. Let m(c) = 26*c. Calculate z(m(g)).\nAnswer: 6760*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -v - k - 8, 3*v = -4*k + 14. Let i be (4 + -2)\/((-42)\/v). Let c be ((-148)\/(-48) - 3)\/((-12)\/36). What is the smallest value in c, -5, i?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -433*b - 430*b - 166*b**2 + 863*b.\nAnswer: -166*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 148*n - 4557. Determine f(31).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of 2\/3*r**3 - 4*r**2 + 0 + 0*r + 0*r**4 + 0*r**5 - 1\/30*r**6. Find the first derivative of g(z) wrt z.\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140407573 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 12:14 PM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 85*m + 2651. Determine o(-25).\nAnswer: 526","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 1)*(-5 - (-221)\/26).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 8 = -2*t. Let v = t + 7. Let l = v + 16. Calculate the smallest common multiple of 20 and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3594 and 12?\nAnswer: 7188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**1*q**(3\/5))\/((q**1*q)\/q)**(-2))\/((q**(3\/11)*q*q**3)\/(q*q*q*q**(-3\/8)*q\/(q*q*q**(-3\/8)))) assuming q is positive.\nAnswer: q**(73\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 173599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-12) - (10 + (-252)\/24)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8751466.\nAnswer: 2, 53, 82561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 149 and -1.69137.\nAnswer: 147.30863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 4*i = -0*i - 27, -3*r - 5*i + 27 = 0. Suppose r = -3*f + 111. Is 7 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 4*h + 3 + 27, -3*h = w + 5. Suppose w*z - 276 = z. Let d = z + -42. Solve 4*b - b = -d*g + 15, 0 = b - g - 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**2 + c**2 + 0*c**2 - 2*c**2 + 0*c**2 + 3*c**2 + (1 + 1 - 1)*(2 + c**2 - 2) + 2*c**2 - 2*c**2 + 2*c**2 + 7*c**2 - 3*c**2 + 0*c**2.\nAnswer: 11*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9424041*z**4 - 141*z**2 - 58306*z + 1?\nAnswer: -226176984*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -142*b**5 + 3*b**2 + 1. Let r(y) = 283*y**5 - 6*y**2 - 2. Let l(f) = 7*o(f) + 3*r(f). What is the third derivative of l(n) wrt n?\nAnswer: -8700*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -3 - 5 - 4 - -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4*n + 4. Let i be u(6). Suppose 20*r = 11*r + 378. Calculate the greatest common divisor of r and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-8 - 48)) + -25\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 5 + 15. Let v be ((-24)\/a)\/(6\/10). Find the second derivative of 22*g**v - 23*g**2 - 26*g**2 - 7*g wrt g.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*i**2*j + 3602*i**2 - i*j**2 + 464*i*j + 6*j**2 + 35*j + 6442 wrt i?\nAnswer: -4*i*j + 7204*i - j**2 + 464*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2095*z + 2780*z - 1228*z + 10341*z + 5153*z.\nAnswer: 19141*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwbw when four letters picked without replacement from {w: 3, b: 6, m: 1, t: 4, f: 1}?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 a when three letters picked without replacement from abwkyywawabkkkk.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -230 - h - h**2 + 230 - 27*h**3 + 18*h**3 as x*h**3 + s*h + a + i*h**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 3*l**2 + 9*l - 51. Let q be g(4). Put -19, 6, q, 2 in ascending order.\nAnswer: -19, q, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - 0)*(83 + -96). Calculate the highest common factor of 1430 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 5:39 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -407921, -407920, -407919, -407918?\n\"Answer: n - 407922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12877 is divided by 184?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 6*f**2 + 3*f - 7. Let n be q(-7). Let j be (7\/n)\/((-1)\/(-6)). Factor 4*w + 2*w + 5 + 3*w**2 - j.\nAnswer: 3*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + 9*r + 9. Give l(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t*t*t\/t**(7\/6)*t))**(-5\/3)\/((t**(5\/7)*t*t)\/t)**(-11) assuming t is positive.\nAnswer: t**(2551\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114967801.\nAnswer: 13, 8843677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 0*t = -4*q + 27985, 5*q = 3*t + 35009. Does 125 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 less than 859819833780?\nAnswer: 859819833779.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**3 - 2*f**2 - f + 2. Let a be k(-2). Let c be ((-96)\/a)\/(4\/30). Suppose -3*s = 54 - 216. What is the greatest common divisor of c and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2a (base 11) to base 5\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jrjjlkl. Give prob of sequence lr.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -6 - ((-2 - (0 - 8)) + -11)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -5) + -18 + 16\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 79516525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.81915um in kilometers?\nAnswer: 0.00000004181915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -291 - -1457\/5. Which is the closest to 1? (a) 4 (b) 13 (c) k (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -129 and -3?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2067452*o**3*s - 2*o**2*s + 7125*o**2 - 25*o*s wrt o?\nAnswer: 12404712*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 77523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 17 = -3*a, 2*a - 1 = 5*y + 5*a. Let k be (-4 - -2)\/(y\/84). Suppose 2*u - u + 5*b = -3, 0 = 4*u - 4*b - k. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6831158 and 2.2?\nAnswer: 15028547.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-4) - (-11)\/4. Let n be -5 + (-41)\/(-8) - 115\/(-40). Suppose v = h + n. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 2*m**3 - 668580*m**2 + 55957713714*m - 13836423162736 = 0.\nAnswer: 248, 167021","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zul when three letters picked without replacement from {k: 1, u: 5, z: 1, l: 1, w: 2}?\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 12*g**2 - 15*g - 41. Let c be p(10). What is the units digit of (-2)\/c - 165815\/(-117)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**2 + 54 - 27 - 27.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.281 (b) -5 (c) 4 (d) 0.3 (e) 841\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*f + 28*f**2 + 3*f + 9*f.\nAnswer: 28*f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does -2 = -618.08?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 51\/5? (a) 0.4 (b) -3 (c) 0.036\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (67 - 624*q + 185*q - 67)*(-q**2 + 4*q**3 + q**2) in the form i*q**4 + s*q**2 + w + z*q**3 + c*q and give i.\nAnswer: -1756","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 445*r + 2 = -440*r, 3*r - 10 = -4*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/(-9)*-4*(-2)\/60?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.21? (a) 1 (b) -0.3 (c) -5 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + 91 - 222 - (-23 + -5).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 AM and 6:51 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**4 - 94*x**3 - 1416*x**2 - 6264*x + 7776 = 0 for x.\nAnswer: -18, -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*z + 55*z - 28*z)*(0 - 1 + 0) + 0*z + 2*z + 5*z.\nAnswer: -13*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/(-112) + (-20)\/(-14)*2. Suppose -75 = -3*u - 3. Calculate the greatest common divisor of h and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -4 - 3 + 0 + 6 - 11*m. What is the tens digit of l(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/4 + (-14)\/4. What is the common denominator of (-67)\/2 + j + 2 and (-5)\/((-44)\/(-12)*2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-107)\/6 + (-5)\/30)*1)\/((-348)\/522)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*i**2 - 1718*i - 6568 = 0 for i.\nAnswer: -1642\/19, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -25*g**4 + 300*g**2 + 23307 wrt g.\nAnswer: -100*g**3 + 600*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -143504 equal to -143504?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of -5*t**2\/2 - t + 61. Let u(f) = -11*f - 1. Calculate 9*k(m) - 4*u(m).\nAnswer: -m - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.8 + -1.7. Let d = -0.1 + -0.4. Which is the nearest to m? (a) -3 (b) -2\/3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4\/4 + 7107*m**3\/2 + 50523661*m**2\/4 + 25251171*m + 12623809.\nAnswer: (m + 1)**2*(m + 7106)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9381 is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 251441 (base 10) to base 15\nAnswer: 4e77b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -25*a**2 + 10*a. Let k(q) = 8*q**2 - 3*q. Let t(l) = 10*k(l) + 3*y(l). Let v(h) be the third derivative of h**5\/30 + h**2. What is v(t(i))?\nAnswer: 50*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.4137194 - 46.4146294. Let z = c - -46. What is z rounded to 4 dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -16. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 5*r**2 - 36*r - 180. Let p be x(-7). Are p and -11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -22062, -21574, -20262, -17718, -13534, -7302, 1386, 12938?\n\"Answer: 68*l**3 + 4*l**2 - 22134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205320363.\nAnswer: 3, 37, 1849733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 1:18 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*q + 1043 + 93426. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50573, -202291, -455163, -809195, -1264393, -1820763, -2478311, -3237043?\nAnswer: -4096965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -17 (c) -0.6 (d) 3\/4 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 104874053 to the nearest integer?\nAnswer: 10241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 3:57 AM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {n: 1, o: 2, q: 14}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37156?\nAnswer: 2, 7, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3.589 times 5.9\nAnswer: -21.1751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -30 in 0.4, -6.43, -0.0463?\nAnswer: -6.43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {y: 3, n: 5}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20967 is divided by 430?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 14 - 6 = -3*v, 0 = -5*v + 20. Is 20 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -v - 4*w + 38152, -v - 2*w + 9543 = 0. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 3*p**3 - 50*p**2 - 40*p**2 + 89*p**2 + p**3 + 2*p + 28 in the form q*p**2 + x*p + n + s*p**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 81\/7 - 11. Let p = -55.4147 - 0.0853. Let k = -55.2 - p. Which is the closest to -0.1? (a) i (b) k (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 5*s - 982 = 0, s - 4*s + 1014 = 3*z. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*u - 3*u + 2*u)*(-8*u**2 + 8*u**2 - 7*u**3) to the form r*u**2 + i*u + p*u**3 + h*u**4 + c and give h.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hgeeswws. What is prob of sequence ghe?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-9)\/(-1512)*(-16)\/10.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7297, 14528, 21759, 28990?\nAnswer: 36221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 10 = -q + 3, -3*q - 5*x + 25 = 0. Let y be (10\/q - -45) + -4. Calculate the greatest common factor of y and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8736704 < -8736794?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 11842589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1239, -1284, -1359, -1464, -1599?\n\"Answer: -15*s**2 - 1224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - 4*p + 2. Let s be x(4). Suppose d = -2*k - 3*k + 48, 0 = d + s*k - 36. Suppose 0 = -2*m + 24 + d. Is m a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**3 - 2*x**2 - 2*x - 1. Let k be o(-1). Let n(g) = 161*g + 1293. Let h be n(-8). Suppose c + 15 - 177 = h*b, 0 = -b + k. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 4*s**2 - 136*s - 42. Calculate i(34).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1968444140?\nAnswer: 2, 5, 13, 59, 128321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1430, -2880, -4326, -5762, -7182?\n\"Answer: t**3 - 4*t**2 - 1445*t + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and 27530.\nAnswer: 27530.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1338 is divided by 96?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -4*t**2 - 7*t + 3. Let n(x) = -7*x**2 - 14*x + 5. Let s(y) = 5*c(y) - 3*n(y). Let g be s(-6). Let b(h) = -h**2 + 3 + 163*h - 168*h - 2. What is b(g)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3482*h = -3559*h - 385 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*l = -79*l + 934 + 494 for l.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 146.3716g in nanograms?\nAnswer: 146371600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1132754366.\nAnswer: 2, 6911, 81953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11797 + 11056. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f = 5*w - 19*f - 252, -13*f = 5*w - 188. What is the remainder when 1964 is divided by w?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 70*h + 120. Let m be n(1). Solve 0 = 6*l - 160 + m for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2) - sqrt(4)\/sqrt(2)) + sqrt(2) + 2 - (4 + sqrt(32) - sqrt(2)))*3 + (sqrt(18)\/sqrt(27))\/(-3*2*sqrt(3)))**2*6 + 3.\nAnswer: 436*sqrt(2) + 17794\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9\/4 + -3\/4. Sort -0.1, -0.2, k in increasing order.\nAnswer: -0.2, -0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002651415 rounded to six dps?\nAnswer: 0.000265","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -70*c*p**3 + 19*c*p**2 - 2*c*p + c - 4*p**5 + 1180*p**3 - p**2 + 205*p wrt p?\nAnswer: -420*c - 240*p**2 + 7080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.28 (b) -2 (c) 4 (d) 2\/2731 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 435519127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177*b - 140 = -187*b. What is the remainder when 75 is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 110*q**2 - 3 - 7 - 114*q**2 + 2 + 2*q + 6 in the form d*q**2 + a + y*q and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.0541, -3\/2, 1\/2, -1\/4, 2, -0.9, 0.4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -5, 11, 8, -6, 4 in descending order.\nAnswer: 11, 8, 4, -5, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -2\/5, 5, 1\/5 in decreasing order.\nAnswer: 5, 1\/4, 1\/5, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -9 (b) -4 (c) 0 (d) -44 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 8 + 9 - 117*v - 1.\nAnswer: -117*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 60\/(-14)*1064\/(-57) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 4*d**2 - 3*d - 4. Let l(a) = -2*a**3 - 9*a**2 - 7*a - 9. Let n(q) = -2*l(q) + 5*r(q). Let k = -29 + 26. Determine n(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2671804061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -254107338 divided by 5062\nAnswer: -50199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r + 18. What is the lowest common multiple of 18 and b(0)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/((o*o**(7\/3))\/o)*o))\/o**(-2\/5))**(-38) assuming o is positive.\nAnswer: o**(-988\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105 and 12033?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3*s + 5044 = 2*s, 5*l + 6305 = 2*s. Let b = 2439 + l. Suppose -2*d + 2952 = 5*i + d, -2*i + b = 4*d. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1\/4 (b) 0.64 (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -33*d**2\/2 + 2. Let t(m) = -1678 - 2*m**2 + 1678. Determine t(n(j)).\nAnswer: -2178*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 7. Which is the closest to 1? (a) -6\/7 (b) z (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3950339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 6*u**2 + u + 3. Let a be b(3). Suppose -3*q + 4*s = 36, -s - 10 = 2*q + s. Let n be 3\/(1 + 7\/q). Calculate the greatest common divisor of n and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y + 4. Let l(p) = -1. Give -4*l(i) - w(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (16 - (3 + 8))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-56)\/238*(-34)\/12\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.09 or 23.67?\nAnswer: 23.67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 2127?\nAnswer: -212a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 316, 1342, 3052, 5446?\nAnswer: 8524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in 25, 5\/11, 13.1?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 148.272007 to one decimal place.\nAnswer: 148.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -880.818 - -880. What is r rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a decade in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3991098 is divided by 87.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1340, 1193, 952, 623, 212, -275, -832, -1453?\nAnswer: -2132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 6:19 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -82 - -340. Suppose 0 = 5*n - 2*h - h - 422, 3*n - s = -3*h. List the prime factors of n.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10 - -2363?\nAnswer: 2353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120 + 120 - 17*k**3.\nAnswer: -17*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/50 of a kilogram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 - 15) + (-3 - (-2 - 0))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 41013\/651*(-2)\/7.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*x**4 + 53*x**4 - 10*x**3 + 2*x - 30*x**4 + 6*x**2 - 11*x**2 + 8*x.\nAnswer: 5*x*(x - 2)*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7315.528cm to meters.\nAnswer: 73.15528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40564034?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l - 6*l - 3*l + 4*l. Let h(j) = -j. Suppose 0*z + 2*z = -10. Determine z*h(n) + y(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63004 divided by -6.\nAnswer: 31502\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23489*s**3 - 23488*s**3 + 6*s**5 + 96*s**2 - 2 - 22*s**5 wrt s?\nAnswer: -960*s**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 412851 - 13*n**2 + 13*n**2 - 412851 - 7*n**2.\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4014, 4011, 3994, 3957, 3894?\n\"Answer: -w**3 - w**2 + 7*w + 4009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + (-15 - ((14 - 37) + 17)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -198062*t + 269991 wrt t.\nAnswer: -198062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 - 1098*h**2 - 299757*h + 300852.\nAnswer: 3*(h - 548)*(h - 1)*(h + 183)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-54) + 34\/30 - 1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -465 - 158 = -36*i - 263 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (1207\/(-284)*-24)\/6\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -332*l = -341*l + 162. Let u be l - 9 - (-14 + -1). Solve u = 11*b - 31 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12544 + 8.0894747?\nAnswer: 12552.0894747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -46*w + 16. Let i be u(11). Let y = -275 - i. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2965778140 to the power of 1\/2, to the nearest integer?\nAnswer: 54459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35 - 38. Let v be 353\/(l - -2 - 0). Let o = -192 - v. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 38\/7 of a week?\nAnswer: 912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n - 5. Let s(c) = 2*c - 5. Let r(x) = 4*h(x) - 3*s(x). Let q be r(-4). Suppose j - 9 = -q. What is the lowest common multiple of j and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o*o\/o**2*o))\/(o*o*o\/o**(2\/5))*(o\/(o\/((o\/(o**0*o*o)*o)\/o*o)))**(2\/61))\/((o**6\/(o**5*o))\/(o*o**2\/o)**(-3\/10)) assuming o is positive.\nAnswer: o**(-21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 127385054*b**3 - 209575365 wrt b.\nAnswer: 382155162*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 8663 - 22583\nAnswer: -13920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 5*v**2 + 57*v - 233. Let m be n(13). Calculate the highest common factor of m and 429.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 51?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1128)\/3262 - 18\/(-63). Let g = y - 8755\/13281. Let m = -1349 + 16145\/12. Calculate the common denominator of m and g.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45 + (-6)\/2 - 26?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 733682 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g + 0*v = -2*v + 76, -16*g - 5*v = -9*g - 9*g + 31 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1213.9*-3.5\nAnswer: 4248.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/2*(4 + -3)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*c + 4 + 35 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8785152243?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 3)*(109 - 18 + 29 - 4 + 4 - 2 - 1 - 1 + 0 + (-2 - 1 + 2)*(1 + 1 - 3) - 1 + 0 - 1)*(-1 + 1 - 2*j**2).\nAnswer: -230*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 81.1 + -71. Let q = o - 7.1. Suppose 7*x - 11 = y + 4*x, 0 = -4*x + 12. Which is the nearest to y? (a) -2\/7 (b) q (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(-32) + (-57)\/(-4). Let h be (-1)\/(1 + l\/(-12)). Is 2 a factor of (-6)\/h*(-4 + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 360 - 358. Suppose 0 = -y - g, -4*o + 1813 - 703 = -y. List the prime factors of o.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -0.4 (b) 9 (c) 0.065\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1230*y**6 - 3*y**3 + 43799*y**2 wrt y?\nAnswer: -147600*y**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 301 + -107?\nAnswer: 1fa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1359784570?\nAnswer: 2, 5, 1753, 77569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 11 - 9 - 21*l - 1. Is 9 a factor of z(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1932\/(-924))\/(14\/(-154))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 3*b - 13*v - 3*v - 2*v - 150, 3*b - 5*v = 50 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-364*s + 540*s + 602*s)*(3 + s - 3) in the form c + g*s**2 + w*s and give g.\nAnswer: 778","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14994?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/10 + (-54)\/(-10). Suppose 3*z + 75 = j*y, 2*z - 4 = 4*y - 62. What is the greatest common divisor of y and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*v + 1395 = 82*v - 23*v for v.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4*l**3 + 6*l**3 - 5*l**3 - 6 - 3*l**3. Let a(b) be the second derivative of -b**2\/2 - 2*b. What is -6*a(z) + d(z)?\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)\/(sqrt(5) + sqrt(20))*-5)\/((sqrt(96)\/(2*sqrt(12)) - sqrt(8))*1))**2*1.\nAnswer: 100\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5659\/7 - 808. What is the smallest value in 5\/6, 12, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21 - 6*t - 4*t**3 + 11 + 10 as g + k*t + u*t**2 + s*t**3 and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/162 and (-90)\/9 - (-1981)\/252?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 27*s**2 - 714*s - 18943. Determine g(-29).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -1) + 33 + (-37 - -28).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1027, 1007, 969, 907, 815, 687?\nAnswer: 517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 302, -3.03, -2\/9 in decreasing order.\nAnswer: 302, -2\/9, -3.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1484*j + 1257*j - 1085*j + 679*j + 4250*j.\nAnswer: 6585*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2 + 1261316*d - 12613360.\nAnswer: 2*(d - 10)*(d + 630668)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50724 and 27192.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6b082 (base 13) in base 14?\nAnswer: 51423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -249*t + 569. What is the units digit of a(-19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6506?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d**3 - d. Let w be q(1). Suppose w*f + 137 = -5*u + 426, -122 = -f + 2*u. What is the highest common factor of 12 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27085 divided by 5\nAnswer: 5417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*q**3*z**6 + 12*q**3 - 9498*q**2*z**2 + 3306*q*z**6 wrt z?\nAnswer: -960*q**3*z**3 + 396720*q*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7415929?\nAnswer: 7415929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -2*j + 3, 47*j - 4*l + 9 = 46*j. Suppose 2*i = -5*y + y + 1444, -j*y + 1082 = i. Does 17 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 3:06 PM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 333*r**2 - 14*r**3 - 59*r**3 + 458*r**2 - 858*r**3 - 84*r**2 wrt r.\nAnswer: -5586","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 9 = -1. Let d be 1\/r + 4\/(-10). Let p = -4.0255 - -0.0255. Which is the nearest to -4? (a) 0.2 (b) d (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 9) + -13 + (-14 - -7).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lqlbome. Give prob of picking 2 m, 1 q, and 1 o.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 + (10 - 21))*6\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -107 - -112. Suppose 5*n - 25 = m*x - 0*x, -4*n - 5*x = -2. Solve -3*i + 5 = -4*w, 4*i - 4*w = -n*w - 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 214 + 207 - 420 - 10*l**3 + 7*l**2 - 24*l**2.\nAnswer: -10*l**3 - 17*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 1\/3, 4, -44, -17, -0.073 in descending order.\nAnswer: 4, 1\/3, 0.1, -0.073, -17, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of 15\/2*c**2 - 25*c - 1\/6*c**5 - 1\/6*c**3 + 0 + 1\/12*c**4. Let d(z) be the first derivative of b(z). What is d(1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 5\/1942?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 2*d = 13 - 0, -d + 7 = -3*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -274, -618, -1018, -1468, -1962?\n\"Answer: o**3 - 34*o**2 - 249*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 254479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20.02 - -20. What is q rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*y**2 - 8*y + 8*y + 12*y**5 - 3*y**5 wrt y.\nAnswer: 540*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 32611 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(-23)*c)**50 assuming c is positive.\nAnswer: c**(-1000)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 + 5*h. Suppose 7*b - 36 = -2*b. Suppose -b*y - 3 = -11. Suppose 5*i - 4*i = -y*l + 15, -3*l = -2*i - 12. Determine r(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/3, -2.7, -3, 2, 2143 in ascending order.\nAnswer: -3, -2.7, 5\/3, 2, 2143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/70 and 11\/145.\nAnswer: 2030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2217*n + 2264. Determine t(1).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -25833 (b) 0 (c) 2\/7 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 845 = 7*t + 910 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 j when four letters picked without replacement from {j: 5, m: 2}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17)\/17*9\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1825, 5417, 11321, 19537?\nAnswer: 30065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 165570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 289 or -18?\nAnswer: 289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -741409.2223 - 214\nAnswer: -741623.2223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*i + 25*i = 3*i + 9*i. Let x(t) be the first derivative of 8\/5*t**5 - 25 + i*t + 0*t**3 + 3\/2*t**2 + 0*t**4. Find the second derivative of x(h) wrt h.\nAnswer: 96*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*l + 10*l - 2*l**2 + 3*l + 4*l**2 to the form g + d*l**2 + u*l and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n - 1. Let p be g(1). Suppose 3*z = -p*z - 40. Let r = z - -11. Solve -7*u = 2*t - 3*u - 10, -25 = -5*t - r*u for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 861 is divided by 859?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**3 - f**3 + 0*f**3)*(2 - 2 - f**2)*(0 + 4 + 0).\nAnswer: -8*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1321 (base 5) to base 4\nAnswer: 3103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(189)*-2*-4)\/sqrt(3))**2.\nAnswer: 4037","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 8*g**2 - 11468*g + 102511. What is c(9)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (0 + (sqrt(19) - sqrt(171))*-5 + 1)**2 + 3.\nAnswer: 20*sqrt(19) + 1908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*h - 22*h**3 - 19*h + 50*h**3 + 98*h**2 - 85*h**2 as w*h + j + o*h**2 + g*h**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 g when four letters picked without replacement from {p: 3, c: 2, h: 4, g: 2}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = d - 4*i, 0*i + 15 = d - 3*i. Let f(g) = g**3 + 8*g**2 + 3*g + 15. Let c be f(-8). What are the prime factors of c\/d - 91\/(-2)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38.324 * -0.00818.\nAnswer: 0.31349032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -4*p, 12*s - 8*s + 2*p - 28 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l**(-3\/7)*l)*l*l**(5\/2)\/l)\/(((l\/(l\/((l**(1\/8)*l*l)\/l)))\/l)\/(l*l*l**(-6))))**38 assuming l is positive.\nAnswer: l**(-209\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1736 - -205. Let t = -3674 + f. What is t rounded to the nearest 100?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 12 = -0*z + 4*z, 0 = -2*z - 5*a - 9. Suppose 3*i = -3*m + 5*i + 10, 0 = 2*m + 3*i + 2. Let c = -73\/885 - 3\/59. Sort z, c, m.\nAnswer: z, c, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 8) in base 11?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 5. Let t be (40\/16)\/1*20\/(-75). Which is the nearest to t? (a) k (b) 2 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 592*p - 579*p = -91. Let q(l) = -2*l**2 + 5*l + 19. Let x(r) = 3*r**2 - 7*r - 28. Give p*q(g) - 5*x(g).\nAnswer: -g**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 168, 4, -4, 0 in decreasing order.\nAnswer: 168, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -75764000 rounded to the nearest 100000?\nAnswer: -75800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -4*g**2 + 4*g - 3. Let m(p) = p**2 - p + 1. Let h be 10\/7 - (-54)\/(-126). Give h*l(i) + 5*m(i).\nAnswer: i**2 - i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (10 - -1) + (-22 - (-46 + 48))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -11\/4 (b) 0.07 (c) -444 (d) 1 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -p**5\/20 + 5*p**4\/6 + p**3\/6 - 9*p**2\/2 - p. Is b(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 498929440 to the nearest integer?\nAnswer: 793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 180 and 681570?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 1299288220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*z**2 - 7*z**2 + 4*z**2 + 7*z**2 in the form w*z**2 + x*z + o and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/1*8\/6. Let r(j) = 47*j - 52. Let w be r(3). Suppose 21*b = 37 + w. Solve -2*k - 3 = -3*c, -6*k - b = -4*c - z*k for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5373639.14 rounded to the nearest 1000?\nAnswer: 5374000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/3)*q*q**1)**(-27) assuming q is positive.\nAnswer: q**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11.4 + 6.4. Let t be ((-3)\/(-36))\/((-15)\/(-40)). Sort -0.3, m, t, 0.1 in ascending order.\nAnswer: m, -0.3, 0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 5*f + 4. Let v(m) = 3*m**2 - 702. Determine x(v(p)).\nAnswer: 15*p**2 - 3506","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.45 times -8798?\nAnswer: -3959.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -214863 or -214861?\nAnswer: -214861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in three sevenths of a week?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -56269 - -82268. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 11:32 PM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3514 (base 8) to base 10\nAnswer: -1868","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 3*h = -1, -5*h = -f + 905 - 914 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1432*y**2 + 2*y + 318?\nAnswer: -2864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -4*c - 26. Let y be w(-7). Suppose q + 6 = -r + y*q, q = -2*r - 12. List the prime factors of (-562)\/r - 24\/(-72).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 4*z**2 + z + 5. Let o be m(-4). Let w be (-4 + 0)\/4 - o. What is the remainder when 10 is divided by (-63)\/(-27) - w\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**3 - 3*u**3 - 5*u**3)*(0*u + 2*u - 4*u) + 2*u**4 + 3*u**4 - 6*u**4 + (u - 3*u + 0*u)*(-u**3 - 4*u**3 + 3*u**3).\nAnswer: 13*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of 41*q**4\/4 - q**3\/3 - 5*q**2\/2 - 10*q + 34. Find the second derivative of m(o) wrt o.\nAnswer: 246*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -131102 - -100?\nAnswer: -131002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1\/9, -188, 0.047, -0.6?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2 - 865*k + 578.\nAnswer: -(k + 289)*(3*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-27))\/((81\/(-9))\/108*-8).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 - 15*y + 56. Let o be p(-18). Factor 0*s**3 + 0*s - 2\/15 - 2\/15*s**4 + 4\/15*s**o.\nAnswer: -2*(s - 1)**2*(s + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 = -4*j - 975*a + 978*a, -5*j + 20 = 5*a for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - 17 - (-3 + 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -783, -2437, -5105, -8787, -13483?\n\"Answer: -507*u**2 - 133*u - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23 + 37*m**3 - 23 + (3 - 3 - 2*m**2)*(m + 4*m - 3*m) - 2*m**2 - m**3 + 2*m**2.\nAnswer: 32*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12183561 is divided by 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19578?\nAnswer: 2, 3, 13, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 10*g - 9*g - 3)*(-25*g**3 + 332 - 332)*(1 + 1 - 3) in the form w*g + a*g**3 + i + b*g**4 + u*g**2 and give b.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 9:09 AM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13579578?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -103? (a) -2 (b) -2\/9 (c) -84 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -108 - -107.7. Suppose -6 = 2*c - 0*c. What is the biggest value in c, a, -0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 9:47 PM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - c = -73, -5*s + 2*s = 4*c - 102. Let j = 28 - 15. Calculate the remainder when s is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z**(-4\/7)\/z))*z\/(((z\/(z**(-1\/9)\/z))\/z)\/z))\/(z*z\/((z\/(z**8\/z))\/z)*z*z*z**(7\/5)))**(-2\/61) assuming z is positive.\nAnswer: z**(8242\/19215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3741 + -37337\/10. Suppose -4*d = -9*d - 180. Find the common denominator of q and -1 + (-2)\/d*-77.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 7 + -1 + 1*7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/8 - 43898403*h\/8 - 10974601\/2.\nAnswer: (h - 43898404)*(h + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 53*r + 18*r + 72*r + 161*r to b + f*r and give f.\nAnswer: 304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5\/11 - 21\/22. Let g = 109 + -766\/7. Let w = 81\/406 - -5\/58. Which is the nearest to w? (a) g (b) -5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 526*m = 485*m - 909 + 7 for m.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184753 is divided by 14193.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -5*u**3 + 3*u. Let w(i) = 16*i**3 - 8*i. Give 7*g(v) + 2*w(v).\nAnswer: -3*v**3 + 5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/((-135)\/(-36)) - (18\/(-6) - 4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0\/x*x**(-36))**(2\/37) assuming x is positive.\nAnswer: x**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 863128 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -16380*c**2 - 84. Let q(z) = 10*z. What is k(q(r))?\nAnswer: -1638000*r**2 - 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n**2 + 5*n + 3. Let a(y) = y**2 - y - 1. Let j(c) = -6*a(c) - 2*k(c). Determine s, given that j(s) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a - 5*a + 5*k + 985, 0 = 3*a + 4*k - 598. Let p be 2 + (-24)\/(-9)*6. Calculate the greatest common divisor of a and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/(-5)*126\/8 and 53\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*m**3 + 10*m**3 - m + 105*m**2 + 14*m**3 - 1 - 31*m**3 to k*m + f + o*m**3 + p*m**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lhpi when four letters picked without replacement from {i: 7, l: 1, p: 1, w: 3, h: 1}.\nAnswer: 7\/17160","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 13*f - 4. Let x(i) = i - 1. Give -l(g) + 4*x(g).\nAnswer: -9*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 5*t - 4*t)*(-15*t**2 - 288199 + 288199 + (3*t + 4*t - 6*t)*(2*t - t - 5*t)).\nAnswer: 38*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5*(-1)\/((-10)\/4). Suppose 0 = 38*k - 55*k + 85. Factor -k*m**3 - l*m - 4*m**3 + 5*m**3 + 0*m - m**4 - 5*m**2.\nAnswer: -m*(m + 1)**2*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1423 + -104. Does 48 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2*(4 + 1 + (sqrt(500) + 1 - sqrt(500)) - -1*(sqrt(500) - (sqrt(500) + 0))*1))**2.\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 69.58 - 69.5. Which is bigger: -10 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 8\/25 of a micrometer?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.446 - 1.446. Sort 3, z, 3\/13, -0.1 in decreasing order.\nAnswer: z, 3, 3\/13, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l**2 - 3*l - 2. Let i(q) = 13*q**2 - 13*q - 9. Let r(w) = 9*g(w) - 2*i(w). Give r(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73194070?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**3 - 163*n**2 - 821*n - 14. What is z(-5)?\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -19*i - 9. Let l(t) = 23*t + 10. Let d(c) = 7*k(c) + 6*l(c). Determine d(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/952)\/((-2)\/(-21)*-3)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3376.\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -18\/77 and -3\/44?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 750 + 5*q**2 - 750 - 5*q as k*q**2 + f + u*q and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74 - 79*m - 792 + 37*m + 386*m.\nAnswer: 344*m - 718","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10332232 + 1032121?\nAnswer: -3300111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 11, y: 1, w: 5}. What is prob of picking 1 e and 1 y?\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35609 - 35606. What is the closest to -1 in f, 4, 100, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10001001321 (base 4) to base 5\nAnswer: -232142133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*t - 83*t + 62*t)*(-4*t**2 + t**2 + 0*t**2).\nAnswer: 156*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-338)\/39)\/(-26)*(-1)\/1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a\/a**0))\/a*a**(-1)\/a)\/((a**(-9)*a)\/a*a**(1\/6))*(a**(2\/9)\/(a*a**(-2\/13)*a*a))**49 assuming a is positive.\nAnswer: a**(-28955\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 33 = -3*p, -3*p - 15 = 4*j - 6*j. Let b(h) = h**3 + 5*h**2 + 2*h - 1. Let r be b(-4). Do r and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 14*k**2 - 14*k + 16. Let g be n(13). What is the third smallest value in g, 0.4, -3\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -682, 0.76 in ascending order.\nAnswer: -682, 0.76, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(396)*2*-2 + -2)**2*2.\nAnswer: 1152*sqrt(11) + 456200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-5 + (sqrt(847) + 0 + -5 - (sqrt(847) + 0)*-3)*-3 + -5)**2.\nAnswer: -1320*sqrt(7) + 121988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = 11*z + 1. What is the highest common factor of 2694 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2017923 * 1.\nAnswer: -0.2017923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -4*d + 10, -k - 1 = d for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18446.5 + -18446. Let i = 1.3 + -6.3. Which is the closest to -2? (a) h (b) 0.4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149508 divided by -16612?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 105384 and 116?\nAnswer: 3056136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 58466 and 1764148.\nAnswer: 2542","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4158*a**5*h + a**5 - 6*a**2*h + a*h - 19*a - 96*h + 2 wrt a?\nAnswer: 83160*a**3*h + 20*a**3 - 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three quarters of a kilogram in grams?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(-44) - (2 + -2)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 5, -2, -4.\nAnswer: -6, -4, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 93*r**3 + 4*r**2 - 643*r?\nAnswer: 558*r + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**5\/5 + 998*v**4\/5 - 6074*v**3\/5 - 1414*v**2 = 0 for v.\nAnswer: -505, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 54 + -54. Suppose -5 = 5*h, -3*t + 2*h + 270 + 122 = a. What are the prime factors of t?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1)**26\/(b*b**(-6)*b\/(b\/(b*b**6)))*(b\/(b\/(b*b**(-2\/5))))**(-50)*(b\/b**(-1))**36 assuming b is positive.\nAnswer: b**66","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -11\/20 (b) -9 (c) -2\/19 (d) -4 (e) 0.029 (f) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n - 1. Let l(w) be the second derivative of w**3\/6 + 50*w**2 - 85*w. Let f(x) be the first derivative of l(x). What is -3*f(k) + v(k)?\nAnswer: -k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 4*m**2 + 792*m - 3988. Calculate c(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 417641889 a multiple of 713?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, o: 9, e: 1, c: 1, m: 4}. Give prob of sequence jcoo.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78043 is divided by 5634?\nAnswer: 4801","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1136 - (36\/(-18))\/((-10)\/15).\nAnswer: 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 274*s**4 - 36*s - 8623 wrt s.\nAnswer: 1096*s**3 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 8 = -m. Suppose -9 = -5*a - 3*n + 6, 3*a - n = -m. Suppose a*l = -2*l. Is -4\/17 equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6101280*q - 10593239 wrt q?\nAnswer: -6101280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/6)\/(1\/3). Let v be (-168)\/9 + s\/(-6). Let j be (-14)\/16*v\/(-42). Is j < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 392*p - 321*p - 31666. Calculate the remainder when 896 is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20955088 divided by -748396.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -29022090 to the nearest ten thousand.\nAnswer: -29020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -l - 6, 2*b - 18 = l + 2*l. Let s = -16 - l. Let f = 14 + s. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -q + 3. Suppose b + b = -3*b. Put 4, b, q in ascending order.\nAnswer: q, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 32\/16*4*10. Let p = g - 71. Solve -y = 2*y + p, 0 = -5*q - 5*y - 35 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*o**3 - 207 + 207.\nAnswer: -7*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1475 + 1558. Does 77 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*r - 0*r - 45 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 272856, 272854, 272852, 272850?\nAnswer: 272848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14a - -1?\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -132086 divided by -626?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-182 + 183)\/((-2)\/14). Let r(q) = q**2 + q + 1. Let z(n) = -2*n**2 - 2*n - 25. Let t(h) = 3*r(h) + z(h). Let o be t(d). Is o < 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i - 7. Calculate k(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 12, i: 6}. Give prob of sequence ti.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -8685, -9488, -10291, -11094?\n\"Answer: -803*h - 7882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -10, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 220221221?\nAnswer: -220221222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 36*c - 77*c = -36*c + 7, -2*q + 5*c + 19 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -4*f**2 - 103*f - 16. What is s(-25)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 28 + (-12 - 5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k - 5. Let g be h(6). Let t = -0.9 - -0.6. Let p = t - 0. What is the nearest to g in p, -4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -156 + 152. Put -1\/4, x, -0.9 in increasing order.\nAnswer: x, -0.9, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wdww when four letters picked without replacement from ddwwdddddddd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 2:46 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 5 = b. Suppose r + 8 = -b*l, -6*l + 3*l = 6. What is the lowest common multiple of r and 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, -180, -0.5, 13, 0.\nAnswer: -180, -0.5, 0, 1\/7, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.59 (b) -1\/6 (c) 20 (d) 3\/4 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 752204260.\nAnswer: 2, 5, 37610213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 14536876.\nAnswer: 72684380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 142, 327, 574, 877?\nAnswer: 1230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + 7*f - 116. Let q be s(-15). Solve 3*x - a + 4 = -2*a, q*x = 3*a + 12 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12321 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2012 - -1102?\nAnswer: 10121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 4*b + b + 4*k, -5 = 5*k for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 145 + 45. Let d = p + 22. Let u = d + 12. What is the least common multiple of 16 and u?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6350\/69 - -398\/23. Let z = u - 3626\/33. Let c = -0.05 - -4.05. Sort c, z, -0.4.\nAnswer: z, -0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 0 - 4 - 16 + 2 + 2 + 0 - 1 + 0 + 4 - 3 + 1 + 0 - 2 + 0 - 1 + 2 + (3 - 7 + 2)*(0 + 0 + 1) - 4 + 4 + 1)*(0 + 2 - 3)*(0*n + 3*n + 0*n).\nAnswer: 48*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - j**2 - j + 3. Let h be v(0). Solve 0 = -h*y - 5*a - 5, a - 5*a = -2*y + 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(-2 - 1) + 0. Let w be 4\/(-6)*(-12)\/(-2). Let z = -1.3 + 2.3. What is the biggest value in z, w, v?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 2*g**2 + 5*g. What is the hundreds digit of i(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4816440 greater than -4816442?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-1*(sqrt(11) + 1 + 3 - sqrt(11)) - (-1 + sqrt(44)\/sqrt(4) + 5 + sqrt(176)))*6)**2.\nAnswer: 2880*sqrt(11) + 12202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-110)\/33)\/((-4)\/(-6)). Let k(w) be the first derivative of -w**2 - 3*w + 4. Let d(m) = -3*m - 4. Let x = -38 - -42. Give g*k(z) + x*d(z).\nAnswer: -2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iliz when four letters picked without replacement from {i: 7, l: 1, z: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 4*k - 2*k + 36, 5*k + 20 = 0. Suppose 0 = -5*s + v*s - 6. Suppose 0 = z + 2*w - 19, -2*z - 11 + 44 = 3*w. Solve -z + 0 = s*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4821 and 75?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2191.\nAnswer: 7, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-9))\/(7 - (-1 - -7))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11087330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 54123 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -90*z**3 + 99*z**2 + 19*z - 51*z**2 + 89*z**3 + 60*z**2 as h*z**3 + b*z + i*z**2 + q and give i.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1911401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a + 5. Let i be p(5). Let j(s) = s**3 - 5*s**2 + 14. Let x be j(6). Suppose i = 4*u - x + 42. What is the smallest common multiple of 8 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -539*b**5 - b**2 + 513*b**5 + 0*b**2 + 4*b - b**5 - 4*b + (b**2 + 0*b**2 + 0*b**2)*(-3 + b**3 + 3) - 2*b**5 + 0*b**5 + 0*b**5 - 2*b**5 + 0*b**4 + 0*b**4.\nAnswer: -30*b**5 - b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -23\/5 (b) 3 (c) 4.2 (d) 1\/32 (e) -13 (f) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12222995483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**2 - 2*u - 5. Calculate n(4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xc when two letters picked without replacement from {x: 3, c: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 4) + -5 + 3 + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46656.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a + 5*t + 23, 3*t + 109 = -3*a + 97 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 5:05 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p - 176 + 164 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 104488, 104339, 104166, 103957, 103700, 103383, 102994?\nAnswer: 102521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.4 - 0.4. Let k = -58.6407 + 0.6407. Put 0, k, n in descending order.\nAnswer: n, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.737 * 0.2\nAnswer: 0.9474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 173\/16296 and -80\/3003.\nAnswer: 2330328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -i**5 - 5*i**4 - 3*i**3 + 0*i**4 + 7*i**4 + 2*i**5 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24.38 to zero dps.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 557737 to the power of 1\/3, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*q**2 + 3*q - 5*q**2 + q**3 + 13*q**2 + 2 in the form l*q + b + x*q**3 + a*q**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.19 (b) -4 (c) -0.4 (d) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in -22, -0.4, 3, -2403?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 7)*4\/(-12). Let n be -1 - ((-81)\/(-18) - d\/4). Let b(z) = 7*z - 1. Suppose 0 = -3*w + 24. Let r(m) = 11*m - 2. What is n*r(y) + w*b(y)?\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(5 + 2*sqrt(5103) - (6*(-1 + sqrt(5103)) - sqrt(5103)))*-1)**2.\nAnswer: -16038*sqrt(7) + 414432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (256 - 79*s**3 - 256)*(-1 - s - 4 + 1).\nAnswer: 79*s**4 + 316*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*y**3 - 93*y**3 + 29*y**3 + 24*y**3.\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -75838\/79 or -961?\nAnswer: -961","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**5\/19 - 1062*q**4\/19 + 7538*q**3\/19 + 3190*q**2\/19 - 20472*q\/19 - 15064\/19 = 0. What is q?\nAnswer: -538, -1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l - 6 - 6, 0 = 3*j + 4*l + 25 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of x**4\/4 + x**3\/3 + 73*x**2. Give a(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 818963.3 kilometers in centimeters?\nAnswer: 81896330000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35681.479 + 35682. Which is greater: b or -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.2004 - -6.\nAnswer: -2.2004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43 + 51. Does 8 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(13\/5)*u)**(-4)*u\/(u*u**32)*u*((u*u*(u\/u**(-1\/34)*u*u)\/u*u)\/u)\/u assuming u is positive.\nAnswer: u**(-7883\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00074661 to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1015 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 15) in base 8?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -733911, -1467827, -2201743, -2935659, -3669575, -4403491?\n\"Answer: -733916*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 448 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21643.047902402 + -0.030902402. Let z = 21676 - i. Let f = z + -33. What is f rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 688?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 4*w**4 + 61660*w**3 + 61656*w**2 = 0?\nAnswer: -15414, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -32, -55, -80, -107?\n\"Answer: -l**2 - 20*l - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1746247247.\nAnswer: 1746247247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12809258.49 - -0.91.\nAnswer: -12809257.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1640a6 - -18?\nAnswer: 1640be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 6) to base 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 270585 divided by -30065\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 5*r**2 + 7*r + 6. Calculate y(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 31*g**2 - 35*g - 18. Let f be o(32). Let t = -97 - f. What is the remainder when 24 is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 3, 0 = 4*z + 2*b + 57 - 19. Suppose 286*t - 149 = 57 + 80. Sort -1\/5, t, -3\/5, z.\nAnswer: z, -3\/5, -1\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11315428 is divided by 5657714.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/63 + (-108070)\/(-466620)\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01438 rounded to 4 decimal places?\nAnswer: 0.0144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200302311 (base 5) to base 13.\nAnswer: -21902a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -47*o - 15. Let h(k) = 93*k + 33. Determine 2*h(j) + 5*m(j).\nAnswer: -49*j - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*i**3*j**2 + 7*i**3*j + 12370*i**3*u + i**2 - 2*i*j**2*u - 5*i*u - 2*j**2 - 99*j*u + 3*u wrt i.\nAnswer: -30*j**2 + 42*j + 74220*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-2)*30\/21. Suppose -11*p + 3*p = 8. Does b = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one sixteenth of a kilogram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*f - 3*f + 48. What is the least common multiple of f\/(-3) + 3335\/87 and 24?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3 - 3702*b**2 - 3444636*b - 34077160.\nAnswer: -(b + 10)*(b + 1846)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(18)*4 + 2*1*5*sqrt(2).\nAnswer: 46*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + 3*i + 3. Suppose 0 = 916*x - 921*x + 25. Calculate z(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/(-6*sqrt(6)\/sqrt(2)))**2 - 3*-1*sqrt(288).\nAnswer: 1\/18 + 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 - 13*y - 9. Let h be t(-12). Is 154\/(1*6\/h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1446 + -12989\/9. Suppose -22 = -3*v + 4*i, -7*v = -3*v + 4*i - 20. What is the common denominator of w and ((-173)\/12 + v\/3)\/1?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from hlhhlh?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -1 + 391. Is t a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -184*t**2 - 52*t + 52*t - 2.\nAnswer: -184*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(3 + sqrt(847) + -6*(sqrt(847) + (sqrt(847) - (sqrt(847) + sqrt(847) + -2))) + (sqrt(847) - (0 + sqrt(847) + -1)) + 2))**2*-2.\nAnswer: -15894 + 2376*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -17*t + 4. Let l(k) be the first derivative of 3*k**2\/2 + 9*k + 4. Let f be l(-4). Is i(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + k + 4)*(-2 + 3 - 2) - k + 3*k - 3*k + 17*k + 9*k - 9*k.\nAnswer: 15*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 57, 82, 109, 138, 169, 202?\nAnswer: 237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 159, 322608, 1 in increasing order.\nAnswer: 1, 159, 322608","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 129*p**2 - 53*p + 2878. What is z(129)?\nAnswer: -3959","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -413 + 403 - (0 - 12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*m**3*v**5 + 16*m**3*v**2 + 2*m*v**2 + 2*v**6 wrt v.\nAnswer: 240*m**3*v**2 + 240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5611 + -5605. What is the remainder when 98 is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -103970854469\/20382160400 - 4\/50955401. Let u = 27\/700 + s. Find the common denominator of u and -7\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of 29\/56*x**8 + 0*x**2 + 0*x**3 - 2\/3*x**4 + 0*x**5 - 20*x + 0*x**6 + 0*x**7 + 0. Find the third derivative of o(i) wrt i.\nAnswer: 3480*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 412273 is divided by 68712?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3, 0, 212\/7, -0.26, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.4, -1\/95, -2, -5, 102 in decreasing order.\nAnswer: 102, 0.4, -1\/95, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 297*b - 2*b**2 - 3 + 3*b**2 - 298*b. Determine q(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 11*t = -7*t, 5*l + 5*t - 5 = 0. Let m be 5 - (49\/7 - 7) - 2. Solve l*a = 2*y - 10, -2*y = m*a - 3 + 13 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -18*c - 97. Let q be j(-6). Let r(l) = -q*l + l + 23*l + 10*l. Let u(s) = 2*s. Determine u(r(k)).\nAnswer: 46*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23351*w**3*y + 3*w**2*y + y - 4891 wrt w.\nAnswer: 140106*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 5) + 12 + -4. Let p be g\/((-22)\/(-6) + -3). Solve l - p*l - 25 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1017\/10 + 102. Let m = -59\/30 + l. Suppose 2*w = 3*k + w + 1, 0 = 4*k + w + 6. What is the nearest to m in k, 0.5, -0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 2*b + 4. Let m be r(-3). Let c(l) = -165*l + 3. Let o be c(0). Let d(z) = -1 + 0*z**2 - 4 + z**3 + m*z**2 + o*z - 13*z**2. Give d(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rz when two letters picked without replacement from rizrzzrzztiis.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*((p\/p**(-21))\/p)\/p)\/p*p*p**(-15))**(-1\/32) assuming p is positive.\nAnswer: p**(-3\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1030 is divided by 389.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(99)*-2 + sqrt(99)) - sqrt(99)) + sqrt(99))\/((sqrt(900) - (sqrt(900) + -1*sqrt(900))) + sqrt(900)).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2971 - ((-3)\/51*-69 + 16\/(-272)) and 21.\nAnswer: 20769","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -433*w = -23314 + 11190 for w.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 n when two letters picked without replacement from lnpnsln.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 117, -2\/31, 6?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7702959mm in kilometers?\nAnswer: 0.0000007702959","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.18 + -0.136. Let w = m + -70.044. Let b = -69.99963 - w. What is b rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/70563 and -33\/11395?\nAnswer: 18699195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 350*r - 1749. Let q be w(5). Put -5, 9, q, -11 in descending order.\nAnswer: 9, q, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1093*m**3 + 8495 wrt m?\nAnswer: -3279*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*c - w + 119 = 0, 22*w = 4*c + 54*w - 29*w - 38 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m + 5. Let v(f) = -5*f - 8. Let x(h) = -8*b(h) - 5*v(h). Let j(d) = -2*d**2. Calculate x(j(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 471091*r**2 - 165900?\nAnswer: 942182*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*u - 3)*(-2*u + 2*u + u**3) - 1 + 2*u**4 + 3*u**4 - 3*u**2 + 5*u**2.\nAnswer: 3*u**4 + 2*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 495 + -489. What is the nearest to 1 in j, -0.1, -0.3, -1\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1103354599?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 4*b + 364 + 203, -3*s + 4*b = -567. Find the common denominator of -3*447\/s + 0 + 5 and -113\/36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*a**2*j**3 + 8*a**2*j - 38*a*j**3 + a*j**2 + 2*j**3 wrt a.\nAnswer: -12*j**3 + 16*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 8:00 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-99)\/44 - 3\/4. Let k be (-5)\/60*l*16. Solve 0 = 4*f + 4 + k for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1015 is divided by 322?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yevedtvyyaveyyvve. What is prob of sequence aeyt?\nAnswer: 1\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 35073 or 35074?\nAnswer: 35074","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 16.9 and 1860?\nAnswer: 1843.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1767b + c2?\nAnswer: 17770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uddueedeleueelledi. What is prob of picking 1 i and 1 e?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 11:34 PM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 271653, 1086646, 2444967, 4346616?\nAnswer: 6791593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 11, e: 1, g: 5}. Give prob of picking 1 g and 1 r.\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*p + 30. Suppose -3*t = -6, t + 27 = y + p. What is the remainder when 119 is divided by y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - c + 7 = 0, -2*r - 4*c - 7 - 15 = -7*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-135)\/18 + 8\/16?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 111110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 756.2024 micrograms in milligrams?\nAnswer: 0.7562024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 37\/5 of a millennium?\nAnswer: 740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 412*l**3 - 843*l**3 + 2*l - 2*l + 428*l**3.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -152.175 - -0.175. Let m = t + 157. What is the second biggest value in 1\/3, m, 0.48?\nAnswer: 0.48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 2*z + 1, 2*m + 4*z = -2*m - 8. What is the remainder when 5 is divided by (m + -2)*(-6)\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 2 = -8. Let u = c - -29. Let x = u - 10. Does 10 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1525824 bigger than 1525839?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(4\/3))**(-8\/3)\/(i\/(i*i**23))**17 assuming i is positive.\nAnswer: i**(3487\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70 - 21745484959.\nAnswer: -21745484889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -191 + 53. What is the remainder when n is divided by 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 6*v**2 - 2*v - 5. Suppose -2*k = -k - b + 17, 33 = -k + 5*b. Let a(d) = 2*d**3 + 13*d**2 + 4*d + 11. Determine k*y(s) - 6*a(s).\nAnswer: s**3 + 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 10, 2\/7, -1\/5, -29, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16 and 23583.\nAnswer: 377328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44840 and 12440440?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2404954490.\nAnswer: 2, 5, 37, 677, 9601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 803622380796.4 and 0.5.\nAnswer: 803622380796.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25.6 + 25.654. Let x = p + -0.554. Which is the closest to 2\/3? (a) x (b) 0.002 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*b*m - 54*b*p**2 + 7*m*p**3 - m*p**2 + 4*p**3 wrt m.\nAnswer: -5*b + 7*p**3 - p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/7? (a) -61\/7 (b) -51 (c) -0.4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 396692, 396706, 396720, 396734?\nAnswer: 396748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.07 times -0.0396?\nAnswer: -0.042372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1075180 from 0.03.\nAnswer: -1075179.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 48*v**2 - 47918 + 95827 - 47912 - 3315*v**4 wrt v.\nAnswer: -79560*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(27\/(-705))*-14 + -1. Let i = s - 365. Let t(z) = -z + 12. Let d be t(12). Is i not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of b + 118. Let p(c) = 5*c**3 - 215*c**2 + 2415*c - 2235. Let h(d) = 30*a(d) + p(d). Suppose h(i) = 0. What is i?\nAnswer: 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 3*y - 2. Calculate s(3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/1232 and 29\/196?\nAnswer: 8624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 6*m**2 + 7*m + 2. Let d be l(-7). Suppose -7*h = 4*n - d*h + 24, 0 = -5*n + h - 30. Let x be 4\/n + 44\/12. Solve x*w + 4 = w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(33)\/sqrt(11) - sqrt(324)\/sqrt(3))**2 + 1 + (sqrt(27)\/(-2*sqrt(9)) - sqrt(3)) + 0.\nAnswer: -3*sqrt(3)\/2 + 301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4*o + 2. Let x be (-2 + 24\/9)*6. Let f be y(x). What is the highest common divisor of 144 and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rkkt when four letters picked without replacement from {t: 1, k: 7, r: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3649758 is divided by 912439?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 10*n**2 + 4 + 25*n**2 - 7*n**2.\nAnswer: 28*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight fifteenths of a hour?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-62)\/(-155)*-25*-4*(-2)\/20?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of 2*x**2 + 0*x**4 - 1\/20*x**5 + 0*x**3 - 4*x + 0. Find the first derivative of j(h) wrt h.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 9) to base 5\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 18*c**2 - 7*c**2 - 5 - 5*c**2 in the form t*c + y + i*c**2 and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2\/3315?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 25. Suppose -15*o + s = -12*o. Suppose -4*i - g + 29 = -150, g - 89 = -o*i. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - ((145 - (11 - -9)) + -8).\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -5*x + 36, 4*v - 9*v - 4*x + 36 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 51 + -35. What is the remainder when 507\/8 - (-42)\/(-112) is divided by u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17280 a multiple of 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2130 - -211144?\nAnswer: 204014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -137*x + 128*x + 150 - 24 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -699977200 rounded to the nearest one million?\nAnswer: -700000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -25 - -27 - (-16)\/(-10). Let f = -0.2 - -0.5. Let c = f - -3.7. What is the second biggest value in n, 3, c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(304) + sqrt(304) + (-1*sqrt(304))**2).\nAnswer: 48*sqrt(19) + 1824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 5*w**2 - 4*w - 1. Let t be f(3). Suppose -20 = -t*x - 5. Suppose 5*a + 0*a - 27 = 4*l, 0 = x*a - 5*l - 11. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 377 - 31 = 2*t, 4*t + 796 = -3*u. Let s = 366 + t. Is s a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1346)\/((-2)\/(-4 + 5)). Suppose -5*q - i = -c - 3*q, -4*q + 649 = c. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/77 or 1781?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -128 + 127.93. Put 5, a, 0, -4 in ascending order.\nAnswer: -4, a, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvhvvvvvhhhvvvhvvv. Give prob of picking 2 h.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y + 49. Determine k(0).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -544 from -44819225.8.\nAnswer: -44818681.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 5 = 2*o, 10*b + 27 = 54*b - 5*o - 17 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36 + -2 + 3 + -3 - -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2305.901l in millilitres?\nAnswer: 2305901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3488\/23)\/(-4) + (-144)\/(-16) + 209\/(-23).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1078822946 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s + 5. Suppose v - 5*x = -3*v + 12, -4*v = -x - 12. Let d be o(v). Let u = -6 + d. What is the least common multiple of 4 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -11*j**5 - 15*j**4 - 10*j**3 + 4*j**2 - 2. Let q(g) = 34*g**5 + 45*g**4 + 32*g**3 - 14*g**2 + 7. Let w(a) = -2*q(a) - 7*t(a). Factor w(o).\nAnswer: 3*o**3*(o + 1)*(3*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 2*n. Let r(o) = 9*o**2 - 51*o - 82. Let b be r(7). Sort 6, n, 3, b in descending order.\nAnswer: 6, 3, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39258 a multiple of 172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - 11*o - 27. Let u be y(-5). Let b be (-2 + u)\/((-33)\/(-21)). Is 2 less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (143 - 23 - 5)*(3 + 2 - 2)*(-2*w**2 - 3*w + 3*w) to n + s*w**2 + i*w and give s.\nAnswer: -690","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46164 is divided by 82?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ft when two letters picked without replacement from {t: 1, f: 2, q: 6, x: 7, k: 3}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from esezlqzeqdeleeq. Give prob of picking 1 e and 1 q.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -188887244 divided by -364\nAnswer: 518921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -v**5 + 0*v**5 + 0*v**3 - 6 + 3 - 3 + 8*v**3 + 6*v**2 - 7*v = 0.\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154228.\nAnswer: 2, 38557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 - 8*x - 3. Let t be c(-8). Let p be 18\/21 - ((-80)\/(-28) + -4)\/1. Put p, t, -6, -4 in decreasing order.\nAnswer: p, t, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -d**6\/10 + 3*d**5\/25 + 33*d**4\/2 - 108*d**3 + 324*d**2\/5 + 2592*d\/5 - 1953. Find k, given that o(k) = 0.\nAnswer: -12, -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 343*g - 3107. What is the thousands digit of x(76)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-44)\/3)\/((-8)\/12). Suppose -4*c + 122 = j. Is 25 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 23.156 (b) -6 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34 - 51. What is j rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5 - 5 - -22) + -9 - -29) + (-1 - 6)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 92\/103 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r + 151 = 571. List the prime factors of r.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 128.8121 centuries to years.\nAnswer: 12881.21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-54)*(-9)\/(-2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12.2 and 1.8?\nAnswer: 21.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1997775950 to the nearest integer?\nAnswer: 1259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -5*l**2 - 4*l + 2. Let f(a) = 4*a**2 + 5*a - 3. Let u(o) = -4*f(o) - 3*g(o). Give u(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-2))\/((-2)\/8) - -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.2 (b) -0.5 (c) 0.0535 (d) 3\/5 (e) -1 (f) 3\/7 (g) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168368 is divided by 2006?\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2382 divided by 6\nAnswer: -397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-18)\/4)\/((-6)\/12). Let g = r - 13. What is the units digit of ((-4)\/(-6))\/(g\/(-24))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.882736848 rounded to four decimal places?\nAnswer: -4.8827","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2*d + 0)*(37*d - 468 + 464 + 70*d + d**3 - d**2) in the form z + n*d + x*d**3 + c*d**4 + g*d**2 and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 67332122 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (42 - 35) - (-2 + -26)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.03119 + 2.03119. What is the closest to w in 29, -2\/17, -3\/5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138394 is divided by 45850.\nAnswer: 844","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23779\/4 - 166449\/28. Factor -1\/7*j**2 + y*j + 2\/7.\nAnswer: -(j - 2)*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1284 and 44619?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 5*u + 16 = 0, 6*i + 314 = 10*i + 11*u + 140*u for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-4) - 2850\/760\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 78*h**3 + h**2 - 7*h - 4. Let r(t) = -77*t**3 - t**2 + 6*t + 3. Let w(s) = -4*j(s) - 5*r(s). What is the units digit of w(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 2\/11 (b) 0.3 (c) -0.17529\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162)*6 + (sqrt(2) - (4 + sqrt(2) + 0)))**2.\nAnswer: -432*sqrt(2) + 5848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -52 + 69. Suppose -b*y = -8*y - 1305. What is the highest common factor of 58 and y?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/52309 greater than 995?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16523950 and 200?\nAnswer: 66095800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 751, 2, -4063 in increasing order.\nAnswer: -4063, 2, 751","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 332 is divided by 34.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1166, -2208, -3244, -4274, -5298, -6316?\n\"Answer: 3*t**2 - 1051*t - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jsjjjjjsjjjjss. What is prob of sequence ssjs?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5980 and 183540?\nAnswer: 2386020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence szgs when four letters picked without replacement from {g: 2, t: 2, s: 2, z: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -5*o + 900, -4*h - 132 = 3*o - 704. Suppose -13*g + o = -154. Calculate the greatest common divisor of 91 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9838731 kilograms to milligrams.\nAnswer: 983873.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139448 is divided by 191?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -q + 15, 0 = s + 4*q - 47. Suppose 2*h = -5*w + s, 0*h - 4*h + 45 = 5*w. What is the least common multiple of h and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167 = -164*n - 37*n + 1976 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1161?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16) - 3*sqrt(144) - (sqrt(64) - sqrt(16))*3)\/((sqrt(96)\/sqrt(108))\/(sqrt(4) - (sqrt(44)\/(-2*sqrt(11)) - sqrt(4)))).\nAnswer: -165*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-15 + 12 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.326837cm in meters?\nAnswer: 0.04326837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-8)*7248\/8456*(2928\/9)\/2?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-290)\/(-87) - (15\/(-9) - -2). Solve 20 = -r*h - h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -8*n + 8*n - 25*n + 13*n + 0*n. Give u(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-1) + 1450\/(-200))*4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14543?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -38 and -0.206.\nAnswer: 7.828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/210 and -151\/210.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/21)\/g)\/(g**(-1\/11)\/g))\/(g**(-1\/12)\/g**(4\/3)) assuming g is positive.\nAnswer: g**(435\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (7 + -9)\/((-1)\/2). List the prime factors of 837\/12 + 1\/u.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -50. Let a be 126\/p + (-3)\/5. Suppose 5*l = -0*l + 4*k + 35, 0 = -a*l + k + 14. Solve l*z - u = 20, 2*u = -2*u - 20 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(198)*-2*4 - sqrt(198))\/((-2*sqrt(3168))\/sqrt(11))*4 + 1.\nAnswer: 1 + 9*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5 and -44105?\nAnswer: 44110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2 + 10428*p + 9061932.\nAnswer: 3*(p + 1738)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + 4 + 3 + 0 + sqrt(117))*2)**2 + (1 + 2*sqrt(117) + -2 - -2*6*(sqrt(117) + 0))**2.\nAnswer: 12*sqrt(13) + 23465","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.06, -0.5, 3\/28?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10022112322 (base 4) to base 7\nAnswer: -12162523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23322474 to the nearest integer?\nAnswer: 4829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 120.095 + -0.095. Let h = l - 121. Let r = -3 - -4. Which is the nearest to h? (a) r (b) -2\/3 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -15*t + 1. Let c(h) = 2*h - 1. Give g(c(i)).\nAnswer: -30*i + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wwwwwbwbwwwwbbwb.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 19347 to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21812 by 266.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2575045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -1)*2\/((-2)\/1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2718 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 10:39 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 94*y**2 - 729*y - 1842. What is f(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82641951?\nAnswer: 3, 7, 145753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 661, 3143, 7291, 13111, 20609, 29791, 40663, 53231?\n\"Answer: n**3 + 827*n**2 - 6*n - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22 + 10 - 32 - 675*d to g + w*d and give w.\nAnswer: -675","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 777*c**2 + 457*c**2 + 2*c**3 - 822*c**2 as s*c + b*c**2 + z + l*c**3 and give b.\nAnswer: 412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 160?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-11 + 6)*2\/(-5). Let g(y) = 1 - y**u + 0 - y - y**2 + 4*y**2 + y**3. What is g(2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**5)**(-10\/7)*(o**(-2\/11))**(2\/61) assuming o is positive.\nAnswer: o**(-33578\/4697)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 12:50 AM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22316 is divided by 186?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 30010058879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 684\/152*1*10. Let i(o) = -65*o. Let f(m) be the first derivative of 3*m**2\/2 - 1. What is w*f(c) + 2*i(c)?\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 4*p + 163*p**2 - 3*p + p**3 + 3*p - 169*p**2 + 38. Is v(10) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -283 at most as big as -162?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -9.33 times -76\nAnswer: 709.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -4*l + 9. Let s(y) = -9*y + 19. Let j(m) = -2*s(m) + 5*v(m). Suppose -n + 54 = 4*d, -58 = -4*d - 0*d + n. What is j(d)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -967*k**3 + 44*k + 431*k**3 + 26*k wrt k.\nAnswer: -3216*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 5*b**3 + 2*b**2. Let s = 714 + -712. Let p(c) = 154*c**3 + 63*c**2. What is s*p(r) - 63*l(r)?\nAnswer: -7*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q - 1. Let n(v) = 17 - v - v + 2 + v. What is the remainder when n(8) is divided by o(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2. Let d(j) = -16*j - 1 + 14*j + 4 + j**3. Let n be d(1). Let p(l) = -10*l**2 - 23*l**2 + 15*l**n + 48*l**2. Calculate p(i(k)).\nAnswer: 30*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -28*x + 48. Let c(i) = -9*i + 15. Let p(m) = -5*b(m) + 16*c(m). Let q(u) = -3 + 0 - 3*u - 13*u. Calculate p(q(a)).\nAnswer: 64*a + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4046 a factor of 298433680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 6:58 PM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/198 and 125\/162.\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 9*v**2 - 9*v - 6. Let u(j) = j**3 - 25*j**2 + 28*j + 20. Let a(g) = -7*p(g) - 2*u(g). Give a(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (80\/(-25))\/((-1)\/5). Suppose -9 = 13*i - u*i. Let c be (-2*(i - 4))\/1. Solve o = c - 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 + 15.9. Let a = 3.6 - 0.6. Let o = -0.35 - -0.05. What is the biggest value in o, a, b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97c6 (base 15) in base 10?\nAnswer: 32136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7, m: 7, v: 4}. What is prob of sequence mnvv?\nAnswer: 49\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 699900 a multiple of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -1. Suppose 0 = 5*y + 3*u - 43, -y - d*y + 45 = -3*u. Let t = 18 - y. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19743.720623 rounded to the nearest one thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -4. Suppose 0 = -5*h - 5*m + 170, v*h = h - 2*m - 37. Let c be h\/10*4\/7. Solve 0 = -0*a - a - c for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -139, 115, -2\/127?\nAnswer: -2\/127","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j + 4*d + 20, 0*j + 4*j - 375*d + 379*d - 12 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 9 + 9256*b**3 - 1.\nAnswer: 9256*b**3 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/sqrt(36) + -5.\nAnswer: -5 + sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 990240 a multiple of 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 208*((-9)\/117)\/((-188)\/(-1222))?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 100 and 140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 46611 and 22.\nAnswer: 1025442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 78969 to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + 2*m - 3. Let r be k(-3). Suppose 4*g + 2*w - 22 = r, 10*g = 13*g - w - 4. Solve g = b - 1 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (252 - 256)*(0 - (-2)\/(-28)). What is the nearest to -2\/3 in m, 0, 2, 0.099?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/4*(464\/12)\/29*-17?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 2, g: 4, u: 7}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1780 and 10?\nAnswer: 1780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 5*u**2 - 3)*(326*u - 642*u + 32 + 330*u).\nAnswer: 70*u**3 + 160*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-108) + 10\/(-12).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkcccccckccccc. Give prob of sequence cck.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 3.6666103 and -5.\nAnswer: -1.3333897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44002669.\nAnswer: 47, 936227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j**2 - 2 - 24*j - j**4 + 2*j**2 + 26*j to the form z*j**4 + t*j**2 + k*j + l + v*j**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32758?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 3)*(-4*s + 2*s + s) + 13*s + 6*s - 6*s - 2*s - 3 + 3 + (1 + 1 - 3)*(5*s - 3*s - 3*s).\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -6*b + 2*b. Let j be 9\/(-6) + (-194003)\/b. Round j to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j - 11. Let i be x(-3). Let r = 0 - i. Let d be 4\/10 - 46\/(-10). Solve c - r = d*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(2057) - sqrt(2057)) + 0 - sqrt(2057)*2*-4)**2.\nAnswer: 176*sqrt(17) + 131649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25469220 divided by 7.\nAnswer: 3638460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 4232*k - 190559. Calculate c(45).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 15399150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7? (a) -41 (b) -0.4 (c) 4\/7 (d) -0.97 (e) -2\/3 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2*o + 48*o**2 - 3 - 2*o.\nAnswer: 48*o**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 1328236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1625 divided by 5?\nAnswer: -325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 105 and 2613345.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -9. Suppose -5*m - 60 = -9*m. Find the first derivative of 20 + m*c**w - 7*c**4 - 12 wrt c.\nAnswer: 32*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 56 (c) 0.3 (d) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 2\/45, -60, 0?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, j: 3, h: 12}. What is prob of sequence hj?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -4*f + 46, -14134*d + 14139*d + 99 = 2*f for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.4 and 11?\nAnswer: -15.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/2)\/(6\/(-4)). Let m = -111512\/3 - -52299131\/1407. Is c at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -24*b**3 - 5*b**2 - 5*b - 32. Let q(g) = -36*g**3 - 8*g**2 - 8*g - 48. Let k(t) = 5*q(t) - 8*x(t). Differentiate k(v) wrt v.\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.216 - -0.016. Let n = s - -7.3. Let r(q) = -2*q**3 + 4*q**2 + 10*q + 1. Let f be r(5). Is n < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -113014577 and -1.2945?\nAnswer: 113014575.7055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 + 3 - 6 - 1 - 1 + 1 + 0 + 1 + 0 + 3 - 1 + 0 - 1 + 0 + 0 + (2 - 3 - 1)*(4 - 2 - 1) + 3 + 1 - 2)*(-1206 + 1206 - 98*n) as c + j*n and give j.\nAnswer: -882","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -68.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -42\/221?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 3*a**2 - 1. Let k be r(3). Calculate the remainder when 7 - -2*k\/2 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -p**6\/72 + 67*p**3\/3 - p**2\/2 - 5*p - 12. Let v(o) be the second derivative of t(o). Let a(g) = -46*g. Give a(v(s)).\nAnswer: 230*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12751.\nAnswer: 41, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010000000111110 (base 2) in base 15?\nAnswer: 16ce5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14868 divided by -6?\nAnswer: -2478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 598279029 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 5*b**2 + 5*b + 4. Let n be o(-4). Let q(d) = 12 - 4 + d - 4 - 11. Calculate q(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67210 - 67210 + 3*f**3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 41, 38, 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1615530 (base 7) to base 9\nAnswer: 368646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1845550700 rounded to the nearest one million?\nAnswer: 1846000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 2:29 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 11:37 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -20\/69737 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000186 rounded to six dps?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 8*d + 30. Suppose 0 = 15*a + 1366 - 20176. Suppose 0*h = d*h - a. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50578 is divided by 281.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-149886)\/3785 + 36\/10?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Are 35879 and 35878 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -10*t + 37. Let r(g) = -3*g + 16. Let c(y) = 3. Let d(h) = -c(h) + r(h). Let x(u) = 17*d(u) - 6*v(u). Let o(a) = a**2. Determine x(o(m)).\nAnswer: 9*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1454299?\nAnswer: 7, 11, 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -233, 0 in descending order.\nAnswer: 0, -1, -233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 3*sqrt(304))**2 - (((sqrt(304) + sqrt(304)*3 + sqrt(304))**2 - sqrt(304)) + 5) - 1*(0 + 3 + sqrt(171) + 5)**2.\nAnswer: -5088 + 52*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 151152 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1475\/2*j**3 - 5\/4*j**5 + 2955\/4*j + 675 - 65*j**4 - 610*j**2 = 0. What is j?\nAnswer: -36, -15, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-5)*l**(-1\/15)*l*l**0*l*l**1 assuming l is positive.\nAnswer: l**(-31\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of -3*v**4\/8 + v**3\/6 - 5*v**2. Let k(l) = -l**2 - 33*l - 249. Calculate the smallest common multiple of k(-20) and p(-2).\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20484 and 71424?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x**2 + x + 1. Let p = 39 - 57. Let r = p + 39. Calculate the remainder when f(3) is divided by r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 545 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 4*q + 28. Let l be r(-6). Let p(z) be the third derivative of -z**4\/12 + 5*z**3\/2 - 2*z**2. Let a be p(10). Sort 0, a, l.\nAnswer: a, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -118\/9 + 2129\/126. Find the common denominator of l and 31\/410.\nAnswer: 2870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 750989743.\nAnswer: 7, 41, 89, 29401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/3615?\nAnswer: -2\/3615","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1593968000 to the nearest 1000000.\nAnswer: 1594000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 248410?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (293\/((-256082)\/(-4807)))\/(2\/((-8)\/(-2)))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, n: 1, u: 1, c: 2, t: 1, v: 1}. What is prob of picking 1 t and 1 u?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 446 is divided by 27?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 16 = 2*o. Suppose -o*f - 2 = -2*f. Let m be -1 - ((-3)\/(-5))\/f. Is m less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(10\/3)*g*g\/(g*g*g*g*g**13*g*g)*g*((g*g**(5\/4))\/g)\/g**(-1\/8))**17 assuming g is positive.\nAnswer: g**(-4607\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1343 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 0*t + 0*t)*(5*t**3 - 6*t**3 + 11*t**3).\nAnswer: -20*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9138678 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p, 1 o, and 1 h when four letters picked without replacement from {p: 5, r: 1, h: 1, l: 3, o: 3}.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33821879.\nAnswer: 7, 13, 371669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -579443952+1\nAnswer: -579443951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.6 + 6. Let l = -4.3 + j. Let x = l + -2.1. Which is the smallest value? (a) x (b) 2 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -2\/255, 1.5, -2, -0.06, -2\/3?\nAnswer: -2\/255","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000503750311 rounded to 7 dps?\nAnswer: 0.0005038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -174 (base 8) to base 4\nAnswer: -1330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 678941152 a multiple of 2608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18254 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.19 from -344603918.\nAnswer: -344603917.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-2)*-2 + 8. Suppose v*u + 5 = -0. Is 38\/(-4)*(u - 1) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8460?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (9510\/(-90))\/((-1)\/57)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 428 = 34*h + 360 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 0 - 10 = 0. Let t be (-110)\/50 - (-1)\/x. Let o be (8 - 4)\/2 - t. Let w(a) = -a**2 + 3*a - 6. What is w(o)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 + 48 + -7 + 9 - (0 + 14 + -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - 3*j + 5. Let w be l(-6). What is the biggest value in w, -2\/21, 3\/4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41283.14km to millimeters.\nAnswer: 41283140000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -988*v - 53790 = 805*v for v.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 2 + 16*b + 33*b**2 - 11 - 11*b**2. Is 6 a factor of j(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - q**2 - 4*q + 2. Give c(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 104112113179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-26 - -45 - 3)) + (-9 - -4)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g**3 - 3152*g + 3154*g + 3 - 20*g**2 + 4. Calculate f(-10).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-60)\/24)\/(2\/(-20)*1). Find the second derivative of -13*b + 92*b**5 - 19*b - t*b**3 + 25*b**3 wrt b.\nAnswer: 1840*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 10 = -28*t + 30*t, -4*t + 2*i - 28 = 0. Put 2, 60, 9, -2, t in descending order.\nAnswer: 60, 9, 2, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 20*a**2 - a + 2. Let g be v(1). Suppose 2*w - 6 = -m, 4 + g = 5*m + 5*w. Let r(f) = 5*f + 5. What is the units digit of r(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100110 (base 2) to base 10.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 12:24 AM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 114, 232, 352, 474, 598?\nAnswer: 724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - u = -0*u - 107, 0 = 2*a + 3*u - 48. What is the remainder when a is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 7*d**2 - 8*d + 1. Let o be l(4). Suppose -287 = -o*k + 10*k. Calculate the remainder when k is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 48 = -2*r. Suppose f = -3*f + r. Solve 1 - f = -3*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/((-6)\/3)*34\/(12240\/15)*-12?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 305040 and 1722.\nAnswer: 2135280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 107*r + 3. Let k(y) = -5424*y - 152. Let d(b) = 304*g(b) + 6*k(b). Let u(h) = -17*h**2 - 2*h. What is d(u(p))?\nAnswer: 272*p**2 + 32*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of 0*h**4 + 0*h**2 + 9 + 0*h**6 - 12\/7*h**7 + 0*h**5 - 1\/3*h**3 + 0*h. Find the third derivative of q(i) wrt i.\nAnswer: -1440*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 52 + 2*s - 70*s**2 + 65*s**2 - 49 + (s - 13*s + s)*(3*s + 0*s - 2*s) as r*s + m*s**2 + a and give m.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -12. Solve -3*y + x - 1 = -2*c, 4*c = -5*y + 33 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 377*k**5 - 7*k**2 - 28399*k.\nAnswer: 7540*k**3 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -29 - 0?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from wwwvvhwvhwvvw.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-60)\/18)\/(-2))\/(45\/27)*16.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(((-14)\/(-10))\/(84\/420)))\/(2\/6).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39219 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 + -22.7. Which is the closest to 0.1? (a) f (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000175973 rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1664*x + 74037 + 74059 = 0 for x.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (22 - -4 - -1 - (95 - 87))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t + 1. Let l(m) = -m**2 - 7*m + 1. Let d(x) = -l(x) - o(x). Let q be (36\/30)\/((-3)\/15). What is d(q)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2480286 to the nearest integer?\nAnswer: 1575","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -243237120 divided by -14?\nAnswer: 17374080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of -i**4 + 0 + 0*i**2 + 9*i - 1\/2*i**3. Find the second derivative of d(x) wrt x.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 2*x - x - 152 = 0, -5*x = 20. Which is smaller: s or -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w - 2. Let a(y) = -y**3 + 13*y**2 - 15*y + 45. Let o be a(9). Let g(k) = o*k + 240*k - 475*k. Let l = -18 - -17. What is l*z(r) - 2*g(r)?\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - 0. Let l = -30 + 17. Let v be (28\/24)\/(462\/(-99)). What is the third smallest value in h, l, 4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 6*z**2 + 2*z + 5. Let h be g(-4). Suppose -130 = -4*r + 110. Let w = h + r. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13 + -13c?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 269*s. Let z(r) = -1257*r - 1268*r + 2524*r. Calculate y(z(c)).\nAnswer: -269*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 24 = -2*m - 5, 4*x = 5*m + 35. Let g(y) = -4*y - 3*y + y. Is 6 a factor of g(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j - 12. Let l be x(-5). Suppose -l = 4*v - 15. Suppose -2*h - c = -v*c - 110, 2*c - 52 = -h. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from taatxaaxxxxxxfxxxxx?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -12*j**2 + 155. Let v(t) be the third derivative of 0*t**4 + 0 + 0*t + 5*t**2 + 0*t**3 + 1\/30*t**5. What is c(v(r))?\nAnswer: -48*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, c: 1, v: 1, o: 1, y: 2, j: 1}. Give prob of picking 1 c, 1 o, and 2 y.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from {j: 4, e: 2, n: 6, v: 3}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zbztditzkit. What is prob of picking 1 b and 1 d?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r + 8*r**2 - 9*r**2 - 19*r**3 + 35*r**3 in the form v + j*r**3 + p*r**2 + b*r and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3788778 divided by 789?\nAnswer: 4802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*w - 1 + 1)*(-2*w**2 - 3*w**2 + 2*w**2) - 6*w**2 + 2*w**3 + 6*w**2.\nAnswer: 35*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -54 - -102. Let f = 1 + -4. Let s = o - f. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5*r = -2*r - 16, -12 = 3*a - 3*r. Suppose -2*u - n + 1 = -a, 4*n = -5*u + 5. Let k be (u + 0\/(-4))*-5. Is -7 <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 9:04 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -6*w + 2. Suppose b = 3*b - 4, 3*x + 193 = 2*b. Let f be (-8)\/(-36) + (-112)\/x. Give g(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - 5*r + 1. Let p be m(-6). Let g be (p - 2)*74\/130. Let d = g + 44\/13. Which is smaller: d or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1086484875.\nAnswer: 3, 5, 7, 17, 97, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -78224 + 4562872586.\nAnswer: 4562794362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.08? (a) -5007 (b) 3 (c) 13 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 4636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -5*g - 27, -4*o = 4*g - 8*o + 28 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, 0.3, -3, -2\/2427 in descending order.\nAnswer: 0.3, -2\/2427, -3, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -85 + 44. Find the common denominator of 32\/5 and 1*2\/((-8)\/s).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -91*z + 46*z + 46*z. Let d(l) = l. Let h(k) = 18*k. Let g(j) = 48*d(j) - 3*h(j). Give g(v(x)).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -17*z - 7. Let u be o(-2). Suppose 0 = -25*g + u*g - 10. Solve -5*c - 22 = -4*c + g*f, 2*f = 4*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 457 - 457.00401. Round n to 4 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + f - 3 = -8, 2*t - f = 12. Let q(b) = -10*b**2 + 16*b - 7330. Let h(z) = 3*z**2 - 5*z + 2443. Let y(d) = t*h(d) + 2*q(d). Is y(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 19764.\nAnswer: 19764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/14991 and 20\/7101?\nAnswer: 134919","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1063957.923ms?\nAnswer: 0.0017591896875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 54 = -3*a. Let z be (-1)\/(-4) + a\/12. Let l = 3 - z. Let h(g) = -g**3 + 5*g**2 + g + 1. Give h(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 6*c - 39 - 19, -3*c - 5*d + 41 = 0. Let q(t) = -11*t**3 - 4*t**2 - 2*t + 1. Let y be q(-2). Calculate the greatest common divisor of c and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/35*-1*(-700)\/(-140).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - m - 34686 = 0, -4*i = -6*i - 3*m + 23135. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8\/15 - 6\/5. Let a be (3\/((-3)\/(-2)))\/(-2). What is the closest to 1\/4 in a, 0, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 80\/37 or 677?\nAnswer: 80\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 1:26 PM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -15 + 12 + 62 + 2*f + 46*f**2 + 2*f**3 + 6 - 19. What is d(-23)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 67*a = 362, -2*c + 0*a = -7*c - 3*a + 120 for c.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29004, 28997, 28990, 28983?\nAnswer: 28976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*v, 4*j - 12 = -3*v + 28. Let h be 119\/1 - (j - 6). Find the common denominator of 71\/40 and 1\/1 - h\/(-20).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5340*f = -759*f - 434*f - 215589 for f.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (942\/1884)\/(-1*4\/312).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2478 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 take away 52.8?\nAnswer: -60.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 57*d - 34*d - 30590. Calculate the remainder when d is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of -a**4\/6 - a**2\/2 + 13*a. Let j(h) be the first derivative of z(h). Let d(m) = m. Determine j(d(b)).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.2 (b) -83 (c) -2\/15 (d) 816\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 13*o**3 - o**2 - o. Let f(n) = -13*n**3 + n**2 + n. Let m(c) = 6*f(c) + 5*p(c). What is the remainder when 36 is divided by m(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.06 - -0.24. Let i be 1 - (1573\/(-9) - -1). Let a = i - 175. What is the closest to 1\/4 in n, 1\/10, a?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 12000020?\nAnswer: 12000003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -91 - -47. Let w = 40 + x. Let l(m) = -m**2 - m - 4. What is l(w)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 44*b. Let t(g) = 3*g. What is t(r(m))?\nAnswer: 132*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64407?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*b = 38*b - 4*d - 2, 0 = -b + d - 4 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 10 (b) -1\/3 (c) -5 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 7*k - 3*k)*(-1 + 0 + 4)*((-5 - 2 - 7)*(-21 - 5 - 20) + (1 + 1 - 3)*(1 - 6 + 3)).\nAnswer: 1938*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.15 or 167\/207?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -1 - (7 + (5 + 2 - 0)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, v: 7}. Give prob of picking 1 v and 1 h.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -8*c**2 + 4. Let t(z) = -7*z**2 + 9. Let h(r) = -4*r**2 + 6. Let b(a) = 7*h(a) - 5*t(a). Give -3*b(n) - 2*g(n).\nAnswer: -5*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13573 - -13577. Solve -k - 5*z - 25 = -4*k, 0 = -b*k + 4*z + 28 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a - 90?\nAnswer: -9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2. Let k be t(-1). Let o be -14 + 27 - (-6)\/2. Let l = o - 12. Solve 4*i = -r - 0*r - k, 5*i + l*r = -4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35.5 + -41. Let z = -5.483 - y. Let r = 0.01628 - z. What is r rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15534 * 0.34.\nAnswer: 5281.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -27. Let c = q + 19. Suppose c*v = -5*t + 25, -2*t = -0*v + 5*v - 29. Calculate the least common multiple of t and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12\/10)\/(-5 + (-7806)\/(-1560)). Let d = -177 + a. List the prime factors of d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 736 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 56, 173, 376, 671, 1064?\n\"Answer: c**3 + 37*c**2 - c + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a + 7. Let x(s) = -s**3 + 10*s**2 - 9*s - 12. Let z be x(9). Let v(l) = l**2 + 11*l. Let f be v(z). What is the tens digit of k(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by 13102.\nAnswer: -6\/6551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 180456139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 52.77 and 1611.\nAnswer: 85012.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 15171 (base 11) to base 14\nAnswer: 7b95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -7 (b) 4 (c) -13.35 (d) -2\/3 (e) 2 (f) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7903, -4025, -157, 3695, 7525, 11327?\n\"Answer: -d**3 + d**2 + 3882*d - 11785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3*v = -35. Is v a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 374808701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/24 (b) 0 (c) -37.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 120 and 168850620?\nAnswer: 337701240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*v - u, -2*v - 5*u - 13 = -3*v. Let y be v - (80006 - (3 - 0)). Round y to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**2 + 609750*y + 1829295.\nAnswer: -5*(y - 121953)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/88 - (-180)\/16\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 372\/248*2\/9*3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1148\/11077 + 6\/53. What is the second smallest value in 0, -5\/4, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.55 - -1.061. Let u = l - -0.089. Let i = 1.5 + -2. Which is the third biggest value? (a) -3 (b) -1 (c) u (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-325)\/(-390)*24\/(-40)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 320176142 divided by -2.\nAnswer: -160088071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3616 != 25320\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2911228729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/536 and (-17 - 410025\/(-24120))*-106.\nAnswer: 1608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(((-8)\/330)\/(464\/1160)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -14. Let h = i - -11. Solve -3*m + h = m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 641.\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148711 is divided by 2096?\nAnswer: 1991","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -11. Let v be (-4 - -4) + (1 - 89\/72). Let h = -1\/72 + v. Sort b, -2\/3, h.\nAnswer: b, -2\/3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/15? (a) 2\/3 (b) -2\/3 (c) 0 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 97.59 + 4.51. Let o = -101 + p. Which is the nearest to o? (a) 0.2 (b) 1\/7 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 p when four letters picked without replacement from {p: 3, l: 1, u: 5}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 2210375?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 1 = -y. Let r(s) = s**3 + 3*s**2 - s - 4. Let p be r(-2). Suppose -y*f + 464 = -x, 2*f + f + 914 = -p*x. What is x rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -7*w - 4*w + 18*w - 6*w - 5. Let t be v(6). Suppose -8 = -3*j + t. Solve 2*o + j = o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1 + sqrt(13)) + sqrt(143)\/(-2*sqrt(11)))**2.\nAnswer: -45*sqrt(13) + 1153\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 141695?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 27349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 77283\/16, 0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)*2 - sqrt(77))*-3 + (sqrt(77)*-2 + sqrt(77))*-4)\/((sqrt(132) + sqrt(132)*1*5)\/(-4*sqrt(36)\/sqrt(3))).\nAnswer: -2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 269726969 and 4684?\nAnswer: 1171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -9*q + 263. Let v be y(17). Solve 33*z - 44 + v = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9817118399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - -13. Suppose 22*f + r = 23*f. Calculate the greatest common divisor of f and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9156.201 rounded to the nearest ten?\nAnswer: 9160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 220\/3 + -73. Let f = -2 + 1. Sort f, b, 2\/17 in decreasing order.\nAnswer: b, 2\/17, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-6)*(3 + -129). Let d = -61 - n. Suppose -m = -x - 47, d*m - 98 = -0*m + x. List the prime factors of m.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34 + 64. Calculate the remainder when m is divided by (0 + -22)\/(22\/(-11)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 7*k - 38 = -23*x - 12*k - 0*k - 3*k, 0 = -2*k - 10 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 12316.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*i + 2*i - 17*i + (-4 + 0 + 2)*(5*i - 3*i - i - 12).\nAnswer: -12*i + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 5*p**2 + 0*p**3 - p**2. Suppose -3*d - 9 = -0. Give i(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h*((h\/(((h\/h**(1\/3)*h)\/h*h*h*h)\/h)*h*h)\/h)\/h*h*h*(h*(h\/h**(2\/23))\/h)\/h*(h*h*h**(-1\/2)*h)**(3\/4) assuming h is positive.\nAnswer: h**(2275\/552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 144*g + 5*g - 1 - 16*g to b + n*g and give n.\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3202)\/(-14) + 20\/70 + 0. Let u = w - 209. Let y(b) = 3*b - 6. What is the lowest common multiple of u and y(4)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 71.5 - 72. Sort 0.4, c, 0.5, 5\/2.\nAnswer: c, 0.4, 0.5, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 24339688 or -7?\nAnswer: 24339688","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 45811751 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 3:08 PM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 256714?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*c + 8*c + 3. Is -2\/197 at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 87 (c) 127\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 9265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 7:11 AM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -824*d + 84 = -836*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 18*d**2 + 10*d - 38. Does 19 divide z(-19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 - -12. Let s = -14 - h. Let j(m) = -m**2 - 2*m + 2. Let n(t) = t**2 + 3*t - 3. What is s*n(x) + 3*j(x)?\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -102425760 divided by 4\nAnswer: -25606440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 41860.4845 to the nearest one thousand.\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111001 - 100?\nAnswer: -1111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -13*k**2 + 106*k - 5. Give n(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 - 66*f + 246. Let p be b(62). Let z be 2*1 - 1 - 1. Put p, -1, z, -5 in descending order.\nAnswer: z, -1, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -70 (base 11) to base 3\nAnswer: -2212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**4\/23 - 20*x**3 - 3398*x**2\/23 + 19048*x\/23 - 20856\/23 = 0?\nAnswer: -11, 2, 237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gfootgoowlottwfl. Give prob of picking 2 l and 1 o.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wfeftfhmfhhhthtmhht. Give prob of picking 1 e and 1 t.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -8, 0 + 2 = -4*d + l for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 914880149 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000008048956 rounded to seven dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -360 = -113*q - 94*q - 5742. Put q, 4, -5 in increasing order.\nAnswer: q, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 577639462 to the power of 1\/3, to the nearest integer?\nAnswer: 833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 323987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from eoeoooo.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = h + 3*h - 5*t, -3*t - 15 = 0. Let l = h + 18. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of -17*w - 5\/6*w**3 + 0 + 0*w**2. Let r(t) be the third derivative of -t**5\/30 - t**2. Give l(r(v)).\nAnswer: 10*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 43 - ((-5 - -2) + 0). Let m = 9 + -27. Let o = m + r. Is o a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 532?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1748*y**4 + 1973*y**4 - 3958*y**4)*(3*y - 6*y + y)*(-4 + 2 + 0).\nAnswer: -948*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((w**2 + 0*w**2 + 0*w**2)*(0 - 2*w**2 + 0) - w**4 + 0*w**4 - w**4 + (-4*w**3 + w**3 + w**3)*(2*w + w + 15*w))*(39*w - 91*w + 45*w).\nAnswer: 280*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 0, -4, 1030 in increasing order.\nAnswer: -4, -1, 0, 2, 1030","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = -5*x, 5*x + 3*m + m + 10 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/3 (b) -1 (c) 1\/2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -128343\/13 (b) 2\/19 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 31, 50, 69, 88?\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = 14*a - 19*a. Let z(w) = -17*w**3 - 11*w**2 + 29*w - 11. Let l(c) = -6*c**3 - 4*c**2 + 10*c - 4. Determine a*l(s) - 4*z(s).\nAnswer: 2*s**3 - 6*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/7533 and 91\/41726?\nAnswer: 10139418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - 11*t + 15. Let c be v(-12). Suppose -10*y = -c*y - 1729. Is y a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 39\/(-52))*(-2)\/(-4). Which is the nearest to y? (a) -2\/5 (b) 0 (c) 115\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 3*f + 29571, 3*j - 18420 - 3759 = 3*f. Suppose 21903 = 7*t + j. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*y = -177*y + 12737 + 19351 - 3132 for y.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 divided by 6?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 1868*d + 7 - 1873*d + 3803*d.\nAnswer: 62*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -148 + 150. Let u(n) be the first derivative of -1 - 1\/2*n**x + 0*n. Let c(y) = 2*y**2. Determine c(u(j)).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -3*f + 3. Suppose -2*h = -f*c - 2, 5*h + 0*c = -4*c - 18. Let k be (1 + (-10)\/14)\/h. What is the third biggest value in -1, k, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61959341?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a - 1. Let c(t) = 3*t**3 - 11*t - 23. Let x(k) = k**3 - 4*k - 8. Let j(z) = -2*c(z) + 7*x(z). Let i(q) = -j(q) + 6*l(q). Differentiate i(f) wrt f.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = 3*b + 2*b. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 32 - 24. Calculate the remainder when 44 is divided by m\/4 + (-1)\/(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -896005, -896000, -895991, -895978, -895961?\nAnswer: -895940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3608.158 + -3603. Let r = q - 0.158. Which is the closest to 0? (a) r (b) -0.4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of 0*l - 2 + 3\/2*l**2. Let a(r) = 2*r + 3. Let t(k) = -k - 2. Let i(x) = -2*a(x) - 3*t(x). Determine i(s(m)).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 6735 = -5534. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-18)*(-4320)\/880\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -3. Suppose -4*x + 2*b + 15 = -9, 3*b = l. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -169.8 * 2.7.\nAnswer: -458.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 783577 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 a, and 1 l when three letters picked without replacement from {a: 1, p: 7, l: 2}?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 minutes before 2:15 AM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is (461 - 468) + (-38 - -2)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 528, 480, 412, 324?\n\"Answer: -10*i**2 - 18*i + 556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 437454 and 988322?\nAnswer: 26684694","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u**2 + 4*u**2 + 9*u**3)*(1112 + 2517 - 1148 - 2*u).\nAnswer: -18*u**4 + 22329*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 972, -16, -1.\nAnswer: -16, -1, 972","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -497368, 1\/5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xmaqxhqxax. Give prob of picking 1 h and 1 m.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-63))\/(230\/(-207))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qddwddiqqiddqqqddid. Give prob of picking 1 d, 1 q, and 1 w.\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(4\/(-4) + 3). Suppose y + y - 16 = w. Suppose u - 20 + y = 0. Calculate the remainder when u is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 18884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 216276412 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r + 6. Let d = -830 + 866. What is the smallest common multiple of d and t(0)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4671)\/(-243) - 2\/9. Solve 14*i = z*i + 25 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 11, i: 1}.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3754 divided by -116?\nAnswer: 1877\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -276 - -276.0054. Let y = -0.1054 + l. Let k(x) = x**2 + 3*x - 6. Let a be k(-5). Put y, a, -0.5, -0.2 in descending order.\nAnswer: a, y, -0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31850, -63599, -95346, -127091, -158834, -190575, -222314?\nAnswer: -254051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**4 - 18*l**3 + 29*l**2 + 48*l = 0. What is l?\nAnswer: -1, 0, 3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2 + sqrt(19) + -3 + (sqrt(1539) - sqrt(1539)*1)*-5.\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 7:30 PM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 i when two letters picked without replacement from {s: 2, q: 1, t: 2, i: 1, u: 1, e: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 - 4. Let d be c(3). Suppose -4*k = -d*k + 65. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/9))**(11\/6))**(2\/127) assuming y is positive.\nAnswer: y**(11\/3429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 2:01 AM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of b**4\/30 - b**2\/5 + 4*b. Factor n(k).\nAnswer: 2*(k - 1)*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7, p: 5}. What is prob of picking 3 p?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-23)\/(1*(-1)\/2). Suppose 5*z + 4 = 2*a + r, 4*z + 5*a = 27. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 6:45 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2196727391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkkkkk. Give prob of sequence kk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4475.179 millennia in centuries?\nAnswer: 44751.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 8*y**2 - 12*y + 16. Calculate the remainder when v(5) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.894 + -0.006. Let y = p - 1.1. Let h = 79\/55 + -18\/11. Which is the smallest value? (a) y (b) h (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, f: 3, g: 3}. What is prob of picking 1 f and 3 z?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 12:05 PM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 204186864 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*l + 8 - 10*l - 8)*(-8*l**2 - 5 + 5) as k*l**2 + n*l + j*l**3 + i and give j.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - o + 18 = 0. Suppose 3*s + 16 = -k, -s - 2*s - 3*k = 12. Is o less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 41.30492 millilitres?\nAnswer: 0.04130492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 - 12*t + 4. Let s be m(-12). Suppose 1 = 3*f - 5. Suppose -w = 3*w + f*p, w = -2*p. Solve w*j - s*j - 12 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32 - -38. Suppose i*h - 1678 - 2102 = 0. Suppose k = -5*t - 2*k + 1058, 3*k + h = 3*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-45)\/10)\/(6\/112). Let w = -289 - -414. Let p = w + c. What is the remainder when p is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 133 - 167. Suppose 4*g = 4*q + d, 2*g + 2*q - 27 = g. Let l = 1 + g. What is the greatest common factor of l and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 - 2*p - 7. Let d be r(7). Suppose -2*q - 4 = -4*c + 12, 2*c + 4*q = d. Does 3 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -65 - (-62 + 4 + 47).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 69 + -67. Suppose 48 = j*f - 10*f. Sort -5, 1, 5, f.\nAnswer: f, -5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 2*u**2 - 2*u + 2*u)*(3*u + 4*u + 0*u).\nAnswer: -14*u**3 - 7*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - 2 + 16*q - 10 + 2. Let l be y(11). Suppose -4*a = 5*h - 201, -l - 54 = -2*a - h. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*a + 12*a = -u + 11, a + 19 = -4*u for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - 2*y - 3. Let g(f) be the third derivative of -f**6\/120 - f**4\/8 - f**3\/2 + 9*f**2. What is 2*g(x) - 3*v(x)?\nAnswer: x**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3)\/(-3))\/(8\/40))\/(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -896.567 to the nearest ten.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-1406)\/4218)\/(((-6)\/(-3))\/4)*201\/(-2)\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -1 + 0*i**2 + 2\/3*i**6 - 12\/5*i**5 + 9\/4*i**4 + 0*i - 2\/3*i**3. Suppose w(g) = 0. What is g?\nAnswer: 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from htthtisudddihih. What is prob of sequence ttiu?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**2 + 15 - 15 + 8*p**2.\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -19*p + 2. Let r(j) = 28*j - 3. Calculate -8*q(s) - 5*r(s).\nAnswer: 12*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 29265*i*k - 12*i - 28*k + 732851 wrt k?\nAnswer: 29265*i - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - g**2 + 40. Let l be d(0). Let j = l - 20. What is the remainder when j is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 90\/(-112) + (-221)\/136 + 2\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -4228*u**2 - 10*u - 28. Let k(w) = -1409*w**2 - 3*w - 8. Let o(q) = 2*h(q) - 7*k(q). Let z(x) = -2*x. Give o(z(n)).\nAnswer: 5628*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -29593 divided by -38\nAnswer: 29593\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -671848 divided by -4.\nAnswer: 167962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**3 + 17*u**2 + 19*u - 8. Let t be w(-7). Solve 17*z = t*s + 12*z - 49, -3*z = 5*s - 5 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3603060737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of -x**4\/36 + x**2\/6 - 22*x. Factor d(j).\nAnswer: -(j - 1)*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of -d**4\/12 + d**3 - d**2\/2 - d - 1. Let k(o) be the first derivative of s(o). List the prime factors of k(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1378?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 75*a**2 - a + 1. Let y be v(1). Suppose -83*l = -107*l + 600. Calculate the highest common divisor of l and y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of 0*m - 2 + 7\/4*m**4 - 10\/3*m**3 + 0*m**2. What is the third derivative of a(u) wrt u?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 646647097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 10:24 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2 - 45*i - 150.\nAnswer: -3*(i + 5)*(i + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 divided by -890.\nAnswer: -19\/890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-62 - 10) + -1 + (2 - -2). Which is the third smallest value? (a) 3\/2 (b) 2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 3:42 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 69743735, 139487465, 209231195, 278974925, 348718655, 418462385?\n\"Answer: 69743730*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6526?\nAnswer: 2, 13, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 6 + 0 - 242*u**3 + 3.\nAnswer: -242*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 m when three letters picked without replacement from llml?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -40*h**4 + 66*h**3 - 12*h**2 + 4*h. Let a(n) = n**4 - n**3 - n**2. Let u(q) = -36*a(q) - 2*v(q). Suppose u(c) = 0. What is c?\nAnswer: 0, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2. Let k(w) be the third derivative of -77*w**4\/4 + 5*w**2 - 8*w. Calculate k(r(s)).\nAnswer: -462*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 9679.84\nAnswer: -19359.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 558025567?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 117897 and 9841.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = -y - 12, -2*y - 30 = -7*y - 5*d for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 497 + 180*h**3 - 5694*h + 5694*h wrt h.\nAnswer: 540*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2453*p + 1713*p + 1379*p.\nAnswer: 5545*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g**2*y**4 - g**2*y - 45*g**2 + 154*g*y**5 + 2*y wrt y?\nAnswer: -24*g**2*y**2 + 3080*g*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 353, 2767, 9289, 21971, 42865?\n\"Answer: 342*v**3 + 2*v**2 + 14*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -6. Let q = 88 + -80. Suppose -8 = -3*b - 2. Solve 0 = b*l + s*l + q for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 8, 56, 174, 386, 716, 1188, 1826?\nAnswer: 2654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.85 - -0.95. Let o = -18 - -26. Let u = o - 7.5. Which is the nearest to 0.1? (a) 5 (b) u (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7445, -29340, -65825, -116894, -182541?\nAnswer: -262760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p**2. Let q(y) = 9*y + 4. Let h(k) = -10*k - 5. Let g(w) = -4*h(w) - 5*q(w). Determine l(g(c)).\nAnswer: 75*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/5 (b) 5 (c) -0.7 (d) -107\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 0 - -6 - -2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6327203 + 5314071. Let v = s - 48700108. Let p = v - -58558834. What is p rounded to the nearest one million?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66224 (base 8) to base 6\nAnswer: 332404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -2, 20.\nAnswer: -2, 0, 2, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3*f - 11342652 = 2512558, -f + 6927606 = -2*j. Let n = 13943804 + j. Round n to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1094314 take away 0.4?\nAnswer: -0.5094314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -260d1 (base 16) to base 12.\nAnswer: -76241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*v - 27 + 7, -5*f + 5*v = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 5:18 PM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -21*x - 564. Determine m(-28).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1839 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -29*l + 2*l + 17*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 50402, 0, -1, 3\/130 in increasing order.\nAnswer: -1, 0, 3\/130, 50402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2405?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1605394480 - -42.\nAnswer: 1605394522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 k when two letters picked without replacement from hhhhhhhhkhhh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m - 2*g + 12, -5*m + 2*g + 21 = 49 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30 + 38. Calculate the highest common factor of c and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -79.5907 - 0.0093. Let b = 82.211 - 0.211. Let o = m + b. Round o to 0 dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 7*u**2 + 7*u + 2. Let l be h(-8). Solve -2*n + l = -2*q, -4*n = -5*q - 25 + 2 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 9:08 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 364 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: Let n = 5337 - 2061. What are the prime factors of n?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3030 take away -74278?\nAnswer: 77308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 462*o + 2732*o - 42091 - 11714 = 54791 for o.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 4*g = 19 - 5, 4 = i - g for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 281112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 191 + -2 + (-20)\/5. Let h = p - 182. Solve 12 + h = -3*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.9, -1, -5, -17, -72\/17, 4 in descending order.\nAnswer: 4, -1, -1.9, -72\/17, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -92.2 + 82. Let n = 0.2 + o. Let t = 10.051 + n. Round t to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.07 + -4.07. Let h = -14.3 - -14. Which is the nearest to 0? (a) 0.2 (b) t (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 1, -0.4, 24.141?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - c + 39 = -k, -6*c + 5*k + 195 = -8*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 126395006 less than 126395006?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001900411 rounded to seven decimal places?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225929?\nAnswer: 11, 19, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/((-12)\/(-9) + (-618)\/450). Calculate the least common multiple of 10 and 10\/b*95\/(-2).\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-473400)\/(-48))\/(11\/(-3784)). What is l rounded to the nearest 100000?\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -181 + 183. What is the closest to -0.07 in j, 6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185 is divided by 65?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20177508 is divided by 9757.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.4, -1\/3, 2\/7, 0.2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1856 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 4*b**2 + 8*b - 7. Let a be r(5). Suppose 39 = 9*s - 24. Suppose 17 = -s*z + a*z. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3 = 15. Let w(q) = 27 - q**2 - 4*q - 16 - y + 7*q. Calculate w(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 107329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*j - 432 + 874 = -935 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 - -217. Suppose 3*j + 3*v = -2*j + 346, 0 = 3*j - 5*v - u. Calculate the common denominator of 3\/5*10\/j and -101\/8.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/(2 + 2 + -2). Let f(i) = 7*i - 10*i + b*i. Let m(n) = 3*n. Determine f(m(d)).\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3*w = 0, -5*u - 4 = 4*w + 7. Let y be 3 + -2 + 0 - 0. Is u*y\/2*-14 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 3*j**2 + 2*j - 1. Let a be z(1). Let l be (-1 - -1)\/(4\/(-4)). Suppose -a*c - 8 = -l*c, -4*c - 2 = f. Is 3 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1222 and 277966.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 55*k**3 + 5*k**2 + 6*k - 514. Let r(w) = 163*w**3 + 14*w**2 + 16*w - 1541. Let x(u) = 8*h(u) - 3*r(u). Find the first derivative of x(y) wrt y.\nAnswer: -147*y**2 - 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -8*n + 115. Let m be l(15). Put -4\/17, 5, m in ascending order.\nAnswer: m, -4\/17, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33475 and 103.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 26*p**2 + 79*p - 2094. What is g(26)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -24*i**3 - 2*i**2 + 1. Let c be h(-1). Let b be 3\/9*-5*9. Let f = b + c. What is the greatest common divisor of 8 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**19)\/(c*(c**(-9)*c)\/c*c))\/(c**(-3\/8))**(-3) assuming c is positive.\nAnswer: c**(207\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4*x + 8. Let j(z) = 46*z - 21. What is q(j(t))?\nAnswer: 184*t - 76","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (6\/5 + -1)*42130\/50556\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 759, 6, -1, -6, 20, 0, -2 in descending order.\nAnswer: 759, 20, 6, 0, -1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 82064 = -4*g, -2*g = 5*m - 88345 - 14217. Is 70 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129362 is divided by 29?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7946 and 3081404?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 228 + -224. Suppose -y = -3*s + 310894, s - 766128 - 477470 = j*y. What is y rounded to the nearest ten thousand?\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20685)\/788)\/(3\/(-8))*-3*1\/(-15)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*r + 4*f - 0, -4*r - f = -5. Calculate the remainder when 19 is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 388.001 - 388. Let w(q) = -8*q + 52. Let r be w(7). What is the biggest value in v, -1\/2, r?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30*k**4 + 415*k?\nAnswer: 360*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/1588561 and -23\/676.\nAnswer: 82605172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + p = -0*u - 16, -5*p = -u + 10. Let g(j) = -15 + 7 - 2 + 2*j + 2. Let m be g(6). Sort 2, m, u in decreasing order.\nAnswer: u, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w. Let k(b) = -14*b**2. What is k(v(t))?\nAnswer: -14*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1132.\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -2*f + 3*n + 209, 53 = f - n. Let u = -38 + f. What is the lowest common multiple of u and 58?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 0 - 2 - h - 3 + 6. Determine r(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*t**2 - 4*t**2 + 17*t**2.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 31928.82ml in litres?\nAnswer: 31.92882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 + 11 - 29 + 7*v**2.\nAnswer: 7*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/3)\/((-30)\/240). What is the nearest to -2\/7 in -0.5, 2\/3, v, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5872 is divided by 49.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 - -0.3?\nAnswer: 136.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) - -5*(sqrt(70) - (sqrt(70) - (sqrt(70) + 2*sqrt(70)) - sqrt(70))))\/(sqrt(320) - 2*sqrt(320)))\/((2*sqrt(2268))\/(sqrt(9) - sqrt(1089)*-2)).\nAnswer: -161*sqrt(2)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 AM and 7:52 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -4 (b) -5 (c) -2\/5 (d) 60\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -8387*v. Let w(n) = 63*n**2 + 50*n**2 + 64*n**2 - 179*n**2. Give w(q(c)).\nAnswer: -140683538*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1233, -13.\nAnswer: -1233, -13, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -25, -31, -37, -43, -49, -55?\n\"Answer: -6*w - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1735\/22444?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 2. Let q be 14\/(-4) - (n + -2). Put 2, q, -3 in ascending order.\nAnswer: -3, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -3de?\nAnswer: 3dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 1. Let x(y) = -18*y**2 + 65*y - 3. Let m(n) = -3*h(n) - x(n). What is the second derivative of m(v) wrt v?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 2. Suppose -2*c = -4*p - 22, -3*c + 42 = -5*p + 13. Sort c, -2, u, -1 in descending order.\nAnswer: c, u, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-8)*h**(1\/6))\/(h\/(h*h**(1\/2)\/h)*h)**19 assuming h is positive.\nAnswer: h**(-109\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-309*a + 1565*a + 708*a)*(2 - 4 + 1) as k*a + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31867, 31872, 31879, 31888, 31899, 31912?\nAnswer: 31927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ulupuppppppupp. What is prob of sequence uppu?\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) -0.05 (c) -3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -76523532?\nAnswer: -76523528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2833*c + 867*c - 1091*c.\nAnswer: -3057*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5 - 7)\/(((-16)\/(-27))\/8). Which is smaller: -248\/9 or y?\nAnswer: -248\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.6036 to one decimal place.\nAnswer: -16.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/19, 2\/9, 2\/5, 1, -2\/5?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*((-960)\/50 - -11)*3165\/6. Is -8650 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v**3 - 43*v - 4*v**3 + 92*v + v**3 - 49*v.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 265599088?\nAnswer: 2, 16599943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5681, 9227, 12763, 16283, 19781?\nAnswer: 23251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 12:54 AM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 3*v**2 - v + 2. Let c be i(-3). Let h be (-1)\/(-3)*(-4 + 16). Suppose -10 = -h*r + 2*r. Solve -c*a - r = -0*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/5910 and -103\/38262.\nAnswer: 37688070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 523823 or 523820?\nAnswer: 523820","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 47237890 to the power of 1\/3, to the nearest integer?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 210*v**2. Let p be a(-1). Let t be (-1)\/4 + p\/8. Let l = t - 15. What are the prime factors of l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6268.26 + 6338. What is x rounded to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-5 - -6) + -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/3, 0.2, -8\/9, -4?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6}. Give prob of picking 4 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -78*g + 93. Determine d(3).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*-1*(-5)\/10. Let d(g) = -7*g**2 + g. Let x be d(i). Let q be (45\/(-25))\/(x\/20). Solve -2*r + k - q = -2, -r - 5 = -2*k for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*m = 295 - 81 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 2*i + 3 = 0, -i - 5 = -5*j + 1. Let n be (1 + -1)\/(j - 2). Suppose n*y = -4*y + 24. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 15*q - 534. Let j(o) = 10*o - 356. What is -5*d(m) + 8*j(m)?\nAnswer: 5*m - 178","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44 and 737.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 (base 14) in base 5?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + -7 + 3 + -1. Let q(h) = h**3 + 4*h**2 - 6*h - 3. Let x be q(g). Suppose -2*p + 12 = 2*p. Solve d + p*i = x*i - 1, -5*i = -4*d - 13 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5568)\/667*4416\/(-384).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 48*y + 27*y + 450 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1457.822977 plus -0.92829?\nAnswer: -1458.751267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1935 + -4.8065. Suppose 3*l + 5 = 4*a, 0*a - 6 = 2*l - 2*a. Let i be (-2)\/l - 36\/77. What is the third smallest value in q, i, -0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -791 - 223 = -174*c + 900 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 203, 2, 1\/2 in ascending order.\nAnswer: 1\/2, 2, 203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136558?\nAnswer: 2, 68279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -167 - 166*w**2 - 784*w**2 + 79 + 88 as r*w**2 + q*w + n and give r.\nAnswer: -950","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 270 and 49761?\nAnswer: 497610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7, h: 3, l: 8}. Give prob of sequence rrrl.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156207 is divided by 275.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) 1.3 (c) 3\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 530757 is divided by 141.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8349 and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 39 + 90b?\nAnswer: 945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 1275.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of 7*l**3 - 4*l**2 + 3*l - 45. What is the second derivative of k(g) wrt g?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (19 + -20)\/((-2)\/12). Let x = -3203\/11 + 291. Which is the nearest to -1? (a) i (b) x (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -187442, -374864, -562286, -749708?\nAnswer: -937130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 8 = 0, -2*y + 23 = y + 5*i. What is the remainder when 21 is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147455.\nAnswer: 5, 7, 11, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 3*r - 6, -r - 3*g + 6 = 4. Find a, given that -3*a**r + 0 - 3\/2*a**3 + 3\/2*a**4 + 0*a = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233*c + 230*c = 2*f, -4*f + 6*f = -4*c + 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 11) to base 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 136 or 138?\nAnswer: 136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 59 + 9. Let l = 162 - v. What is the remainder when l is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 15020100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*v**3 - 259736*v**2 - 9210*v + 263447*v**2 + 8*v**3 wrt v.\nAnswer: -12*v + 7422","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-12 + -3 + 26)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**9\/k)\/k*k)**(-7))**(-43) assuming k is positive.\nAnswer: k**2408","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 1624*x**4 - 1272*x + 424*x + x**3 + 7 + 426*x + 422*x - x**2 as y*x**4 + f*x**3 + r*x**2 + w + p*x and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3992549.\nAnswer: 11, 83, 4373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -l**3\/5 + 2326*l**2\/5 - 198721*l\/5 - 832164\/5 = 0?\nAnswer: -4, 93, 2237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hldn when four letters picked without replacement from {h: 2, l: 1, d: 1, n: 3}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -515 at least as big as -516?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 84.739 rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = u + 4. Let l be (u\/(-9))\/((-3)\/261). Let j = l - -45. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 3*k + 95. Suppose -6*x + k = -37. Does 5 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(-7)\/m)*m**(-9\/4)\/m)**26*(m\/(m*m\/m**1))**3*((m**2\/m)\/m)**(-2\/27) assuming m is positive.\nAnswer: m**(299\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4995?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1001100110 (base 2) to base 14\nAnswer: 31c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -n**7\/35 + n**5\/12 + 5*n**2\/2 + 4*n. Let z(c) be the first derivative of r(c). Find the third derivative of z(j) wrt j.\nAnswer: -144*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 i when two letters picked without replacement from {l: 3, j: 4, q: 5, i: 4, z: 3}.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4026\/(-165)*(-5)\/2. Sort 0, 3, j in descending order.\nAnswer: j, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/16 + 2\/8. Suppose -2*x + 38 - 16 = h. Let z = -2 + 2. Solve x = 5*v - 2*l, 0 = -2*v + 2*l + 2 - z for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = 4*g - 2*d, -3 = 2*d + 3. What is the highest common factor of g and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccltcgdlltgltc. What is prob of picking 4 c?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + 8*c - 7. Let f(h) = -h + 1. Let p(m) = -4*f(m) - s(m). Let d be (29 + -32)*(-2)\/2*1. Calculate p(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = g, -3*o = -g + 6*g + 4. What is the closest to o in 5, -0.1, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28 - -26. Let r(o) = -o + 6 + 5*o - 2*o. Let c(u) = u + 1. Let g(b) = n*r(b) + 6*c(b). Calculate g(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639850962 to the power of 1\/2, to the nearest integer?\nAnswer: 25295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64603, 63607, 61953, 59647, 56695, 53103?\nAnswer: 48877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1842*r**2 - 13*r + 63*r + 1842*r**2 + 5*r**3 + 103*r to the form s*r**2 + n*r + p + u*r**3 and give n.\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -206656 and 3.19?\nAnswer: -659232.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/11 at most as big as -29.6058?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 - 10*y - 9. Let r = 13 - 22. Let h be t(r). What is the units digit of 21 + h + (5 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 30042 and -3.\nAnswer: 30039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2168, 577, -6 in decreasing order.\nAnswer: 577, -6, -2168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 5*s + 50, 18 = 3*b - b + s. What is the second derivative of b*j**4 - 6*j**4 - 3 - j + 3 wrt j?\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 28023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - o - 4*m - 16, 4*o - 2*m = 18. Suppose -4*l + 22 = -2*n, -l - o*n = -2*l - 12. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by -2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1\/a**5)**(3\/38)*(a**1)**13*a\/a**(2\/9)*a*a\/(a\/(a**0*a)) assuming a is positive.\nAnswer: a**(2644\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*p**2 - 2*p**4 + 0*p**4 + 6*p**2)*(1 + 0 - 3) to the form a*p + k*p**4 + u + c*p**3 + t*p**2 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10697 - 10700. Let q(y) = y**3 - 11*y**2 + 11*y - 7. Let o be q(10). Sort -13, 1, n, o.\nAnswer: -13, n, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19578 (base 11) to base 4.\nAnswer: -12222232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38391?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61623 is divided by 30733.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4715813?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 146.688351 rounded to 2 dps?\nAnswer: 146.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in decades?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83638 - 19386 = 2192*q for q.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 1:25 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h - 254 + 7*h + 542 + 4*h)*(-h**2 - h**4 + h**2).\nAnswer: -8*h**5 - 288*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 120846 and 1100?\nAnswer: 6042300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 1759826.14 to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18255 is divided by 71?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3927?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3544 = 79*t - 3408. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*f**2\/9 - 719492*f\/9 - 287800\/9.\nAnswer: 4*(f - 35975)*(5*f + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -296*v + 296*v - v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -173104 divided by -10819.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1402 = -5*h - 29*i + 22*i, -2*i + 2 = 0. What is the smallest common multiple of h and 18?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 1\/1)\/(11\/198). Let j be (-4)\/n*(5 - 11). Is j less than or equal to -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 406807401?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m + 2*m - 47*m.\nAnswer: -41*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 174\/97 + -24551\/14065. Let w = -123\/145 + m. Which is greater: w or -21?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9 - 3384\/(-384))\/((-3)\/(-2)). Suppose -5*l - 12 + 42 = 0. Let d be (-2)\/(4\/l*-3). What is the closest to -0.4 in d, -5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -155, -391, -733, -1187, -1759?\nAnswer: -2455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*z + 16*z - 10*z)*(588 + 44*z - 588).\nAnswer: -1012*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002312 rounded to five decimal places?\nAnswer: -0.00231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/48 and 31\/348?\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*t = 13, 2*t - 8 = -2*u + 14. Solve 0*s = -2*s - u, 5*f = -4*s - 15 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/798 and -17\/10.\nAnswer: 3990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-2*2*sqrt(104)*-5)\/(sqrt(64)\/(sqrt(72)*-3)) + 1.\nAnswer: -180*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2871856 by -18.\nAnswer: 1435928\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4578665 and 2700.\nAnswer: 2472479100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10585*w + 147975.\nAnswer: 10585","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.03 - 0.07. Let b = 4014\/17 - 236. What is the closest to f in b, 2\/15, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102134 (base 7) to base 2.\nAnswer: -100010010011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1958389406?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vzq when three letters picked without replacement from qqvibzs?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 362 and -36399.\nAnswer: -13176438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffz. What is prob of picking 2 f and 1 z?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -193 + 205. Suppose c*a = -7*a. Solve 13 = 2*n + 2*q + 1, n + 3*q - 8 = a for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27*d*m**2*w + 2*d*w**3 - 11*d*w - 2*m**2*w**4 + 156*m**2*w**3 + m**2*w**2 wrt w?\nAnswer: 12*d - 48*m**2*w + 936*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1890478 divided by -4366?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x + 4457009 - 8920565 + 4463556.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -3243 > 17994?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -24*g. Let t(o) = o + 1. Let q(w) = -j(w) - 6*t(w). Let y be q(7). What is the highest common divisor of 15 and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12910, -12909, -12908, -12907, -12906?\nAnswer: -12905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve k - 11*m + 27 = -216, -47 = 3*k - 2*m for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32 + 50. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.355 + -1551.9952.\nAnswer: -1550.6402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (534\/445)\/((-3)\/1*1*83\/(-5810))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 divide 15669318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(15\/6*-6)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/6 of a hour?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/(sqrt(14)\/sqrt(2)) + -1)**2 + ((-1*sqrt(243)*6)**2 - sqrt(243)).\nAnswer: -11*sqrt(3) + 8752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40\/11 - -131\/33. Factor -z - 1\/3*g**3 + 1\/3*g**2 + 1\/3*g.\nAnswer: -(g - 1)**2*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6, w: 1, i: 11}. Give prob of picking 2 i.\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 9:13 AM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of -z**4\/12 - 13*z**3\/6 - 20*z**2. Let c be v(-8). Solve -c = -s - 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20312?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-50)\/35*(-105)\/48. Is 4 bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, f: 2, q: 2, u: 2}. What is prob of sequence ruq?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13 - 1 + 37)*(142*f - 38*f - 68*f)*(3 - 1 + 0) to the form z*f + p and give z.\nAnswer: 1656","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -41*a**2. Let v(u) be the third derivative of -27*u**2 + 0*u + 0 + 1\/20*u**5 + 0*u**4 + 0*u**3. Give v(y(h)).\nAnswer: 5043*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - 10\/6)\/(116\/(-87)). Let k = 14\/11 + -64\/33. What is the closest to -1 in a, -3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 16 = -4*c, 5*i = -c - 2 + 6. Let k(n) = 11*n**2 + 85*n + 6. Let g be k(-8). Let w = i + g. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7010 - -7023. Is z greater than or equal to -67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 10:42 AM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -r - 5*r. Suppose -a + 8 = r*a. Calculate the least common multiple of a and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.09 in 0.6, 0.5, 4, -0.4, 1\/816?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 27464 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3397815008?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 2:25 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 2, 0.29, 3\/101, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/1894568 and 41\/52.\nAnswer: 1894568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 26 = -2*l - 2*l, -5*l + 2*m - 49 = 0. Let y = 9 + l. What are the prime factors of 1 + y\/(-3) + 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (0 - -10) - (-1 + 15)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-7))\/(221\/(27846\/(-648)))?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 1830835.\nAnswer: 2\/1830835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75080?\nAnswer: 2, 5, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 918397165 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 16*f. Let w(l) = -3*l - 2. What is a(o) + 5*w(o)?\nAnswer: o - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -11084.83 to the nearest one hundred.\nAnswer: -11100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 73.274 + -4.884. Let h = 68 - s. Let o = 0.77 + h. Round o to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 11 = -5*o, -4*o - 11 = -4*y - y. Suppose 4*v = -2*k + 80, -y*v + 6 = -k + 46. Does 5 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1009287 is divided by 267.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 881123 + -417544. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + 161 = 4*y + 3*w, 5*y - w = 215. List the prime factors of y.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.580194 millilitres in litres?\nAnswer: 0.009580194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - u. Determine h(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of 0*c + 1\/60*c**5 + 0*c**3 + 1\/12*c**4 + 3*c**2 + 0 - 1\/120*c**6. Factor d(r).\nAnswer: -r*(r - 2)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 3, 40 in decreasing order.\nAnswer: 40, 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8271 - 8268. Which is the nearest to 0.1? (a) -5 (b) 0.3 (c) 2 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.8 and 1.1.\nAnswer: -1.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14379817637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -5*a**2 - 360*a + 3600. Let w(r) = -4*r**2 - 240*r + 2400. Suppose -t = -h + 3*t - 1, 0 = 5*h - 5*t + 20. Let i(g) = h*v(g) + 7*w(g). Factor i(b).\nAnswer: -3*(b - 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*j + 0*j - 5*j)*(123 - 123 + 26*j)*(-7 + 3 - 1) to the form z*j**2 + i + y*j and give z.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 53822 and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 42 + -64?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, 4, -791, -437 in decreasing order.\nAnswer: 5, 4, 1, -437, -791","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 262 and 88?\nAnswer: 11528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1380877409.\nAnswer: 167, 277, 29851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 69 = -2*o. What is the remainder when o is divided by 32\/(-15)*-6 - (-2)\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 24. Let o(k) = k**3 - 3*k**2 - 5*k - 2. Let s be o(3). Is s != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -577*g - 570*g + 1144*g.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1243 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 84*i**2 + 29*i + 128. Let x(d) = -21*d**2 - 8*d - 32. What is -11*x(r) - 3*z(r)?\nAnswer: -21*r**2 + r - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 2*g - g)*(-3*g - 2*g + 6*g) + 2 + 2*g**2 - 2 - 181 + 181 - 31*g**2.\nAnswer: -27*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -588.79 - -600. Round h to 0 dps.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1053) - (5 + (sqrt(13)*-2)**2)) + -2*sqrt(13)*3*-4.\nAnswer: -57 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18.1 and -141.\nAnswer: 2552.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 453 is divided by 91.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(4\/3)*(q\/((q*q*q**(-28\/3))\/q))\/q*q assuming q is positive.\nAnswer: q**(32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -36*h**3 + 8*h**3 + 17*h**3 + 2*h**3 - 2*h**3 - 3*h**3 + (h**3 + 3*h**3 - 2*h**3)*(-1 + 3 + 0).\nAnswer: -10*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of -3*j**5\/20 + 2*j**4\/3 + 9*j**3 + j. Find the second derivative of l(t) wrt t.\nAnswer: -18*t + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kbbk when four letters picked without replacement from bbkbbbbbbkkbbbb.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = 10*j - 10152. Let n = -560 + j. Solve -n*q = -25 + 9 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 6*f**2 - 9*f + 5. Let t(j) = -j**3 + 7*j**2 - 10*j + 6. Suppose 12*l - 92*l + 560 = 0. Give l*a(y) - 6*t(y).\nAnswer: -y**3 - 3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*o**3*x**2 + o**3 - 18*o**2*x**2 + 2*o**2 + 21*o + 3*x**2 + 13*x wrt x.\nAnswer: 6*o**3 - 36*o**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 2*p**3\/3 - 4358*p**2\/3 + 2380544*p\/3 - 2367488 = 0.\nAnswer: 3, 1088","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 266463?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2 and -97316.\nAnswer: -97318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1935 + -1916. Let u(x) be the first derivative of 3\/5*x**2 - g + 1\/15*x**3 + x. Find m such that u(m) = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 255 * 5\nAnswer: 1275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 u when two letters picked without replacement from {z: 5, o: 4, u: 10}.\nAnswer: 50\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -59*w - 15 + 24*w - 103*w. Let u be j(3). What is u rounded to the nearest 10?\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 33, 0.3, -0.2?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 56*o**2. Let j(y) be the third derivative of y**4\/4 - y**2 - 19*y. Calculate j(r(a)).\nAnswer: 336*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d - 2*d + 7*d)*(-8 + 4 + 13)*(3 - 1 + 0).\nAnswer: 36*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5254.428 - -5254. Which is the closest to z? (a) 2\/11 (b) -2\/11 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -205 (base 10) to base 12\nAnswer: -151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 4*y + 159, y - 55 = -c - 4*y. Let u be ((-24)\/(-20))\/(-3)*c. Let r = 18 + u. Calculate the lowest common multiple of r and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(1\/4)\/r)\/(r**(-5)\/r)*(r\/(r**(-2\/7)*r))**(6\/11) assuming r is positive.\nAnswer: r**(1973\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 34*m - 11. Let y be (-38)\/(-8) - 1\/(-4). Let l be h(y). What is the units digit of l\/15 + 8\/20?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 7*p. Suppose 2*o + 8 = 0, -2*o - 12 = 2*g - o. Let f be ((-3)\/(-12))\/(g\/(-32)). Let v(m) = f*m + 3*m - 2*m - m. Determine b(v(h)).\nAnswer: 14*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.1 (b) -63\/19 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k + 1. Let q(o) = 6*o - 4. Let b(j) = 2*q(j) + 11*s(j). Let h(a) = -a**3 - 9*a**2 - 7*a + 11. Let n be h(-8). What is b(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5064606.\nAnswer: 2, 3, 17, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -289562.95 and 0.5.\nAnswer: -144781.475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -119299000 rounded to the nearest one million?\nAnswer: -119000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*g + 100 - 100)*(4 - 7 - 18).\nAnswer: 315*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16402 is divided by 823.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9992 - 9971. Solve -h = -4*w + 19, 4 = -2*h - 3*w + b for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 8*i**2 - 48*i - 8. Suppose -5*c - 13 + 22 = 3*y, 0 = c + 4*y + 22. Calculate j(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -218689 smaller than -218692?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus 3192144?\nAnswer: -3192143.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 302 and 55417?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -1\/2*v**2 + 0*v + 0*v**4 + 44 - 7\/18*v**3 + 1\/30*v**5. Suppose z(q) = 0. What is q?\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -8*n**3 - 9*n**2 + 8*n + 20. Let z(a) = 3*a**3 + 3*a**2 - 3*a - 7. Let j(u) = 4*y(u) + 11*z(u). Determine c, given that j(c) = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*g - g**2 - 55087 + 81*g.\nAnswer: -g**2 - 55087","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -333 + 333 - 35*b - 29*b + 63*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10344*j**2 + 10604*j + 1480.\nAnswer: 4*(6*j + 1)*(431*j + 370)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(9\/4)*j)\/j)**(-10)\/((j*j**(2\/17))\/j)**3 assuming j is positive.\nAnswer: j**(-777\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 88 - 83. Which is the nearest to -2\/5? (a) 0.1 (b) j (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.1 + -1.1. Let o = 625.445 - 0.445. Let r = o - 624.7. What is the fourth smallest value in 1, l, r, -0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101010110111111110000001 (base 2) to base 8.\nAnswer: 52677601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 7*l**2 + 5. What is k(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -6705 to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/4*4\/24 - 68\/(-16). Solve 360 = -z*j + 368 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80, 350, 808, 1460, 2312, 3370, 4640, 6128?\nAnswer: 7840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven fifths of a century?\nAnswer: 2640","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: -10 + 11 + -9 + (2 - -1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*a = -21*a + 18. What is the lowest common multiple of a and 28?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7111 and 276782?\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 4:54 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.2488l in millilitres?\nAnswer: 87248.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 13 = 2*l + 5*b, 3*l + 21 = -5*b. Let j = -12 - -20. Let i be (-2)\/j*12\/(-9). Is i greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50.5 - 50.51. Which is smaller: p or 174?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 10 (b) 5\/2 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -3*z + 2*v - 6, -2*v = 3*z + 2. Let u be z + 3 - -8 - -3. Calculate the greatest common divisor of u and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 27\/4 of a meter?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 3*g**2 - g + 2. Let u(q) = -2*q**2 + 16*q + 2. Let l be u(8). What is p(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6703 is divided by 137?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2 - 1130*t + 19788.\nAnswer: -2*(t - 17)*(t + 582)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.012 - 0.012. Which is the fourth smallest value? (a) 0.2 (b) -11 (c) -0.3 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -140 - -134. Let m(r) = 766*r**3 + r - 1. Let n be m(1). Is n\/4 - l\/(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, t: 3}. Give prob of picking 1 d and 3 t.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l + 7. Let z be n(-6). Sort -5, 4, z.\nAnswer: -5, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = -16*s + 24 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/5 (b) 16828 (c) -2\/31 (d) -1\/7 (e) -5 (f) 5\/2 (g) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 129*h + 244*h - 1 - 113*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.14 + 0.03. Are -2\/3 and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -3, -0.3, -3025, -5, -6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from isisisssssiiissisii.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, v: 12, y: 5}. Give prob of picking 1 v and 1 u.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 110411082?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 12*w**2 + 33*w + 15. Let y be n(14). Let k = 88 - y. Suppose 0 = 3*o - 2*a + 10, k*o + 20 = 3*a + 5. Solve -4*p + 3*p - 5 = o for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 143 and 583?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1904*d - 28*d + 26311 = 66883 for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*k - 3690 = -5*n - 32*k, 0 = 4*k + 12. What is the hundreds digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -11*c**3 - 8*c**2 + 4*c - 17. Let k(u) = 34*u**3 + 22*u**2 - 11*u + 52. Determine -11*f(a) - 4*k(a).\nAnswer: -15*a**3 - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7295?\nAnswer: 5, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1344)*-2)\/(sqrt(168)\/sqrt(6) + sqrt(7))*-4)**2.\nAnswer: 4096\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -2*h**2\/5 - 44*h + 448\/5 = 0.\nAnswer: -112, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3374872441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/1283095 or -1?\nAnswer: -6\/1283095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 3 (b) 4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyydgyddyddgdgdgyy. What is prob of picking 3 g and 1 y?\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 8) to base 6.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 14821*l - 29641*l - 945*l**2 + 14817*l)*(5 - 5 - 3*l) as c*l**2 + x*l**3 + b*l + f and give b.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 522, 528, 538, 552, 570, 592?\n\"Answer: 2*s**2 + 520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/30*(-60)\/(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (0 - 2)\/(-54*(-24)\/1305) and -93\/16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54514\/735 at least as big as 73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -20767.912343 + 20768. Let f = 0.05577 - w. Let h = f + 0.032. Round h to 5 dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}